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

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Question 1143549: The profit that the vendor makes per day by selling x Pretzels is given by the function P(x)=-0.002x^2 + 1.6x -400. Find the number of Pretzels that must be sold to maximize profit.
Thank you

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Question 1143575: Mary borrowed $. 960 from John at 12% p.a. SI for 6 years. He then added some more
money to the borrowed sum and lent it to Peter at 14 % p.a. If Mary gains $ 200 in the whole transaction, how much money did he add from his side?

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Question 1143508: A businessman borrowed P3,000,000 with interest at the rate of 6% compounded annually. He agrees to discharge his obligations by paying series of 6 annual payment,the first being due at the end of the fifth year. Determine the value of his annual payment.
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Question 1143634: Robert invests $3,250 into a money market account with an annual 1.7% simple interest rate. If he does not add or subtract any money, how much interest will he earn after three years?
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Question 1143754: you invested ​$29000 in two accounts paying 6 % and 8 % annual​ interest, respectively.
If the total interest earned for the year was $ 2040 comma how much was invested at each​ rate?

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Question 1143754: you invested ​$29000 in two accounts paying 6 % and 8 % annual​ interest, respectively.
If the total interest earned for the year was $ 2040 comma how much was invested at each​ rate?

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Question 1143772: Fleet Street Savings Bank pays interest at the rate of 4.25%/year compounded weekly in a savings account, whereas Washington Bank pays interest at the rate of 4.125%/year compounded daily (assume a 365-day year). Which bank offers a better rate of interest?

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Question 1143896: ​Betsy, a recent​ retiree, requires ​$5,000 per year in extra income. She has ​$60,000 to invest and can invest in​ B-rated bonds paying 13​% per year or in a certificate of deposit​ (CD) paying 3​% per year. How much money should be invested in each to realize exactly ​$5,000 in interest per​ year?
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Question 1143897: A bank loaned out ​$14,000​, part of it at the rate of 8 % per year and the rest at 16 % per year. If the interest received in one year totaled ​$1500​, how much was loaned at 8 % ?
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Question 1143988: Edgar and Janet divide a profit of $15 700. If Janet is to receive $4200 more than one-fifths of Edgar's share, how much will Edgar receive?
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Question 1144002: Hi there,
I’ve been stuck on this question for a day now and I’ve been using the reccurance relation formula to find out the answer but I’m struggling to get the correct one. I’m not even sure if I’m meant to use that formula...
Josie makes an initial deposit of $5000 on an investment taken out over 10 years at a rate of 7.4% per annum compounding biannually and an additional deposit of $500 is made every six months. How much interest has been earned over this time?
Thank you (:

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Question 1144030: IBM states that it makes a 30% profit over its expenses for producing hard drives. IBM sells each hard drive for $390. How much does it cost IBM to make each hard drive?
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Question 1144030: IBM states that it makes a 30% profit over its expenses for producing hard drives. IBM sells each hard drive for $390. How much does it cost IBM to make each hard drive?
Click here to see answer by ikleyn(52748) About Me 

Question 1144047: Suppose you invest $5,000 at 9% interest, compounded annually, for 10 years. Determine the future value of your investment, using the compound interest formula.

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Question 1144048: 4. Using the present value formula find how much you should invest now at 5.9% interest, compounded annually in order to have $10,000, 25 years from now.

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Question 1144127: A government employee is relocated to a new region of the country and purchases a new home. The purchase price of the house is $87,250. Taxes to be paid on this house include: county tax of $424 per year, town tax of $738 per year, and school tax of $466 every six months. The aggregate tax rate is 13.2% of assessed value. The assessed value of this house is what percent of the purchase price?
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Question 1144256: Investments: Aaron invested equal amounts of money at 5%, 7%, 9%, and 11% annual interest. If the four investments yielded a total of $1440 annual interest, find the total amount invested.
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1144256: Investments: Aaron invested equal amounts of money at 5%, 7%, 9%, and 11% annual interest. If the four investments yielded a total of $1440 annual interest, find the total amount invested.
Click here to see answer by ikleyn(52748) About Me 
Question 1144256: Investments: Aaron invested equal amounts of money at 5%, 7%, 9%, and 11% annual interest. If the four investments yielded a total of $1440 annual interest, find the total amount invested.
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Question 1144313: Suppose that $50,000 is invested at 9% interest. Find the amount of money in the account after 4 years if the interest is compounded annually.
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Question 1144276: find the present value and the compound discount of 6600$ due in 7 years 6 months. if interest is 7.2% quarterly.

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Question 1144404: Walt made an extra $9000 last year from a part-time job. He invested part of the money at 5% and the rest at 6%. He made a total of $480 in interest. How much was invested at 6%?

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Question 1144414: Sara borrowed funds to buy furniture for her business. Her business paying $200 at the end of each month for four years. The bank charges interest on the loan at 8% compounded monthly.
a. What was the cash price of the furniture?
b. How much is the cost of financing?

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Question 1144443: Garrett leaves school to walk home. His friend, Jessica, notices 0.3 hours later that Garrett forgot his phone at the school. So Jessica rides her bike to catch up to Garrett and give him the phone. If Garrett walks at 4.8 mph and Jessica rides her bike at 9.4 mph, find how long (in hours) she will have to ride her bike until she catches up to him.
Round your answer to 3 places after the decimal point (if necessary) and do NOT type any units (such as "hours") in the answer box.

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Question 1144443: Garrett leaves school to walk home. His friend, Jessica, notices 0.3 hours later that Garrett forgot his phone at the school. So Jessica rides her bike to catch up to Garrett and give him the phone. If Garrett walks at 4.8 mph and Jessica rides her bike at 9.4 mph, find how long (in hours) she will have to ride her bike until she catches up to him.
Round your answer to 3 places after the decimal point (if necessary) and do NOT type any units (such as "hours") in the answer box.

Click here to see answer by ikleyn(52748) About Me 
Question 1144443: Garrett leaves school to walk home. His friend, Jessica, notices 0.3 hours later that Garrett forgot his phone at the school. So Jessica rides her bike to catch up to Garrett and give him the phone. If Garrett walks at 4.8 mph and Jessica rides her bike at 9.4 mph, find how long (in hours) she will have to ride her bike until she catches up to him.
Round your answer to 3 places after the decimal point (if necessary) and do NOT type any units (such as "hours") in the answer box.

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Question 1144429: at the beginning of the year you went out and purchase $300.00 worth of gold coins. Every 3 months for the next 8 years you purchase and additional 300.00 worth of coins. At the end of the first 3yeats it's price of gold starts to come down. And when you decided to cash out. You can only get what you paid for it. What is the value

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Question 1144470: Fred received an inheritance of 13,500. He wishes to divide the amount between investments at 15% and 12% to receive an average return on both investments of 13%. How much should he invest at each rate?
could someone please also explain how to set the problem up

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Question 1144470: Fred received an inheritance of 13,500. He wishes to divide the amount between investments at 15% and 12% to receive an average return on both investments of 13%. How much should he invest at each rate?
could someone please also explain how to set the problem up

Click here to see answer by greenestamps(13195) About Me 

Question 1144514: IBM states that it makes a 30% profit over its expenses for producing hard drives. IBM sells each hard drive for $390. How much does it cost IBM to make each hard drive?
Click here to see answer by ikleyn(52748) About Me 

Question 1144523: Plan A: $35 per day and 10 cents per mile
Plan B: $55 per day with free unlimited mileage

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Question 1144526: Setsu Yamamoto invested $36000, part at 5% interest and the remainder at 8% interest. If she earned twice as much from her 5% investment as here 8% investment, how much did she invest at each rate?

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Question 1144536: divide $88 between A and B so that for every $3 received by ,B will receive $5 how much will each get
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Question 1144596: The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 244 people entered the park, and the admission fees collected totaled 666.00 dollars. How many children and how many adults were admitted?
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Question 1144596: The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 244 people entered the park, and the admission fees collected totaled 666.00 dollars. How many children and how many adults were admitted?
Click here to see answer by greenestamps(13195) About Me 

Question 1144600: Jose’s credit card statement says that he owes $324. He charges an additional $63 ,$21 and $75 how much does he owe now.
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Question 1144671: When Claudia borrowed $6400 at 11% compounded semiannually for three years, the value of the rate per period was?

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Question 1144700: A company invests a total of $30,000 of surplus funds at two annual rates of interest: 3% and 7 1/4%. It wishes an annual yield of no less than 6 1/2%. What is the least amount of money that the company must invest at the 7 1/4% rate?
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Question 1144857: A bakery owner sold her last two cakes for $36 each. She made a profit of 24%
on one cake, but had an 8% loss on the other. What was the total profit or
loss on the two sales?

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Question 1144861: Jack needs $5100 in 6 years from today to buy a holiday. He invests $2300 today. Find the effective annual rate of interest that Jack needs to earn on this amount (as a %, 2 decimal places) in order to reach his goal.
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Question 1144865: Jack seeks a loan of $250,000 from his bank. If repayments are annual in arrears (end-of-year), and his bank charges 11% p.a compounding monthly, what is the intrest rate value (Answer in percentage to two decimal places, do not include % sign eg. 12.00)
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Question 1144889: A store owner want to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $19.20 per pound should be mixed with 14 pound of trail mix costing $2.90 per pound to create a mixture worth $11.05. (round to the nearest pound)
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Question 1144908: Charlie says to Mia, "If you give me $9.00, we will have an equal amount of money." Mia responds, "That may be true, but if you give me $9.00 instead, I will have twice as much money as you." How much money did Charlie and Mia each have in the beginning?
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Question 1144916: At​ 12:00 noon, there were 200 bacteria present. By​ 4:00 pm, there were 379 bacteria. If the bacteria grows​ continuously, how many will there be at​ 7:30 pm?
There will be_bacteria

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Question 1144853: Accumulate 7,900 for 9 months at 13%
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