A person has $13,000 invested in stock A and stock B. Stock A currently sells for $20 a share and stock B sells for $90 a share. If stock B triples in value and stock A goes up 50%, his stock will be worth $33,000. How many shares of each stock does he own? Set up the given equations, where A is the number of shares for Stock A, and B is the number of shares for Stock B [LIST=1] [*]90A + 20B = 13000 [*]3(90A) + 1.5(20B) = 33000 <-- [I]Triple means multiply by 3, and 50% gain means multiply by 1.5[/I] [/LIST] Rewrite (2) by multiplying through: 270A + 30B = 33000 Using our simultaneous equations calculator, we get [B]A = 100 and B = 200[/B]. Click the links below to solve using each method: [LIST] [*][URL='https://www.mathcelebrity.com/simultaneous-equations.php?term1=90A+%2B+20B+%3D+13000&term2=270A+%2B+30B+%3D+33000&pl=Substitution']Substitution Method[/URL] [*][URL='https://www.mathcelebrity.com/simultaneous-equations.php?term1=90A+%2B+20B+%3D+13000&term2=270A+%2B+30B+%3D+33000&pl=Elimination']Elimination Method[/URL] [*][URL='https://www.mathcelebrity.com/simultaneous-equations.php?term1=90A+%2B+20B+%3D+13000&term2=270A+%2B+30B+%3D+33000&pl=Cramers+Method']Cramers Method[/URL] [/LIST] Check our work using equation (1) 90(100) + 20(200) ? 13,000 9000 + 4000 ? 13,000 13000 = 13000

A person invested 30,000 in stocks and bonds. Her investment in bonds is 2000 more than 1-third her investments in stocks. How much did she invest in stocks? How much did she invest in bonds? Let the stock investment be s, and the bond investment be b. We're given: [LIST=1] [*]b + s = 30000 [*]b = 1/3s + 2000 [/LIST] Plug in (2) to (1): 1/3s + 2000 + s = 30000 Group like terms: (1/3 + 1)s + 2000 = 30000 Since 1 = 3/3, we have: 4/3s + 2000 = 30000 Subtract 2000 from each side: 4/3s + 2000 - 2000 = 30000 - 2000 Cancel the 2000's on the left side, we get: 4/3s = 28000 [URL='https://www.mathcelebrity.com/1unk.php?num=4%2F3s%3D28000&pl=Solve']Typing this equation into our calculator[/URL], we get: s = [B]21,000[/B]

a shop has a sale of 1/5 off all items in stock. if the original price of a dress is £45, what would be its sale price? [URL='https://www.mathcelebrity.com/fraction.php?frac1=45&frac2=1/5&pl=Multiply']1/5 of 45[/URL] = 9 45 - 9 = [B]36[/B]

Jason decided that he will sell his stocks if their values per share (x) goes below $5 or above $15. Write a compound inequality represents the values at which Jason will sell his stocks? Below $5 is also known as less than $5: x < 5 Above $15 is also known as greater than $15 x > 15 We write the compound inequality: [B]x < 5 U x > 15[/B]

Free Binomial Option Pricing Model Calculator - This shows all 2^t scenarios for a stock option price on a binomial tree using (u) as an uptick percentage and (d) as a downtick percentage

Free Black-Scholes Calculator - Calculates the call or put option value of a stock based on inputs related to the option using Black Scholes method.

Can you solve this word problem? The Wildgrove Middle School cafeteria goes through a lot of peanut butter. Currently, they have 120 ounces of regular peanut butter in stock. They also have 319 ounces of crunchy peanut butter. How many ounces do they have in total? [U]Calculate Total Peanut Butter Ounces[/U] Total Peanut Butter Ounces = Regular Peanut Butter Ounces + Crunch Peanut Butter Ounces Total Peanut Butter Ounces = 120 + 319 Total Peanut Butter Ounces = [B]439 ounces[/B]

Ed invests $5,500 into the stock market which earns 2% per year. In 20 years, how much will Ed's investment be worth if interest is compounded monthly? Round to the nearest dollar. 20 years * 12 months per year = 240 months Using our [URL='https://www.mathcelebrity.com/compoundint.php?bal=5550&nval=240&int=2&pl=Monthly']compound interest calculator[/URL], we get: [B]8,276.87[/B]

Jessie invests $3345 in the stock market. Over the 3 years she has this invested she gets an average return of 7.8%. How much will her investment be worth after the 3 years? 7.8% = 0.078, so we use our compound interest formula to find our balance after 3 years. Using our [URL='https://www.mathcelebrity.com/compoundint.php?bal=3345&nval=3+&int=7.8&pl=Annually']compound interest balance calculator[/URL], we get: [B]$4,190.37[/B]

Free Rates of Return Calculator - Given a set of stock prices and dividends if applicable, this calculates the periodic rate of return and the logarithmic rate of return

Free Short Sale Yield Rate Calculator - Calculates the Yield Rate on a short sale of stock.

Stock A is worth 4.5. Stock B is worth 8.0. Stock C is worth 10.0. She purchased half as many shares of B as A and half as many shares of C as B. If her investments are worth 660, how many shares of each stock does she own? Let s be the number of shares in Stock A. We have: [LIST=1] [*]A: 4.5s [*]B: 8s/2 = 4s [*]C: 10s/4 = 2.5s [/LIST] Value equation: 4.5s + 4s + 2.5s = 660 Combining like terms: 11s = 660 Using the [URL='http://www.mathcelebrity.com/1unk.php?num=11s%3D660&pl=Solve']equation calculator[/URL], we get [B]s = 60[/B] for Stock A Stock B shares is equal to 1/2A = [B]30[/B] Stock C shares is equal to 1/2B = [B]15[/B]

Sue has $25,000 to invest. She deposits some in stocks and the rest in annuities. If the stocks are at a rate of 6% and the annuities are at a rate of 3% and Sue wants to earn $1200 by the end of the year, find how much Sue deposited into each. Using our [URL='https://www.mathcelebrity.com/split-fund-interest-calculator.php?p=25000&i1=6&i2=3&itot=1200&pl=Calculate']split fund interest calculator[/URL], we get: [LIST] [*][B]15,000 in stocks[/B] [*][B]10,000 in annuities[/B] [/LIST]

The value of a stock begins at $0.07 and increases by $0.02 each month. Enter an equation representing the value of the stock v in any month m. Set up our equation v(m): [B]v(m) = 0.07 + 0.02m[/B]

Free Volatility Calculator - Given a set of stock prices, this determines expected rates of return and volatility

You open a hat stand in the mall with an initial start-up cost of $1500 plus 50 cents for every hat you stock your booth with. a) What is your cost function? Set up the cost function C(h) where h is the number of hats you stock: C(h) = Cost per hat * h hats + Start Up Cost [B]C(h) = 0.5h + 1500[/B]