property - an attribute, quality, or characteristic of something

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 b = b a is an example of the property called

A b = b a is an example of the property called the [B]commutative property of multiplication[/B].

A property sold for $198,000 with a listing commission of 8%. The selling office is to receive 40% o

A property sold for $198,000 with a listing commission of 8%. The selling office is to receive 40% of the total commission. How much will the listing salesperson receive if she is paid 60% of the amount retained by listed broker.
[U]Calculate commission amount:[/U]
Commission amount = Sale Price * Commission Percent
Commission amount = 198,000 * 8%
[URL='https://www.mathcelebrity.com/perc.php?num=+5&den=+8&num1=+16&pct1=+80&pct2=8&den1=198000&pcheck=3&pct=+82&decimal=+65.236&astart=+12&aend=+20&wp1=20&wp2=30&pl=Calculate']Commission amount [/URL]= 15,840
[U]Calculate listing salesperson commission amount:[/U]
Listing salesperson commission amount = Commission Amount * Listing salesperson Percent
Listing salesperson commission amount = 15,840 * 60%
[URL='https://www.mathcelebrity.com/perc.php?num=+5&den=+8&num1=+16&pct1=+80&pct2=60&den1=15840&pcheck=3&pct=+82&decimal=+65.236&astart=+12&aend=+20&wp1=20&wp2=30&pl=Calculate']Listing salesperson commission amount[/URL] = [B]9,504[/B]

A real estate agency receives 3.5% commission on the first $100,000 of a sale and 2.25% on the remai

A real estate agency receives 3.5% commission on the first $100,000 of a sale and 2.25% on the remainder. How much commission is received on the sale of a $450,000 property?
Calculate commission on first $100,000 (Commission 1):
Commission 1 = $100,000 * 0.035
Commission 1 = $3,500
Calculate commission on the remainder (Commission 2):
Commission 2 = 0.025 * ($450,000 - $100,000)
Commission 2 = 0.025 * ($350,000)
Commission 2 = $8,750
Calculate Total Commission:
Total Commission = Commission 1 + Commission 2
Total Commission = $3,500 + $8,750
Total Commission = [B]$12,250[/B]

A=2(l+w) for w

Multiply through using the distributive property, so we have:
A = 2l + 2w
Subtract 2l from each side
2w = A - 2l
Divide each side by w
w = (A - 2l)/2

Add 5 and 6 and then multiply by 3

Add 5 and 6 and then multiply by 3
Add 5 and 6:
(5 + 6)
Then multiply by 3:
[B]3(5 + 6)
[/B]
If you want to evaluate this term, then we [URL='https://www.mathcelebrity.com/distributive-property.php?a=3&b=5&c=6&pl=Distributive']type it into the math engine[/URL] and we get:
[B]33[/B]

Add 8 and 7, and then multiply by 2.

Add 8 and 7, and then multiply by 2.
Add 8 and 7:
8 + 7
Then multiply by 2:
2(8 + 7)
If you want to evaluate this order of operations, then [URL='https://www.mathcelebrity.com/distributive-property.php?a=2&b=8&c=7&pl=Distributive']type it in our search engine[/URL] to get:
[B]30[/B]

Addition Equality Property

Demonstrates the Addition Equality Property
Numerical Properties

Addition Property Of Inequality

Demonstrates the Addition Property Of Inequality.
Numerical Properties

Additive Identity Property

Displays the line by line proof for the additive identity property
Numerical Properties

Additive Inverse Property

Demonstrates the Additive Inverse property using a number. A + (-A) = 0
Numerical Properties

All squares are rectangles and all rectangles are parallelograms, therefore all squares are parallel

All squares are rectangles and all rectangles are parallelograms, therefore all squares are parallelograms. Is this true?
[B]Yes.[/B]
This is similar to A implies B and B implies C so A implies C also known as transitive property

Associative Property

Demonstrates the associative property using 3 numbers. Covers the Associative Property of Addition and Associative Property of Multiplication. Also known as the Associative Law of Addition and Associative Law of Multiplication
Numerical Properties

Commutative Property

Demonstrates the commutative property of addition and the commutative property of multiplication using 3 numbers.
Numerical Properties

Determine whether the statement is true or false. If 0 < a < b, then Ln a < Ln b

Determine whether the statement is true or false. If 0 < a < b, then Ln a < Ln b
We have a logarithmic property that states:
ln(a) - ln(b) = ln (a / b)
We're given a < b, so (a / b) < 1
Therefore:
ln (a / b) < 0
And since ln(a) - ln(b) = ln (a / b)
Then Ln(a) - Ln(b) < 0
So this is [B]TRUE[/B]

Distributive Property

Demonstrates the distributive property using 3 numbers.
Numerical Properties

Division Equality Property Calculator

Demonstrates the Division Equality Property Calculator
Numerical Properties

Division Property Of Inequality

Demonstrates the Division Property Of Inequality
Numerical Properties

Fraction Cancellation Property

Demonstrates the Fraction Cancellation Property also known as Cancellation Property of Fractions
Numerical Properties

Given: BC = EF AC = EG AB = 10 BC = 3 Prove FG = 10

Given: BC = EF
AC = EG
AB = 10
BC = 3
Prove FG = 10
[LIST]
[*]AC = AB + BC (Segment Addition Postulate)
[*]AB = 10, BC = 3 (Given)
[*]AC = 10 + 3 (Substitution Property of Equality)
[*]AC = 13 (Simplify)
[*]AC = EG, BC = EF (Given)
[*]EG = 13, EF = 3 (Segment Equivalence)
[*]EG = EF + FG (Segment Addition Postulate)
[*]13 = 3 + FG (Substitution Property of Equality)
[*]FG = 10 (Subtraction Property)
[/LIST]

Greatest Common Factor and Least Common Multiple

Given 2 or 3 numbers, the calculator determines the following:

* Greatest Common Factor (GCF) using Factor Pairs

* Rewrite Sum using the Distributive Property and factoring out the GCF

* Least Common Multiple (LCM) / Least Common Denominator (LCD) using Factor Pairs

* GCF using the method of Successive Division

* GCF using the Prime Factorization method

* Determine if the numbers are coprime and twin prime

* Greatest Common Factor (GCF) using Factor Pairs

* Rewrite Sum using the Distributive Property and factoring out the GCF

* Least Common Multiple (LCM) / Least Common Denominator (LCD) using Factor Pairs

* GCF using the method of Successive Division

* GCF using the Prime Factorization method

* Determine if the numbers are coprime and twin prime

M is the midpoint of AB. Prove AB=2AM

M is the midpoint of AB. Prove AB=2AM
M is the midpoint of AB (Given)
AM = MB (Definition of Congruent Segments)
AM + MB = AB (Segment Addition Postulate)
AM + AM = AB (Substitution Property of Equality)
2AM = AB (Distributive property)

Multiplication Equality Property

Demonstrates the Multiplication Equality Property
Numerical Properties

Multiplication Property Of Inequality

Demonstrates the Multiplication Property Of Inequality
Numerical Properties

Multiplicative Identity Property

Demonstrates the Multiplicative Identity property using a number.
Numerical Properties

Multiplicative Inverse Property

Demonstrates the Multiplicative Inverse property using a number.
Numerical Properties

Name the property shown. 6 + 5 + 84 = 84 + 5 + 6

Name the property shown. 6 + 5 + 84 = 84 + 5 + 6
[B]
Commutative property of addition[/B]

rectangle abcd prove: triangle adc is congruent to triangle bcd

rectangle abcd prove: triangle adc is congruent to triangle bcd
1. Given: ABCD is a rectangle
2. AB = CD since opposite sides of rectangle are congruent
3. BC = AD since opposite sides of rectangle are congruent
4. AC = AC by the Reflexive Property of Equality
5. triangle ADC = triangle CBA by the Side-Side-Side (SSS) Property

Reflexive Property

Demonstrates the reflexive property of congruence using a number.
Numerical Properties

Subtraction Equality Property

Demonstrates the Subtraction Equality Property
Numerical Properties

Subtraction Property Of Inequality

Demonstrates the Subtraction Property Of Inequality
Numerical Properties

Symmetric Property

Demonstrates the Symmetric property using a number.
Numerical Properties

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]

Transitive Property of Equality

Demonstrates the Transitive property of equality using a number.
Numerical Properties

Trichotomy Property

Demonstrates the Trichotomy Property with 2 numbers.
Numerical Properties

Which of the following involves making pairwise comparisons? a. Comparing the standard deviation of

Which of the following involves making pairwise comparisons?
a. Comparing the standard deviation of GRE grades between two states
b. Comparing the variance of the amount of soda consumed by boys and girls in a high school
c. Comparing the mean weight between children in grades 2, 3, 4 and 5
d. Comparing the number of restaurants in New York and Boston
[B]c. Comparing the mean weight between children in grades 2, 3, 4 and 5[/B]
Pairwise comparison generally refers to any process of comparing entities in pairs to judge which of each entity is preferred, or has a greater amount of some quantitative property

Zero Multiplication Property

Demonstrates the Zero Multiplication property using a number. Also called the Zero Product Property.
Numerical Properties