Questions on Word Problems: Money, Business and Interest answered by real tutors!

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Question 517149: Joan saved $21,000 in two banks. One bank gives 4 3/5% annual interest, and the other gives 5 1/2% annual interest. How much did she save in each bank if she received a combined annual interest rate of 5% on her savings?
where to even begin?

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Question 517158: A copy machine makes 36 copies per minute. How long does it take to make 198 copies?
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Question 517192: Bruce invested in stock paying 10.5% dividend. Maya invested $4000 more than Bruce in tax-free bonds payin 7.5% annual simple interest. If Maya's income from investment is $75 more than Bruce's, find how much money each invested
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Question 517266: yo mama
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Question 517397: A beer-bottling company ordered 2100 more 12-ounce bottles than 1-quart bottles. The cost of the 12-ounce bottles was $.08 each, and the cost of the 1-quart bottles was $.11 each. The total cost was $310.50 not including shipping. Find the number of each type of bottle ordered.
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Question 517629: A total of $1200 is invested, partly at 3% and the rest at 5%.Find the amounts invested at each rate if the total interest is $ 54

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Question 517806: Such a deal: A 50 cent rebate is available on a 4-oz jar of instant coffee, and the 2.5oz jar sells for $3.00. At what price would the larger jar be more economical?
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Question 517851: I'm having trouble solving this word problem:
The cost of producing a plastic toy is given by the function C(x)=2x+35, where as x is the number of hundreds of toys. The revenue from toy sales is given by R(x)=-x²+122x-400. Since profit = revenue - cost, find the profit function P(x). Use this function to find the number of toys sold to produce a maximum profit. What is the maximum profit?
Now I know that I need to use R(x)-C(x)=P(x) which ends up being -x²+120x-435=P(x) I think but I'm not sure how to do the rest

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Question 517923: if 4 quarters equal one dollar, how many quarters equal 4726 dollars?

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Question 517907: In my question for math it saids wrte a coin problem that has an answer of 21 quarters and 24 dimes. Then I have to write a system of equations for it..I'm not really sure what to do...I need help
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Question 518126: How much interest is earned in 2 years on $4000 deposited in an account thats pays 6% interest, compounded quarterly?
I've come close to the answer but haven't reached the correct one.
It would help to be shown a step by step process! Thank you!

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Question 518341: At the central Perk coffee shop, Destiny sold 30 more cups of cappuccino than expresso, for a total of 178.50 worth of expresso and cappuccino. How many cups of each were sold if expresso cost 2.00 per cup and cappuccino cost 2.50 per cup?
Click here to see answer by richwmiller(17219) About Me 

Question 518367: Hi i just have three problems for my homework. could you please help me?
1.) A group of people would like to buy a vacation cabin for $600,000 sharing the cost equally. If they could find 5 more people to join them, each person's share would be reduced by $6000. How many people are in the group?
2.) Write an equation in general form for the line passing through (-7,-10) and parallel to the line whose equation is 4x+2y-5=0
3.) A person standing on the roof of a building and throw a ball directly upward. The ball misses the rooftop on its way down and eventually strikes the ground. The function S(t)=-16t2+64t+80 descrobes the ball's height above the ground, S(t) in feet. T seconds after it was thrown

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Question 518389: If you had $8,400 placed in an account that earned 5 ½ percent interest, paid just once a year, how much money would be in the account at the end of four years, assuming you made no withdrawals of any kind from the account?
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Question 518364: I am reviewing a chapter and am stuck on the following question.
The cost of a new car included a 4.5% sales tax. If c represents the cost before tax, write an expressions for the total cost, including the sales tax.

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Question 518727: Selena wants to invest a portion of her $16000 savings at 8% annual interest, and the balance at a safer 5% annual interest. She hopes to earn $1130 in the next year to pay for a Caribbean Cruise. How much money should she invest at 8%?
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Question 518901: Mr.Euveja has a total amount of 25,000.He invested this in 2 funds {(Bank A paying 6%)&(Bank B paying 8%) both as annual interest. The combined annual interest is 1,800.
HOW MUCH OF THE 25,000 IS INVESTED INEACH FUND???

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Question 518892: Interest in the amount of $1785 is earned in accounts bearing 6.5% and 7.5% simple interest. If the total amount invested was %25,000, how much was invested in the account bearing 6.5%?
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Question 519065: Molly wanted to make an offer on a new car with a sticker price of $12,305. If the dealer’s margin of profit was 16% and Molly wanted to offer $500 more than the base price, calculate the amount of her offer to the nearest dollar.
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Question 519354: http://www.algebra.com/tutors/students/ask.mpl
How long will it take a $500 investment to be worth $700 if it is coninuously compounded at 10% per year?

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Question 519308: Model: Subcompact
Cash price: $4,990
Down payment: $1,500
Number of payments: 36
Monthly payment: $109.94
Finance charge: __________

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Question 519460: A woman paid $21.56 (including sales tax) for a book that was marked 20% off. The sales tax was 8%. What was the cover price of the book?
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Question 519507: What equation do I use to solve...Part of $5,000 was invested at 6% annual interest and the rest at 8%. Last year's interest was $350. How much was invested at 8%
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Question 519643: What is the equation for... Ginger has five more quarters than dimes. She has $5.10 in change. If she has only quarters and dimes, how many coins of each type does she have?
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Question 519671: A total of $15,000 is invested in two corporate bonds that pay 5% and 7% simple annual interest. The investor wants to earn $880 in interest per year from the bonds. How much should be invested in each bond?
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Question 519892: A chills bank contains 70 coins( dimes and nickels that value $5.55) how many of each coin
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Question 519966: ralph chase plans to sell a piece of property for $180,000. He wants the money to be paid off in two ways- a short term note at 9% interest and a long term at 7% interest. find the amount of each note if the total annual interest paid is $14,600.
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Question 519923: You take out a 4-year, $5,000 loan at 10% simple annual interest. The lender charges you a $200 fee. Thinking of the fee as additional interest, what is the actual annual interest rate r you will pay?

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Question 519963: ralph chase plans to sell a piece of property for $180,000. He wants the money to be paid off in two ways- a short term note at 9% interest and a long term at 7% interest. find the amount of each note if the total annual interest paid is $14,600.
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Question 520028: Peanuts sell for 80.00 per kilogram and corn for 32.00 per kg. how many kg. of each should be mixed to form 150 kg of a mixture that can sell for 40.00 per kg.?
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Question 520138: A student takes out two loans, one at 5% interest and the other at 6% interest. The 5% loan is $1000 more than the 6% loan, and the total interest for 1 year is $215. How much is each loan?
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Question 520137: Bernadette inherited $15,000 and invested it in two municipal bonds, which pay 7 percent and 9 percent simple interest. the annual interest is $1230. Find the amount at each rate.
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Question 520449: if you deposit 15,000 in a bank account that pays 12% interest anually, how much will be in your account in 6 years?

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Question 520514: Leroy invests $9,500 at 16% simple interest. About how much interest will he earn in 8 months?
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Question 520624: If monthly interest was $400. and the Rate is 8.5%. What was the principle balance at the beginning of that month?
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Question 520618: A dealer bought some radios for a total of $1,080. She gave away 9 radios as gifts, sold the rest for $10 more than she paid for each radio, and broke even. How many radios did she buy?
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Question 520695: A businessman borrowed from two moneylenders a sum of rs 2000.for 1 loan the rate of simple interest was 8% Pa and the other was 6 % pa he paid total interest of rs 136 for one year .find the sum borrowed on each rate by him ?
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Question 520839: Joan Roe borrowed $85,000 at a rate of 11 3/4 percent. The date of the loan was July 8. Joan is to repay the loan on Sept. 14. Assuming the loan is based on exact interest, the interest Joan will pay on Sept. 14 is?
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Question 520863: A motorboat traveled 36 miles downstream, with the current, in 1.5 hours. The return trip upstream against the current, covered the same distance, but took two hours. Find the boats rate in still water and the rate of the current.
I tried to figure this problem out, but had trouble making it into an equation. What would X and Y stand for in this case?

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Question 521100: Peggy paid $51.30 for 2 boxes of chocolate, 6 roses, and 3 greeting cards. Joe paid $72.05 for 3 boxes of chocolate, 12 roses, and 2 greeting cards. If 1 greeting card costs the same as 2 roses, how much does a box of chocolate cost?
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Question 521270: The sum of money is shared among three friends, Ann, Beryl and Candy in ratio 2:3:8. If beryl received $225 more than Ann, find the sum of money shared.
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Question 521306: How long will it take an investment of $1,000 to double if the investment earns interest at the rate of 9%/year compounded monthly?
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Question 521567: Rita bought a pair of jeans for $89. The sales-tax rate is 11 percent. What is the total amount she paid for the jeans?
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