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

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Question 65488: (58) If the total bill at a restaurant , including a 15% tip, is $65.32, what was the cost of the meal alone?
(38) A survey of 400 people found that 66 were left-handed. What percent of those surveyed were left-handed?

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Question 65490: (92) Statistics. Sam must have an average of 70 or more in his summer course to obtain a grade of C. His first three test grades were 75,63, and 68. Write an inequality representing the score that Sam must get on the last test to get a C grade.
(94) Business and finance. The cost for a long-distance telephone call is $0.36 for the first minute and $0.21 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $3.



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Question 65493: (64)A common mistake when solving equations is the following:
The equation: 2(x – 2) = x + 3
First step in solving: 2x – 2 = x + 3
Write a clear explanation of what error has been made. What could be done to avoid this error?
(92) Statistics. Sam must have an average of 70 or more in his summer course to obtain a grade of C. His first three test grades were 75,63, and 68. Write an inequality representing the score that Sam must get on the last test to get a C grade.
(94) Business and finance. The cost for a long-distance telephone call is $0.36 for the first minute and $0.21 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $3.

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Question 65493: (64)A common mistake when solving equations is the following:
The equation: 2(x – 2) = x + 3
First step in solving: 2x – 2 = x + 3
Write a clear explanation of what error has been made. What could be done to avoid this error?
(92) Statistics. Sam must have an average of 70 or more in his summer course to obtain a grade of C. His first three test grades were 75,63, and 68. Write an inequality representing the score that Sam must get on the last test to get a C grade.
(94) Business and finance. The cost for a long-distance telephone call is $0.36 for the first minute and $0.21 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $3.

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Question 65491: I made a mistake the problems are from chapter 2.7 not 2.5.
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Question 65525: (48) Business and finance. When x number of units are sold, the price of each unit (in dollars) is given by . Find the unit price when the following quantities are sold: 2,7,9,11.
(64) Business and finance. The revenue for a sandwich shop is directly proportional to its advertising budget. When the owner spent $2000 a month on advertising, the revenue was $120,000. If the revenue is now $180,000, how much is the owner spending on advertising?


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Question 65533: (38) Number problems. You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inequality that shows the different number of coins in your drawer.
(54)Business and finance. If the inventor in exercise 53 charges $4 per unit, then her profit for producing and selling x units is given by the function.
P (x) = 2.25x –7000
(a) What is her profit if she sells 2000 units?
(b) What is her profit if she sells 5000 units?
(c) What is the break-even point for sales?

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Question 65531: (52)Business and finance. In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.
(46)Technology. Driving down a mountain, Tom finds that he has descended 1800ft in elevation by the time he is 3.25 mi horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.

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Question 63311: What simple interest rate will Susan need to secure to make $2,500 in interest on a $10,000 principal over 5 years?
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Question 65581: Kevin earned $165 interest for 1 year on an investment of $1500. At the same rate, what amount of interest would be earned by an investment of $2500?
I believe the interst rate is 11% which leaves an equation of:
11% * $2500 = $275.00
Is this correct?

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Question 65660: I need help!
The amount A in an account after t years of an initial principle P invested at an annual rate r compunded continuously is given by A=Pe^rt where r is expressed as a decimal. What is the amount in the account if $500 is invested for 10 years at the annual rate of 5% compounded continuously?

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Question 65734: Future Value the concept called Present value You want to buy a new car in 5 years and estimate you need $20,000.00.If the bank pays you 6% interest rate how much do you need to put in the bank today? I need step by step instructions of how to get the answer. The book gives the answer but no steps on how to get there. Thank you and have a nice day. This question came from an accounting business class online called The Kaplan E Guide to Business.
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Question 65735: Future Value the concept called Present value You want to buy a new car in 5 years and estimate you need $20,000.00.If the bank pays you 6% interest rate how much do you need to put in the bank today? I need step by step instructions of how to get the answer. The book gives the answer which is present value = $14,945.00 but no steps on how to get there. Thank you and have a nice day. This question came from an accounting business class online called The Kaplan E Guide to Business
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Question 65735: Future Value the concept called Present value You want to buy a new car in 5 years and estimate you need $20,000.00.If the bank pays you 6% interest rate how much do you need to put in the bank today? I need step by step instructions of how to get the answer. The book gives the answer which is present value = $14,945.00 but no steps on how to get there. Thank you and have a nice day. This question came from an accounting business class online called The Kaplan E Guide to Business
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Question 65756: Business and finance. Linda Williams has just begun a nursery business and seeks your advice. She has limited funds to spend and wants to stock two kinds of fruit-bearing plants. She lives in the northeastern part of Texas and thinks that blueberry bushes and peach trees would sell well there. Linda can buy blueberry bushes from a supplier for $2.50 each and young peach trees for $5.50 each. She wants to know what combination she should buy and keep her outlay to $500 or less. Write an inequality and draw a graph to depict what combination of blueberry bushes and peach trees she can buy for the amount of money she has. Explain the graph and her options.
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Question 65757: Barry and Steve are good friends. Barry wants to buy a new computer, but he doesn't have the money for it right now. Barry says that he will pay Steve $2,000 in five years if Steve gives him $1,600 for the computer today.
Steve figures that there's an interest rate of 6% if he were to put the money in a bank instead of lending it to Barry. What are the steps and answer to solving this. Thank you and have a nice day. Gina Kaplan School of Business Unit 7 e guide

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Question 65767This question is from textbook Beginning Algebra
: The cost of the producing a number of items x is given by C=mx+b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item).
a). If the fixed cost is $40.00 and the variable cost is $10.00, write the cost equation.
b). Graph the cost equation.
The equation I came up with is C=10x+40. However I have not a clue on if this is correct and how to graph this equation. Could you please give some assistance. Thanks.
This question is from textbook Beginning Algebra

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Question 65753: you are the office manager of r a small company. You need to acquire a new copier for the office. You find a suitable one that leases for $250 a month from the copy machine company. It costs 2.5 cents per copy to run the machine. You purchases paper for $3.50 a ream (500 sheets). If your copying budget is no more than $950 per month, is this machine a good choice? Write a brief recommendation to the purchasing department. Use equations and inequalitities to explain your recommendation.
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Question 65672: Business and finance. Linda Williams has just begun a nursery business and seeks your advice. She has limited funds to spend and wants to stock two kinds of fruit-bearing plants. She lives in the northeastern part of Texas and thinks that blueberry bushes and peach trees would sell well there. Linda can buy blueberry bushes from a supplier for $2.50 each and young peach trees for $5.50 each. She wants to know what combination she should buy and keep her outlay to $500 or less. Write an inequality and draw a graph to depict what combination of blueberry bushes and peach trees she can buy for the amount of money she has. Explain the graph and her options.
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Question 66036This question is from textbook An Incremental Development
: The television retailied for $375. What was the purchase price of the television if it had been marked up 25% of the purchase price?This question is from textbook An Incremental Development

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Question 66187: Peter has 40 pumpkins to sell. He will sell them all if he sets his price at $1.00 each, but will sell one less pumpkin for each 5 cent increase in price. What price should he charge to maximize his earnings?(Show algebraically)

thank you!

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Question 66211This question is from textbook College Algebra
: A ballet performance brought in $61,800 o the sale of 3000 tickets. If the tickets sold for $14 and $25, how many of each were sold?This question is from textbook College Algebra

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Question 66334This question is from textbook An Incremental Development
: Gomez Motors purchased an automobile for $12,000 and sold it for $15,000. What was the markup as a percentage of the purchase price and what was the markup as a percentage of the selling price?This question is from textbook An Incremental Development

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Question 66507: A FURNITURE STORE MARKS UP ITEMS 20% (BASED ON COST). IF THE FURNITURE STOR BUYS A COUCH FOR $350, WHAT WILL THE SELLING PRICE BE?

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Question 66508: Joe was charged $66 interest for 1 month on a $1200 credit card balance. what was the monthly interest rate?
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Question 66537This question is from textbook
: The closing price of a share of stock in company XYZ is $25.69 on Thursday. If the change from the closing price on Wednesday is $-.75, find the closing price on Wednesday.
Spiral
This question is from textbook

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Question 66546This question is from textbook Prentice Hall Mathematics
: Jim earns $5.50 per hour for mowing lawns.
How much did Jim earn for working 3 hours and 45 minutes?
This question is from textbook Prentice Hall Mathematics

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Question 67173This question is from textbook Pre-Algebra
: Your friend works as a waitress at a local restaurant. her income consists of an houly wage plus tips. On Wednesday, you friend earned $25 in tips over a 5 hour period. ON Friday, your friend earned $30.76 in tips over a 3 hour periodd. How much is your friens hourly wage if your friend earned the same amount of money on Wednesday as on Friday?This question is from textbook Pre-Algebra

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Question 67296This question is from textbook An Incremental Development
: There were 36 nickels, dimes and quarters whose value was $6. If there were three times as many quarters as nickels, how many coins of each kind were there?
This question is from textbook An Incremental Development

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Question 67360: business and finance: the cost in dollars of manufacturing w wing nuts is given by the expression 0.07w + 13.3. Find the cost when 375 wing nuts are made. What is the average cost to manufacture one wing nut?
i am not sure if i got the answer correct but the answer that i got was $39.55

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Question 67441: Zoya Lon invested part of her $25,000 advance at 8% annual simple interest and the rest at 9% annual simple interest. If her total yearly interest from both accounts was $2135, find the amount invested at each rate.
I'm having a problem setting this up as an equation using the formula
Int. = P · r · t

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Question 67477: A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb of mixure that will sell for $11.25 per pound. How much of each type of bean should be used in the mixure?
Any help is appreciated. Thanks

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Question 67821: At the movies tickets for adults cost $5.50 and tickets for children cost $3.50. How many of each kind of ticket was purchased if 21 tickets were bought for $83.50?
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Question 68057This question is from textbook Algebra
: Hi I need help with this problem. I tried following the examples from the book but I just couldn't get the right answer.

Luis & Julia have the same number of coins. Luis has only dimes & Julia has only quarters. If Julia has $1.80 more than Luis does, how many coins does each have?
This question is from textbook Algebra

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Question 68087: Jack invested $8000, part at 10% and part at 15%. If the total interest at the end of the year is $900, how much did he invest at 10%?
a)$7000
b)$5000
c)$6000
d)$4000

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Question 68125: Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of the chocolate bar and the cost of a pack of gum.
I am a bit confused on this can someone help with this. Thanks

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Question 68059This question is from textbook
: A home purchased for $300,000 depreciated 8% over a 1-year period. What was the value of the home after at the end of the year?This question is from textbook

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Question 68029: I have tried a number of equations and even gone to my school's tutoring center. It is an online preogram so the answer has to be exact, I know it's about 2 but I can't get it to be exact that the program will say it is correct. I hope you can help.
You invest $6000. Your banker tells you that your investment will double in exactly 5 years. At your next party you tell your friends that you invested money (you modestly omit the amount) at _______ percent annual interest. (Enter your percentage with at least three digits beyond the decimal point.)

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Question 68151: Please help, I'm stuck... this is a precalculus problem, but I have problems with the algebra in it, so I thought I'd give this site a shot.
The revenue generated by selling X units of a certain commodity is given by:
R= (-1/5X)^2 + 200X
R is given in dollars. What is the MAXIMUM revenue possible?
I'm supposed to make it quadratic, but I'm confused.
(They want me to use slope formula to find the vertex or something, but I dont get why a vertex would relate to this problem...)
Thanks for your time!

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Question 68412This question is from textbook
: Barb has a total of $25,000 invested in two different accounts. One is a money market account paying 9.5% interest, while the other is a cd that pays 12% interest. She recieves $2700 in interest from these combined investments, after 1 year. How much does she have invested in each account?This question is from textbook

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Question 68412This question is from textbook
: Barb has a total of $25,000 invested in two different accounts. One is a money market account paying 9.5% interest, while the other is a cd that pays 12% interest. She recieves $2700 in interest from these combined investments, after 1 year. How much does she have invested in each account?This question is from textbook

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Question 68410: Faye has a home equity loan of $70,000. The bank charges Faye 6% per annum simple interest. What is the interest charge on Faye's loan after one month?
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Question 68528: Kevin lives on the grounds of Whatsamatta University, for which he performs grounds keeping. Each day he works, the University owes him $80; but for each day that he doesn't work, Kevin owes Whatsamatta University $30 rent. All debts are paid at the end of the month. Suppose that at the end of January 2007, the university owes Kevin a total of $1,160. How many days did Kevin work in the month of January?
I can't get any equation that works. Thanks!

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Question 68626: A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?
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Question 68694: Kevin earned $165 interest for 1 year on an investment of $1500. At same rate, what amount of interst would be earned by investment of $2500? Here is what I came up with. Please help me. Thank you in advance.
$2500 x 12= $300 interest

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