tax - a compulsory financial charge or some other type of levy imposed on a taxpayer by a governmental organization in order to fund government spending and various public expenditures

3 cases of fresh apples that cost $21.95 per case with 20% off and a 7.5% sales tax

3 cases of fresh apples that cost $21.95 per case with 20% off and a 7.5% sales tax
Figure out the total cost before the discount:
Total Cost before discount = Cases * Price per case
Total Cost before discount = 3 cases * $21.95 per case
Total Cost before discount = $65.85
Now, find the discounted value of the apples:
Discounted Apple Price = Total Cost before discount * (1 - discount percent)
Discounted ApplesPrice = $65.85 * (1 - 0.2) <-- 20% is the same as 0.2
Discounted ApplesPrice = $65.85 * 0.8
Discounted ApplesPrice = $52.68
Now, apply the sales tax to this discounted value to get the total bill:
Total Bill = Discounted Apple Price * (1 + tax rate)
Total Bill = $52.68 * (1 + .075) <-- 7.5% = 0.075
Total Bill = $52.68 * 1.075
Total Bill = [B]$56.63[/B]

3timesanumberdecreasedby3

A necklace chain costs $15. Beads cost $2.50 each. You spend a total of $30 on a necklace and beads before tax. How many beads did you buy in addition to the necklace?
Let the number of beads be b. We're given the following equation:
2.5b + 15 = 30
To solve for b, we [URL='https://www.mathcelebrity.com/1unk.php?num=2.5b%2B15%3D30&pl=Solve']type this equation into our search engine[/URL] and we get:
b = [B]6[/B]

A $650 television costs $702 after sales tax is figured in. What is the sales tax percentage?

A $650 television costs $702 after sales tax is figured in. What is the sales tax percentage?
[U]Calculate Sales Tax Amount:[/U]
Sales Tax Amount = Total Bill - Original Cost
Sales Tax Amount = 702 - 650
Sales Tax Amount = 52
[U]Calculate Sales Tax Percentage:[/U]
Sales Tax Percentage = 100% * Sales Tax Amount / Original Cost
Sales Tax Percentage = 100% * 52 / 650
Sales Tax Percentage = 100% * 0.08
Sales Tax Percentage = [B]8%[/B]

A $654,000 property is depreciated for tax purposes by its owner with the straight-line depreciation

A $654,000 property is depreciated for tax purposes by its owner with the straight-line depreciation method. The value of the building, y, after x months of use is given by y = 654,000 ? 1800x dollars. After how many months will the value of the building be $409,200?
We want to know x for the equation:
654000 - 1800x = 409200
To solve this equation for x, we [URL='https://www.mathcelebrity.com/1unk.php?num=654000-1800x%3D409200&pl=Solve']type it in our math engine[/URL] and we get:
x = [B]136 months[/B]

A $750 television is on sale for 30% off. There is a 7% sales tax on the television. How much do you

A $750 television is on sale for 30% off. There is a 7% sales tax on the television. How much do you pay?
30% off:
750(1 - 0.3)
750(0.7) = 525
Now, add 7% sales tax
525 * (1.07) = [B]561.75[/B]

A bedroom set that normally sells for $1100 is on sale for 15% off. If sales tax rate is 2%, what is

A bedroom set that normally sells for $1100 is on sale for 15% off. If sales tax rate is 2%, what is the total price of the bedroom set if it is bought while on sale?
[U]Calculate the sale price:[/U]
Sale Price = Normal Price * (1 - Sales Percentage)
[U]With our sales percentage of 15% = 0.15, we have:[/U]
Sale Price = 1100 * (1 - 0.15)
Sale Price = 1100 * (0.85)
Sale Price = 935
[U]Calculate post tax amount:[/U]
Post tax amount = Sale Price * (1 + Tax Percentage)
[U]With our tax percentage of 2% = 0.02, we have:[/U]
Post tax amount = 935 * (1 + 0.02)
Post tax amount = 935 * (1.02)
Post tax amount = [B]$953.70[/B]

A bicycle helmet is priced at $18.50. If it is on sale for 10% off and there is 7% sales tax, how mu

A bicycle helmet is priced at $18.50. If it is on sale for 10% off and there is 7% sales tax, how much will it cost after tax?
[U]Calculate percent off first:[/U]
10% off means 90% off the price
$18.50 * (1 - 0.1)
$18.50 * (0.9) = 16.65
[U]Now, add 7% sales tax to the discounted price[/U]
Price after sales tax = Discounted Price * 1.07
Price after sales tax = 16.65(1.07)
[B]Price after sales tax = 17.82[/B]

A bill at a resturant came to $95.75. There is 7.5% sales tax added on. You want to leave a 20% tip

A bill at a resturant came to $95.75. There is 7.5% sales tax added on. You want to leave a 20% tip to the total bill, after tax. How much money will you need to leave for the bill altogether?
Since the tip is [I]after tax[/I], we have:
Total Bill = Pre-tax Bill * (1 + Sales Tax Percent) * (1 + Tip Percent)
Total Bill = $95.75 * (1 + 0.07) * (1 + 0.2)
Total Bill = $95.75 * 1.07 * 1.2
Total Bill = [B]$122.94[/B]

A book cost $8.50 without tax. If the tax rate is 7%, what is the total cost of the book including t

A book cost $8.50 without tax. If the tax rate is 7%, what is the total cost of the book including tax?
8.50 * 1.07 = [B]$9.10[/B]

A guitar that normally cost n dollars is on sale for 20% off. The tax is 8%. What is the total cost

A guitar that normally cost n dollars is on sale for 20% off. The tax is 8%. What is the total cost of the guitar including tax?
Discount Amount = 0.2n
Total paid after discount = n - 0.2n = 0.8n
Tax amount:
0.8n * 0.08 = 0.064n
After tax amount:
0.8n + 0.64n = [B]0.864n[/B]

A limo costs $85 to rent for 3 hours plus a 7% sales tax. What is the total cost to rent the limo fo

A limo costs $85 to rent for 3 hours plus a 7% sales tax. What is the total cost to rent the limo for 6 hours?
Determine the number of 3 hour blocks:
3 hour blocks = Total Rental Time / 3
3 hour blocks = 6 hours / 3
3 hour blocks = 2
With 7% = 0.07, we have:
Total Cost = $85 * / 3 hours * 2 (3 hour blocks) * 1.07
Total Cost = 85 * 2 * 1.07
Total Cost = [B]181.9[/B]

A necklace chain costs $15. Beads cost $2.75 each. You spend a total of $28.75 on a necklace and bea

A necklace chain costs $15. Beads cost $2.75 each. You spend a total of $28.75 on a necklace and beads before tax. How many beads did you buy in addition to the necklace?
[U]Calculate the amount left to spend on beads:[/U]
Bead Spend = Total Spend - Necklace Cost
Bead Spend = $28.75 - $15
Bead Spend = $13.75
[U]Calculate the number of beads you bought:[/U]
Beads Bought = Bead Spend / Cost Per Bead
Beads Bought = $13.75 / $2.75
Beads Bought = [B]$5[/B]

A pair of jeans are priced at $129.99 there is a discount of 20% and sales tax of 8% what is the fin

A pair of jeans are priced at $129.99 there is a discount of 20% and sales tax of 8% what is the final cost
[U]Calculate discounted price:[/U]
Discounted price = Full price * (100% - discount percent)
Discounted price = 129.99 * (100% - 20%)
Discounted price = 129.99 * 80%
Since 80% = 0.8, we have:
Discounted price = 129.99 * 0.8
Discounted price = 103.99
[U]Calculate after tax cost:[/U]
Tax Rate = Tax percent/100
Tax Rate = 8/100
Tax Rate = 0.08
After Tax cost = Discounted price * (1 + Tax rate)
After Tax cost = 103.99 * (1 + 0.08)
After Tax cost = 103.99 * 1.08
After Tax cost = [B]112.31[/B]

a popcorn is $7.00 and a drink is $3.50 tax is 7%. how much will I pay?

a popcorn is $7.00 and a drink is $3.50 tax is 7%. how much will I pay?
Calculate pre-tax amount:
Pre-tax amount = Popcorn price + drink price
Pre-tax amount = 7 + 3.50
Pre-tax amount = $10.50
Calculate post-tax amount:
Post-tax amount = Pre-tax amount * (1 + tax percent/100)
Post-tax amount = $10.50* (1 + 7/100)
Post-tax amount = $10.50 * 1.07
Post-tax amount = [B]$11.24[/B]

A restaurant bill comes to $28.35. Find the total cost if the tax is 6.25% and a 20% tip is left on

A restaurant bill comes to $28.35. Find the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax.
Calculate the tip:
Tip = Bill Before Tax * Tip %
Tip = $28.35 * 20%
Tip = $5.67
Calculate Tax:
Tax = Bill without Tip * Tax %
Tax = $28.35 * 6.25%
Tax = $1.77
Total Cost = Bill + Tax + Tip
Total Cost = $28.35 + $5.67 + $1.77
Total Cost = [B]$35.79[/B]

A shopper paid $51.93 including tax for an item marked $48.99. What would she pay for another item m

A shopper paid $51.93 including tax for an item marked $48.99. What would she pay for another item marked $75?
Set up a proportion, assuming identical tax rates:
51.93/48.99 = 75/x where x is the after-tax amount
Using our [URL='http://www.mathcelebrity.com/prop.php?num1=51.93&num2=75&den1=48.99&den2=x&propsign=%3D&pl=Calculate+missing+proportion+value']proportion calculator[/URL], we get:
[B]x = 70.75[/B]

a store sells a certain toaster oven for 35. The store offers a 30% discount and charges 8% sales ta

a store sells a certain toaster oven for 35. The store offers a 30% discount and charges 8% sales tax. How much will the toaster oven cost?
[U]Calculate discounted price:[/U]
Discounted Price = Full Price * (1 - Discount Percent)
Since 30% = 0.3, we have
Discounted Price = 35 * (1 - 0.3)
Discounted Price = 35 * 0.7
Discounted Price = 24.5
Calculate after-tax amount:
After-tax amount = Discounted Price * (1 + Tax Percent)
Since 8% = 0.08, we have
Discounted Price = 24.5 * (1 + 0.08)
Discounted Price = 24.5 * 1.08
Discounted Price = [B]26.46[/B]

A sweater that you love costs $32. You really want the sweater but only have $35. If there’s a sales

A sweater that you love costs $32. You really want the sweater but only have $35. If there’s a sales tax of 4% on the item, do you have enough to buy the sweater?
Calculate after-tax amount:
After tax amount = Sale Price * (1 + sales tax percent)
After tax amount = 32 * (1 + 0.04) <-- Since 4% = 0.04
After tax amount = 32 * (1.04)
After tax amount = $33.28
[B]Yes[/B], since $33.28 is less than or equal to $35, you have enough to buy the sweater.

A taxi cab in Chicago charges $3 per mile and $1 for every person. If the taxi cab ride for two peop

A taxi cab in Chicago charges $3 per mile and $1 for every person. If the taxi cab ride for two people costs $20. How far did the taxi cab travel.
Set up a cost function C(m) where m is the number of miles driven:
C(m) = cost per mile * m + per person fee
[U]Calculate per person fee:[/U]
per person fee = $1 per person * 2 people
per person fee = $2
[U]With a cost per mile of $3 and per person fee of $2, we have:[/U]
C(m) = cost per mile * m + per person fee
C(m) = 3m + 2
The problem asks for m when C(m) = 20, so we set 3m + 2 equal to 20:
3m + 2 = 20
To solve this equation for m, we [URL='https://www.mathcelebrity.com/1unk.php?num=3m%2B2%3D20&pl=Solve']plug it in our search engine[/URL] and we get:
m = [B]6[/B]

A taxi cab in nyc charges a pick up fee of $5.00 . The customer must also pay $2.59 for each mile th

A taxi cab in nyc charges a pick up fee of $5.00 . The customer must also pay $2.59 for each mile that the taxi must drive to reach their destination. Write an equation
Set up a cost function C(m) where m is the number of miles:
C(m) = Mileage Charge * m + pick up fee
[B]C(m) = 2.59m + 5[/B]

A taxi charges a flat rate of $1.50 with an additional charge of $0.80 per mile. Samantha wants to s

A taxi charges a flat rate of $1.50 with an additional charge of $0.80 per mile. Samantha wants to spend less than $12 on a ride. Which inequality can be used to find the distance Samantha can travel?
Set up the travel cost equation where m is the number of miles:
C(m) = 0.8m + 1.50
If Samantha wants to spend less than 12 per ride, we have an inequality where C(m) < 12:
[B]0.8m + 1.50 < 12[/B]

A taxi charges a flat rate of $1.50 with an additional charge of $0.80 per mile. Samantha wants to s

A taxi charges a flat rate of $1.50 with an additional charge of $0.80 per mile. Samantha wants to spend less than $12 on a ride. Which inequality can be used to find the distance Samantha can travel?
[LIST]
[*]Each ride will cost 1.50 + 0.8x where x is the number of miles per trip.
[*]This expression must be less than 12.
[/LIST]
[U]Setup the inequality:[/U]
1.5 + 0.8x < 12
[U]Subtracting 1.5 from each side of the inequality[/U]
0.8x < 10.5
[U]Simplifying even more by dividing each side of the inequality by 0.8, we have:[/U]
[B]x < 13.125[/B]

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel?
Set up a cost function C(m), where m is the number of miles:
C(m) = Cost per mile * m + flat rate
C(m) = 0.65m + 1.75
The problem asks for m when C(m) = 10
0.65m + 1.75 = 10
[URL='https://www.mathcelebrity.com/1unk.php?num=0.65m%2B1.75%3D10&pl=Solve']Typing this equation into the search engine[/URL], we get:
m = [B]12.692 miles[/B]

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most 10$ to

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most 10$ to spend on the cab ride, how far could she travel
Set up a cost function C(m), where m is the number of miles Erica can travel. We have:
C(m) = 0.65m + 1.75
If C(m) = 10, we have:
0.65m + 1.75 = 10
[URL='https://www.mathcelebrity.com/1unk.php?num=0.65m%2B1.75%3D10&pl=Solve']Typing this equation into our search engine[/URL], we get:
m = 12.69 miles
If the problem asks for complete miles, we round down to 12 miles.

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most 10$ to

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most 10$ to spend on the cab ride, how far could she travel?
Set up the cost function C(m) where m is the number of miles:
C(m) = 0.65m + 1.75
If Erica has $10, then C(m) = 10, so we have:
0.65m + 1.75 = 10
[URL='https://www.mathcelebrity.com/1unk.php?num=0.65m%2B1.75%3D10&pl=Solve']Typing this equation into the search engine[/URL], we get
m = 12.69
if the answer asks for whole number, then we round down to m = 12

A taxi charges a flat rate of 1.75, plus an additional 0.65 per mile. If Erica has at most 10 to spe

A taxi charges a flat rate of 1.75, plus an additional 0.65 per mile. If Erica has at most 10 to spend on the cab ride, how far could she travel?
Setup an equation where x is the number of miles traveled:
0.65x + 1.75 = 10
Subtract 1.75 from each side:
0.65x = 8.25
Divide each side by 0.65
[B]x = 12.69 miles[/B]
If we do full miles, we round down to 12.

A taxi service charges an initial fee of $3 plus $1.80 per mile. How far can you travel for $12?

A taxi service charges an initial fee of $3 plus $1.80 per mile. How far can you travel for $12?
Given m for miles, we have the equation:
1.80m + 3 = 12
We [URL='https://www.mathcelebrity.com/1unk.php?num=1.80m%2B3%3D12&pl=Solve']type this equation into our search engine[/URL] to solve for m and we get:
m = [B]5[/B]

A teacher who makes $54000 per year $8400 in taxes, and $1200 in union does what fraction of the tea

A teacher who makes $54000 per year $8400 in taxes, and $1200 in union does what fraction of the teacher’s income does she have left
Calculate Net Income:
Net income = Earnings - Taxes - Union Dues
Net income = 54000 - 8400 - 1200
Net income = 44,400
Net Income Percent = 100% * Net Income / Earnings
Net Income Percent = 100% * 44,400/54,000
Net Income Percent = 100% * 0.8222
Net Income Percent = [B]82.22%[/B]

A TV that usually sells for $192.94 is on sale for 15% off. If sales tax on the TV is 6%, what is th

A TV that usually sells for $192.94 is on sale for 15% off. If sales tax on the TV is 6%, what is the price of the TV, including tax?
Find the discounted price: 15% off of 192.94
Discounted Price = 192.94 * (1 - 0.15) <-- 15% as a decimal is 0.15, and 1 is 100%, so we subtract to get 85% of the original price
Discounted Price =192.94(0.85)
Discounted Price = $164
Now, add in the sales tax of 6% to the Discounted Price
Price after sales tax = Discounted Price * 1.06
Price after sales tax = $164 * 1.06
[B]Price after sales tax = $173.84[/B]

A woman whose income for the year was $42,800 paid $10,700 in taxes. What percent of her income did

A woman whose income for the year was $42,800 paid $10,700 in taxes. What percent of her income did she pay in taxes?
Tax Percent = Tax Amount / Income * 100%
Tax Percent = $10,700 / $42,800 * 100%
Tax Percent = 0.25 * 100%
Tax Percent = [B]25%[/B]

Aaron bought a guitar for n dollars. The tax in his state is 6%. What is the total cost of the guita

Aaron bought a guitar for n dollars. The tax in his state is 6%. What is the total cost of the guitar including tax?
Sale price is n
Tax on sale is 0.06n
Add them together
n + 0.06n = [B]1.06n[/B]

Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applie

Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional onetime untaxed fee of $5.00 is charged by the hotel. Which of the following represents Aaron’s total charge, in dollars, for staying [I]x[/I] nights?
[LIST]
[*]The Room cost equals 99.95 times x where x is the number of rooms
[*]We express an 8% tax by multiplying the room cost by 1.08
[*]Finally, we add on $5, which is [I]untaxed[/I]
[/LIST]
[I][/I]
Take this in pieces:
Room Cost: 99.95x
Tax on Room 1.08(99.95x)
Add on $5 which is untaxed: [B]1.08(99.95x) + 5[/B]

An item cost $370 before tax, and the sales tax is 25.90 what is the percentage?

An item cost $370 before tax, and the sales tax is 25.90 what is the percentage?
Sales Tax = Tax Amount/Original Bill
Sales Tax = 25.90/370
Sales Tax = 0.07
Multiply by 100 to convert to a percent, we have[B] 7%[/B]

An item costs $470 before tax, and the sales tax is $14.10. Find the sales tax rate. Write your answ

An item costs $470 before tax, and the sales tax is $14.10. Find the sales tax rate. Write your answer as a percentage.
Sales Tax Percent = 100% * Sales Tax / Before Tax Amount
Sales Tax Percent = 100% * 14.10 / 470
Sales Tax Percent = 100% * 0.03
Sales Tax Percent = [B]3%[/B]

Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a t

Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5 Ann paid a total of $49.10.
Set up the cost function C(m) where m is the number of miles:
C(m) = Mileage Rate x m + Tip
2.10m + 5 = 49.10
[URL='https://www.mathcelebrity.com/1unk.php?num=2.10m%2B5%3D49.10&pl=Solve']Type 2.10m + 5 = 49.10 into the search engine[/URL], and we get [B]m = 21[/B].

Brendan bought an aquarium originally priced at $50 but on sale for 50% off. After 12% sales tax, wh

Brendan bought an aquarium originally priced at $50 but on sale for 50% off. After 12% sales tax, what was the total cost?
50% off of 50 means they pay half, or 1/2(50) = 25.
Now, this gets taxed at 12%. So we multiply 25 * 1.12
Total Cost = 25(1.12)
Total Cost = [B]$28[/B]

Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum d

Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purchase so that after her store bucks and discount are applied, her total is no more than $60 before sales tax
Let the original price be p.
p
Apply 25% discount first, which is the same as subtracting 0.25:
p(1 - 0.25)
Subtract 30 for in store buck
p(1 - 0.25) - 30
The phrase [I]no more than[/I] means an inequality using less than or equal to:
p(1 - 0.25) - 30 <= 60
To solve this inequality for p, we [URL='https://www.mathcelebrity.com/1unk.php?num=p%281-0.25%29-30%3C%3D60&pl=Solve']type it in our math engine[/URL] and we get:
[B]p <= 120[/B]

Carol bought a pair of jeans for $12.95 and a belt for $3.79. The sales tax is $1.01. Carol gave the

Carol bought a pair of jeans for $12.95 and a belt for $3.79. The sales tax is $1.01. Carol gave the store clerk a $20.00 bill. How much change should she get back?
Calculate total cost:
Total cost = Jeans + Belt + Sales Tax
Total cost = $12.95 + $3.79 + $1.01
Total cost = $17.75
Calculate Change
Change = Carol's payment - Total cost
Change = $20 - $17.75
Change = [B]$2.25[/B]

Dan bought a computer in a state that has a sales tax rate of 7%. If he paid $67.20 sales tax, what

Dan bought a computer in a state that has a sales tax rate of 7%. If he paid $67.20 sales tax, what did the computer cost?
Set up the equation for price p:
p * 0.07 = 67.20
p = 67.20 / 0.07
p = [B]$960[/B]

Denise buys a soda for 90 cents, a candy bar for $1.20 and a bag of chips for $2.90. Assuming a 3.5

Denise buys a soda for 90 cents, a candy bar for $1.20 and a bag of chips for $2.90. Assuming a 3.5 percent sales tax, how much change would she receive from a $10 bill
1. Change = $10 - Total Bill
Total Bill = (Soda + Candy Bar + Bag of Chips) * 1.035
Total Bill = ($0.90 + $1.20 + $2.90) * 1.035
Total Bill = $5 * 1.035
2. Total Bill = $5.18
Plug Equation (2) into Equation (1), we have:
Change = $10 - $5.18
Change = [B]$4.82[/B]

Earnings Before Interest and Taxes (EBIT) and Net Income

Given inputs of sales, fixed costs, variable costs, depreciation, and taxes, this will determine EBIT and Net Income and Profit Margin

Emil bought a camera for $268.26, including tax. He made a down payment of $12.00 and paid the balan

Emil bought a camera for $268.26, including tax. He made a down payment of $12.00 and paid the balance in 6 equal monthly payments. What was Emil’s monthly payment for this camera?
Calculate remaining balance
268.26 - 12 = 256.26
Determine monthly payment:
256.26/6 = [B]21.36[/B]

final cost for a hair cut is 22.00 the tax is 2.00 what is the tax percentage

final cost for a hair cut is 22.00 the tax is 2.00 what is the tax percentage
Calculate Tax Percentage
Tax Percentage = 100% * Tax / Total Bill
Tax Percentage = 100% * 2/22
Tax Percentage = 100% * 1/11
Tax Percentage = [B]9.09%[/B]

Finance

1. Spend 8000 on a new machine. You think it will provide after tax cash inflows of 3500 per year for the next three years. The cost of funds is 8%. Find the NPV, IRR, and MIRR. Should you buy it?
2. Let the machine in number one be Machine A. An alternative is Machine B. It costs 8000 and will provide after tax cash inflows of 5000 per year for 2 years. It has the same risk as A. Should you buy A or B?
3. Spend 100000 on Machine C. You will need 5000 more in net working capital. C is three year MACRS. The cost of funds is 8% and the tax rate is 40%. C is expected to increase revenues by 45000 and costs by 7000 for each of the next three years. You think you can sell C for 10000 at the end of the three year period.
a. Find the year zero cash flow.
b. Find the depreciation for each year on the machine.
c. Find the depreciation tax shield for the three operating years.
d. What is the projects contribution to operations each year, ignoring depreciation effects?
e. What is the cash flow effect of selling the machine?
f. Find the total CF for each year.
g. Should you buy it?

Find the total coast of four nights lodging at $62.00 per night with 8 1/2% sales tax.

Find the total coast of four nights lodging at $62.00 per night with 8 1/2% sales tax.
[U]Calculate Total lodging cost[/U]
Total lodging cost = Nightly Rate * Number of Nights
Total lodging cost = 62 * 4
Total lodging cost = 248
[U]Calculate total bill with tax[/U]
Total bill with tax = Total bill * (1 + sales tax percent)
Total bill with tax = 248 * (1 + 0.85) <-- 8 1/2% = 0.085 as a decimal
Total bill with tax = 248 * 1.085
Total bill with tax =[B] $269.08[/B]

Francis paid 51.12 for his dinner including tax. The cost of his dinner is 48. What percent is the t

Francis paid 51.12 for his dinner including tax. The cost of his dinner is 48. What percent is the tax?
Answer: [B]6.5%[/B] using our [URL='http://www.mathcelebrity.com/tax.php?p=48&tb=51.12&pl=Calculate+Tax']sales tax calculator[/URL].

Hailey worked 32 hours at 8 dollars a hour .Taxes were 1% .How much money was left?

Hailey worked 32 hours at 8 dollars a hour .Taxes were 1% .How much money was left?
Calculate earnings:
Earnings = Hourly rate * hours worked
Earnings = 32 * 8
Earnings = 256
If taxes are 1%, then Hailey ends up with 100% - 1% = 99%
Leftover = 256 * 99%
Leftover = [B]$253.44[/B]

If sales tax is currently 8.2%, write an algebraic expression representing the amount of sales tax y

If sales tax is currently 8.2%, write an algebraic expression representing the amount of sales tax you would have to pay for an item that costs D dollars.
8.2% is 0.082 as a decimal. So we have:
Sales Tax Paid = [B]0.082D[/B]

Incremental Cash Flow

Given cash inflows, outflows, depreciable amounts, and tax rates, this determines the incremental cash flows.

Jay purchased tickets for a concert. To place the order, a handling charge of $7 per ticket was cha

Jay purchased tickets for a concert. To place the order, a handling charge of $7 per ticket was charged. A sales tax of 4% was also charged on the ticket price and the handling charges. If the total charge for four tickets was $407.68, what was the ticket price? Round to the nearest dollar.
with a ticket price of t, we have the total cost written as:
1.04 * (7*4 + 4t)= 407.68
Divide each side by 1.04
1.04 * (7*4 + 4t)/1.04= 407.68/1.04
Cancel the 1.04 on the left side and we get:
7*4 + 4t = 392
28 + 4t = 392
To solve this equation for t, we [URL='https://www.mathcelebrity.com/1unk.php?num=28%2B4t%3D392&pl=Solve']type it in our math engine[/URL] and we get:
t = [B]91[/B]

Jose bought a shirt for $25.00. The sales tax was 8%. If Jose paid with $40, what was his change?

Jose bought a shirt for $25.00. The sales tax was 8%. If Jose paid with $40, what was his change?
Total Bill is 25 * 1.08 = $27
Change due = 40 - 27 = $[B]13[/B]

Leo and Zach went to lunch at a cafe. They ordered a spinach salad for $6.55, a tuna sandwich for $4

Leo and Zach went to lunch at a cafe. They ordered a spinach salad for $6.55, a tuna sandwich for $4.75, and 2 glasses of lemonade for $0.85 each. The tax was $1.30. They gave the waiter $15.00. How much change should they have received?
Change = Cash - Total Bill - Tax
Change = $15 - ($6.55 + $4.75 + 2($0.85)) - $1.30
Change = $15 - ($6.55 + $4.75 + $1.70) - $1.30
Change = $15 - $13 - $1.30
Change = $15 - $14.30
Change = [B]$0.70 or 70 cents[/B]

Michelle and Natalie both went out to eat at a new restaurant. Michelle’s bill was $22.50, and she l

Michelle and Natalie both went out to eat at a new restaurant. Michelle’s bill was $22.50, and she left a 15% tip. Natalies bill was $24.25, and she left a 10% tip. Whose total bill was the greatest?
[U]Michelles's total bill:[/U]
Total Bill = Pre-Tax Bill * (1 + tax rate)
Since 15% = 0.15, we have:
Total Bill = 22.50 * 1.15
Total Bill = 25.88
[U]Natalie's total bill:[/U]
Total Bill = Pre-Tax Bill * (1 + tax rate)
Since 10% = 0.10, we have:
Total Bill = 24.25 * 1.10
Total Bill = 26.68
[B]Natalie's[/B] total bill was the greatest.

Profit Equation

Using the Profit Equation with inputs (Revenue-Cost-Profit-Tax), this determines the relevant output including gross proft, gross profit margin, net profit, and net profit margin.

Sales Tax

Given a sales price and a total bill, this calculates the sales tax amount and sales tax percentage

Sales tax is currently 9.1%. Write an algebraic expression to represent the total amount paid for an

Sales tax is currently 9.1%. Write an algebraic expression to represent the total amount paid for an item that costs d dollars after tax is added to the purchase.
We need to increase the price by 9.1%. Our expression is:
[B]1.091d[/B]

Sales tax is directly proportional to cost. If the sales tax on a 46000 automobile is $240, what is

Sales tax is directly proportional to cost. If the sales tax on a 46000 automobile is $240, what is the sales tax on a $9000 automobile?
Set up a proportion of sales tax to purchase price where s is the sales tax on a 9000 automobile:
240/46000 = s/9000
[URL='https://www.mathcelebrity.com/prop.php?num1=240&num2=s&den1=46000&den2=9000&propsign=%3D&pl=Calculate+missing+proportion+value']Typing this proportion into our search engine[/URL] and we get:
s = [B]46.96[/B]

Sales Tax Question

Cost of an item is $55 the total cost is $58.30 what is the sales tax rate and amount of tax ?
[URL='http://www.mathcelebrity.com/tax.php?p=55&tb=58.30&pl=Calculate+Tax']Answer[/URL]

The cost of a taxi ride is $1.2 for the first mile and $0.85 for each additional mile or part thereo

The cost of a taxi ride is $1.2 for the first mile and $0.85 for each additional mile or part thereof. Find the maximum distance we can ride if we have $20.75.
We set up the cost function C(m) where m is the number of miles:
C(m) = Cost per mile after first mile * m + Cost of first mile
C(m) = 0.8(m - 1) + 1.2
C(m) = 0.8m - 0.8 + 1.2
C(m) = 0.8m - 0.4
We want to know m when C(m) = 20.75
0.8m - 0.4 = 20.75
[URL='https://www.mathcelebrity.com/1unk.php?num=0.8m-0.4%3D20.75&pl=Solve']Typing this equation into our math engine[/URL], we get:
m = 26.4375
The maximum distance we can ride in full miles is [B]26 miles[/B]

The original price of a computer was $895.00. Eleanor had a 25% off coupon which she was able to us

The original price of a computer was $895.00. Eleanor had a 25% off coupon which she was able to use to make the purchase. If sales tax of 6.5% was added after the discount was taken, how much did Eleanor pay altogether for the computer?
First, apply the discount:
$895 * 25% = $223.75
$895 - $223.75 = $671.25
Now, apply sales tax of 6.5% to this discount price of $671.25
$671.25 * 1.065 = [B]$714.88[/B]

the price of a remote control helicopeter is $34.40. a remote control boat costs 4/5 the price of th

the price of a remote control helicopter is $34.40. a remote control boat costs 4/5 the price of the helicopter. sales tax on the remote control boat is 8%.what is the price of the remote control boat, including sales tax? round your answer to the nearest penny
4/5 of 34.40 = $27.52
Add sales tax:
27.52(1.08) = [B]$29.72[/B]

The property taxes on a boat were $375. What was the tax rate if the boat was valued at $75,000?

The property taxes on a boat were $375. What was the tax rate if the boat was valued at $75,000?
Tax Rate = Tax Amount / Purchase Price
Tax Rate = 375 / 75,000
Tax Rate = 0.005
Tax Rates are generally expressed in percentages, so the percentage = 0.005 * 100 = [B]0.5%[/B].

The property taxes on a business office were $960. What was the tax rate if the business office was

The property taxes on a business office were $960. What was the tax rate if the business office was valued at $80,000?
Tax Rate = 100% * Tax Amount / Office Value
Tax Rate = 100% * 960 / 80000
Tax Rate = 100% * 0.012
Tax Rate = [B]1.2%[/B]

The property taxes on a house were $810. What was the tax rate if the house was valued at $90,000

The property taxes on a house were $810. What was the tax rate if the house was valued at $90,000
Tax rate = Property Tax Amount/House Value
Tax rate = 810/90000
[B]Tax Rate = 0.009, or as a percentage, 0.9%[/B]

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5. If there were 4570 no votes, what was the total number of votes?
Set up a proportion where y is the number of yes votes to 4570 no votes
6/5 = y/4570
Using our [URL='http://www.mathcelebrity.com/prop.php?num1=6&num2=y&den1=5&den2=4570&propsign=%3D&pl=Calculate+missing+proportion+value']proportion calculator,[/URL] we get:
[B]y = 5484[/B]

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 3 . If there were 2958 no votes, what was the total number of votes?
Set up a ratio of yes to no votes
4/3 = x/2958
Using our [URL='http://www.mathcelebrity.com/prop.php?num1=4&num2=x&den1=3&den2=2958&propsign=%3D&pl=Calculate+missing+proportion+value']proportion calculator[/URL], we get x = 3,944 for yes votes.
Adding yes votes and no votes together to get total votes, we get:
Total Votes = Yes Votes + No Votes
Total Votes = 3,944 + 2,958
Total Votes = [B]6,902[/B]

The sales price s of a pair of shoes plus 4% sales tax

The sales price s of a pair of shoes plus 4% sales tax
Total price is s(1 + 0.04) or [B]s(1.04)[/B]

The sales tax for an item was $21.50 and it cost $430 before tax. Find the sales tax rate. Write you

The sales tax for an item was $21.50 and it cost $430 before tax. Find the sales tax rate. Write your answer as a percentage.
Sales tax percentage is:
21.50/430 = 0.05
To get a percentage, multiply the decimal by 100
0.05 * 100 = [B]5%[/B]

The sales tax on a computer was $33.60. If the sales tax rate is 7%, how much did the computer cost

The sales tax on a computer was $33.60. If the sales tax rate is 7%, how much did the computer cost without tax?
Let the cost of the computer be c. We have:
0.07c = 33.60
Solve for [I]c[/I] in the equation 0.07c = 33.60
[SIZE=5][B]Step 1: Divide each side of the equation by 0.07[/B][/SIZE]
0.07c/0.07 = 33.60/0.07
c = $[B]480[/B]
[URL='https://www.mathcelebrity.com/1unk.php?num=0.07c%3D33.60&pl=Solve']Source[/URL]

The sales tax rate in a city is 7.27%. How much sales tax is charged on a purchase of 5 headphones

The sales tax rate in a city is 7.27%. How much sales tax is charged on a purchase of 5 headphones at $47.44 each? What is the total price?
[U]First, calculate the pre-tax price:[/U]
Pre-tax price = Price per headphone * Number of Headphones
Pre-tax price = $47.44 * 5
Pre-tax price = $237.20
Now calculate the tax amount:
Tax Amount = Pre-Tax Price * (Tax Rate / 100)
Tax Amount = $237.20 * 7.27/100
Tax Amount = $237.20 * 0.0727
Tax Amount = [B]$17.24
[/B]
Calculate the total price:
Total Price = Pre-Tax price + Tax Amount
Total Price = $237.20 + $17.24
Total Price = [B]$254.44[/B]

The tax in a state is 5%. If Eric paid $4.60 tax for a bike, what was the cost of the bike before sa

The tax in a state is 5%. If Eric paid $4.60 tax for a bike, what was the cost of the bike before sales tax was added?
4.60 / 0.05 = [B]$92[/B]

The tax on 1 dollar is 7 cents. What is the tax on 5 dollars?

The tax on 1 dollar is 7 cents. What is the tax on 5 dollars?
Two ways you can do this:
[LIST=1]
[*]Every 1 dollar has 7 cents, so every 5 dollars has (1 * 5) = (7 * 5) = [B]35 cents[/B]
[*]7 cents is 7% of 1 dollar. So 7% of 5 dollars is [B]35 cents[/B]
[/LIST]

There is a sales tax of $15 on an item that costs $153 before tax. A second item costs $81.60 before

There is a sales tax of $15 on an item that costs $153 before tax. A second item costs $81.60 before tax. What is the sales tax on the second item?
We assume the goods are bought in the same store, so tax rates are the same:
Tax Rate = Tax Amount / Cost before tax
Tax Rate = 15/153
Tax Rate = 0.098 or 9.8%
Calculate sales tax on the second item
Sales Tax = Cost before Tax * Tax Rate
Sales Tax = 81.60 * 0.098
Sales Tax = 7.9968
We round to 2 decimals for dollars and cents and we get:
Sales Tax = [B]$8.00[/B]

There is a sales tax of $4 on an item that cost $54 before tax. The sales tax on a second item is $1

There is a sales tax of $4 on an item that cost $54 before tax. The sales tax on a second item is $14. How much does the second item cost before tax?
Sales Tax on First Item = Tax Amount / Before Tax Sale Amount
Sales Tax on First Item = 4/54
Sales Tax on First Item = 0.07407407407
For the second item, let the before tax sale amount be b. We have:
0.07407407407b = 14
To solve this equation for b, we [URL='https://www.mathcelebrity.com/1unk.php?num=0.07407407407b%3D14&pl=Solve']type it in our search engine[/URL] and we get:
b = [B]189[/B]

There is a sales tax of $5 on an item that costs $51 before tax. A second item costs $173.40 before

There is a sales tax of $5 on an item that costs $51 before tax. A second item costs $173.40 before tax. What is the sales tax on the second item?
Calculate the sales tax percent using the first item:
Sales Tax Decimal = 100% * Sales Tax / Pre-Tax Bill
Sales Tax Decimal = 100% * 5/51
Sales Tax Decimal = 0.098
Calculate the sales tax on the second item:
Sales Tax = Pre-Tax bill * (1 + Sales Tax)
Sales Tax = $173.40 (1 + 0.098)
Sales Taax = $173.40 * 1.098
Sales Tax = [B]$190.39[/B]

Winnie earns an annual salary of $55,117. If she pays $3,715 a year in taxes and receives a paycheck

Winnie earns an annual salary of $55,117. If she pays $3,715 a year in taxes and receives a paycheck every other week, how much does Winnie receive from each paycheck?
Subtract the taxes to get Winnie's Total net pay:
Total Net Pay = Annual Salary - Annual Taxes
Total Net Pay =$55,117 - $3,715
Total Net Pay = $51,402
Now, if Winnie gets paid every other week, and there are 52 weeks in a year, then she gets paid 26 times.
Calculate single paycheck amount
Single Paycheck Amount = Total Net Pay / 26 payments
Single Paycheck Amount = $51,402 / 26
Single Paycheck Amount = [B]$1,977[/B]

You buy a container of cat litter for $12.25 and a bag of cat food for x dollars. The total purchase

You buy a container of cat litter for $12.25 and a bag of cat food for x dollars. The total purchase is $19.08, which includes 6% sales tax. Write and solve an equation to find the cost of the cat food.
Our purchase includes at cat litter and cat food. Adding those together, we're given:
12.25 + x = 19.08
To solve for x, [URL='https://www.mathcelebrity.com/1unk.php?num=12.25%2Bx%3D19.08&pl=Solve']we type this equation into our search engine[/URL], and we get:
x = 6.83
Since the cat food includes sales tax, we need to remove the sales tax of 6% to get the original purchase price.
Original purchase price = After tax price / (1 + tax rate)
Original purchase price = 6.83/1.06
Original purchase price = [B]$6.44[/B]

You go to your favorite restaurant. The bill for the food is $74.26. The tax on the bill will be 9%.

You go to your favorite restaurant. The bill for the food is $74.26. The tax on the bill will be 9%. You are planning on giving a tip on that total amount (bill and tax together) of 20%. What is your final bill, all taxes and tips included?
[U]Calculate the after tax amount:[/U]
After tax amount = Bill * (1 + Tax Rate)
Since 9% = 0.09, we have:
After tax amount = 74.26 * (1 + 0.09)
After tax amount = 74.26 * 1.09
After tax amount = 80.94
[U]Calculate the Tip amount:[/U]
Tip amount = After tax amount * tip percent
Since 20% = 0.2, we have:
Tip amount = 80.94 * 0.20
Tip amount = 16.19
[U]Calculate the final bill:[/U]
Final Bill = After Tax Amount + Tip Amount
Final Bill = 80.94 + 16.19
Final Bill = [B]97.13[/B]

You have $20 to spend on a taxi fare. The ride costs $5 plus $2.50 per kilometer.

You have $20 to spend on a taxi fare. The ride costs $5 plus $2.50 per kilometer.
Let k be the number of kilometers.
Total Cost = Cost per kilometer * number of kilometers + Fixed Cost
With k for kilometers, 2.5 as cost per kilometer, and 5 as fixed cost, and 20 on total cost, we have:
2.5k + 5 = 20
To solve this equation for k, we [URL='https://www.mathcelebrity.com/1unk.php?num=2.5k%2B5%3D20&pl=Solve']type it in our math engine [/URL]and we get
k = [B]6[/B]

You have $20 to spend on taxi fare. The ride costs $5 plus $2.50 per kilometer. Write the inequality

You have $20 to spend on taxi fare. The ride costs $5 plus $2.50 per kilometer. Write the inequality.
Let k be the number of kilometers. We want our total to be $20 [I]or less. [/I]We have the following inequality:
[B]2.50k + 5 <= 20[/B]

You have saved $50 over the last two weeks and decide to treat yourself by buying some new clothes.

You have saved $50 over the last two weeks and decide to treat yourself by buying some new clothes. You go to the store and find two shirts and three pairs of jeans you like. The two shirts are buy-one-get-one half off, at $22.35 each. The three pairs of jeans are buy-two-get-one-free, at $23.70.
Tax Rate for Harmonized Sales Tax is 13%
a. What would be the total for the two shirts (don’t forget to include taxes)?
b. What would be the total for the three pairs of jeans (don’t forget to include taxes)?
c. Which would you buy and why?
a. Half of 22.35 is 11.18
So two shirts cost:
22.35 + 11.18 = 33.53
Cost with Tax of 13% is:
33.53 * 1.13 = [B]37.89
[/B]
b. Three pairs of jeans are calculated by cost of 1 pair times 2 jeans and you get the third one free:
23.70 * 2 = 47.40
Cost with Tax of 13% is:
47.40 * 1.13 = [B]53.56
[/B]
c. Calculate unit cost, which is cost per item
Unit cost of Shirts = 37.89 / 2 = [B]18.95[/B]
Unit cost of Jeans = 53.56 / 3 = [B]17.85
Buy the jeans since they have a lower unit cost[/B]

Your bill for dinner, including a 7.25% sales tax, was $49.95. You want to leave a 15% tip on the co

Your bill for dinner, including a 7.25% sales tax, was $49.95. You want to leave a 15% tip on the cost of the dinner before the sales tax. Find the amount of the tip to the nearest dollar.
Find the pretax cost:
49.95/1.0725 = 46.57
Now, add 15% tip to the pretax bill:
46.57(1.15) = [B]$53.56[/B]