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

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Question 1162003: John bought stock for 4550.00 dollars and after 6 months, the value of his shares had risen by 124.00 dollars and dividends totaling 133.42 dollars has been paid. Find the simple interest rate, r he earned on this investment if he sold the stock at this time.
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Question 1162002: An accounting firm has 800 hours of staff time and 96 hours of reviewing time available each week. The firm charges 1000 dollars for an audit and 300 dollars for a tax return. Each audit requires 100 hours of staff time and 8 hours of review time. Each tax return requires 12.5 hours of staff time and 2 hours of review time.
a) What numbers of audits and tax returns will yield the maximum revenue?
b) What is the maximum revenue?

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Question 1162038: A woman earns $960 in interest from two accounts in a year. If she has three times as much invested at 9% as she does at 5%, how much does she have in each account?
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Question 1162038: A woman earns $960 in interest from two accounts in a year. If she has three times as much invested at 9% as she does at 5%, how much does she have in each account?
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Question 1162037: The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate.
Principal
Rate
Compounded
Time
$ 12 comma 000
2 %
annually
3 years
A. Find how much money there will be in the account after the given number of years.
B. Find the interest earned.

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Question 1162036: Retailers will buy 12 cordless phones if the price is $52, and each will buy 16 if the price is $48. The wholesaler will supply 13 phones at $47 each and 15 at $53 each. Assuming the supply and demand functions are linear, find the market equilibrium point.
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Question 1162050: Chapter: Amount of Annuity
You wish to purchase a house for $200,000 in 12 years. You can invest your money at 5%/a compounded semiannually. How much do you need to invest every 6 months, starting in 6 months, so that you will have $200,000 at the time of your last deposit?

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Question 1162050: Chapter: Amount of Annuity
You wish to purchase a house for $200,000 in 12 years. You can invest your money at 5%/a compounded semiannually. How much do you need to invest every 6 months, starting in 6 months, so that you will have $200,000 at the time of your last deposit?

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Question 1162054: A diet is to contain at least 895 units of carbohydrates, 2290 units of proteins, and 2260 calories. Two foods are available: F1 which costs $0.02 per unit and F2, which costs $0.04 per unit. A unit of food F1 contains 1 units of carbohydrates, 4 units of proteins and 6 calories. A unit of food F2 contains 9 units of carbohydrates, 6 units of proteins and 4 calories. Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimal nutrition requirements.
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Question 1161918: The Tennessee Jack Distillery produces custom-blended whiskey. A particular
blend consists of rye and bourbon whiskey. The company has received an order
for a minimum of 400 gallons of the custom blend. The customer specified
that the order must contain at least 40 percent rye and not more than 250
gallons of bourbon. The customer also specified that the blend should be
mixed in the ratio of two parts rye to one part bourbon. The distillery can
produce 500 gallons per week, regardless of the blend. The production
manager wants to complete the order in one week. The blend is sold for $12
per gallon. The distillery company’s cost per gallon is $4 for rye and $2
for bourbon. The company wants to determine the blend mix that will meet
customer requirements and maximize profits.

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Question 1162085: For a Saturday matinee, adult tickets cost $7.00 and kids under 12 pay only $4.50. If 79 tickets are sold for a total of $428.00, how many of the tickets were adult tickets and how many were sold to kids under 12?
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Question 1162085: For a Saturday matinee, adult tickets cost $7.00 and kids under 12 pay only $4.50. If 79 tickets are sold for a total of $428.00, how many of the tickets were adult tickets and how many were sold to kids under 12?
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Question 1162035: A young couple is ready to buy their first home. They have 29,000 dollars for a down payment, and their budget can accommodate a monthly mortgage payment of 1,150 dollars. What is the most expensive home they can buy if they can borrow money for 30 years at 6.6%, compounded monthly?
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Question 1162034: Frank received a 380,000 dollar inheritance on his 30th birthday and invested it into a fund that earns 5.3%, compounded semiannually. If this amount is deferred until Frank’s 60th birthday, how much will it provide at the end of each half-year for the next 10 years?
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Question 1162034: Frank received a 380,000 dollar inheritance on his 30th birthday and invested it into a fund that earns 5.3%, compounded semiannually. If this amount is deferred until Frank’s 60th birthday, how much will it provide at the end of each half-year for the next 10 years?
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Question 1162159: In investing $5,900 of a couple's money, a financial planner put some of it into a savings account paying 5% annual simple interest. The rest was invested in a riskier mini-mall development plan paying 10% annual simple interest. The combined interest earned for the first year was $460. How much money was invested at each rate?
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Question 1162159: In investing $5,900 of a couple's money, a financial planner put some of it into a savings account paying 5% annual simple interest. The rest was invested in a riskier mini-mall development plan paying 10% annual simple interest. The combined interest earned for the first year was $460. How much money was invested at each rate?
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Question 1162216: The digital watch company Makes digital watches for scuba divers. The company models its profits with the function P(d)=2d^2*13d-6, Where D is the number of watches sold, in hundreds, and P(d) is the companies profit, and tens of thousands of dollars.
A) how many watches must the company sell so that the company can break even?
B) how many watches does diver time need to sell to maximize profits?
C) what is the maximum profit?

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Question 1162363: $100 is put into a bank account that pays interests so that the amount in the account grows according to the expression 100(1.06)n, where n is the number of years. Find the amount in the account after. 5 years and 10 years
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Question 1162418: The employees of a hardware store ordered lunch from a local delicatessen. The lunch consisted of 4 turkey sandwiches and 7 orders of french fries, for a total cost of $18.90. The next day, the employees ordered 5 turkey sandwiches and 5 orders of french fries totaling $21.00. What does the delicatessen charge for a turkey sandwich? What is the charge for an order of french fries?
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Question 1162424:
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Question 1162508: what rate of interest compounded annually is required to triple an investment in 22 years?
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Question 1162508: what rate of interest compounded annually is required to triple an investment in 22 years?
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Question 1162505: if the rate of inflation averages r per annum over n years, the amount. A that $P will purchase after n years is A=P(1-r)^n, where r is expressed as a decimal. if the inflation rate averages 2.1%, how much will $2,000 purchase in 4 years?
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Question 1162519: A state employees' pension fund invested a total of one million dollars in two accounts that earned 3.5% and 4.5% annual simple interest. At the end of the year, the total interest earned from the two investments was $38,000. How much was invested at each rate?
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Question 1162519: A state employees' pension fund invested a total of one million dollars in two accounts that earned 3.5% and 4.5% annual simple interest. At the end of the year, the total interest earned from the two investments was $38,000. How much was invested at each rate?
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Question 1162518: A foundry has been commissioned to make souvenir coins. The coins are to be made from an alloy that is 40% silver. The foundry has on hand two alloys, one with 50% silver content and one with a 25% silver content. How many kilograms of each alloy should be used to make 5 kilograms of the 40% silver alloy?
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Question 1162518: A foundry has been commissioned to make souvenir coins. The coins are to be made from an alloy that is 40% silver. The foundry has on hand two alloys, one with 50% silver content and one with a 25% silver content. How many kilograms of each alloy should be used to make 5 kilograms of the 40% silver alloy?
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Question 1162541: Dan found a coupon for $20 off a wireless controller for a video game. The controller that he wants costs $60. Dan has decided to mow lawns for $6.00 per hour to earn the rest of the money. Which inequality that could be used to find the number of hours Dan must mow lawns to earn the money he needs to buy the controller?
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Question 1162540: John won a gift certificate of $50 to an electronics store. He decided to use the gift certificate towards the purchase of a tablet. The tablet that he wants costs $400. John has decided to take a part-time job paying $4.25 per hour to earn the rest of the money. Which inequality could be used to find the number of hours John must work to earn the money needed to buy the tablet?
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Question 1162534: Each month Barry makes three transactions and his checking account he deposits $700 from his paycheck he withdraws $150 to buy gas for his car he withdraws $400 for other expenses if his account balance is $1900 at the end of the first month which recursive equation models berries account balance at the end of the month each month Barry makes three transactions and his checking account he deposit $700 from his paycheck he withdraws $150 to buy gas for his car he withdraws $400 for other expenses if his account balance is $1900 at the end of the first month which recursive equation models berries account balance at the end of the month n?
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Question 1162566: A man buys 2750 eggs for $100.00, and loses 350 of these eggs because of breakage. If he sells the remaineggs at 70¢ per dozen, what per cent of his original investment is his profit?
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Question 1162565: A salesman sold a book at 105% of the marked price instead of discounting the marked price by 5%. If he sold the book for $4.20, what was the price for which he should have sold the book?
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Question 1162686: For a Saturday matinee, adult tickets cost $9.00 and kids under 12 pay only $5.00. If 45 tickets are sold for a total of $269.00 How many of the tickets were adult tickets and how many were sold to kids under 12?
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Question 1162824: Amelia has a balance of ​$1379.29 on a credit card with an annual percentage rate​ (APR) of
​%19.2. The minimum payment required in the current statement is ​$.27.23 Find the amount of interest and the amount applied to reduce the principal in this payment and the balance after this payment.

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Question 1162862: If $5000 is borrowed from a bank with an interest rate of 10% per annum, how much money would be repaid after 2 years?
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Question 1162922: Andres is handing out licorice pieces and butterscotch hard candies for Halloween. He wants to have a total of 10 pounds of candy, but he doesn't want to spend more than $17.00 total on the candy. If licorice pieces costs $3.10 per pound, and butterscotch hard candies costs $1.10 per pound, how many pounds of each type of candy should he buy?

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Question 1162992: A jewelry store called clear ice buys 1 carat diamond earrings for $800 a pair. The earrings are marked up 70% to be sold at the store based on the cost. Clear ice had a New Year’s Sale and marked down the earrings by 15% on January 1st. After the sale on January 10th the earrings were marked up 10%. On February 1st the earrings were marked down 20%. What is the selling price? What was the selling price on January 1st? What was the selling price on January 10th?
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Question 1163008: the standard salary of an Engineer per month at a certain firm is 37,000 php and an additional 600 php per hr is added for overtime, how many hours of overtime should he have if he wants to have a salary od 40, 000 php by the end of the month?
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Question 1163100: What is the difference between investing $4,000 for two years at 7% compound interest computed semi-annually or invest them at 5% computed compound interest quarterly basis?
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Question 1163100: What is the difference between investing $4,000 for two years at 7% compound interest computed semi-annually or invest them at 5% computed compound interest quarterly basis?
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Question 1163339: for every set of smart kids magazine sold, Joyce was paid $11.80. She also received a bonus of $58.40 for selling every 12 sets. Monica received a total of $ 2600 from the sale of smart kids magazine sets in a particular month. How many sets did she sell that month?

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Question 1163387: P = $250, r = 3%, t = 2 years
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Question 1163553: A company manufactures both mountain bikes and trail bikes. The cost of materials for a mountain bike is $70, and the cost of materials for a trail bike is $60. The cost of labor to manufacture a mountain bike is $80, and the cost of labor to manufacture a trail bike is $40. During a week in which the company has budgeted $1,950 for materials and $1,800 for labor, how many mountain bikes does the company plan to manufacture?
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Question 1163624: Michael is saving money to buy a phone that costs $575. He has $175 saved, and each week he adds $50 to his savings. How many weeks will it take him to save money to buy the phone?
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