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

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Question 33747: Calculate the NPV(Net Present Value) for a project costing $250,000 which will then provide $25,000 annually for 25 years. The discount rate is 5%. What would the NPV be if the inflows were $20.000 annually for only 20 years?
Click here to see answer by venugopalramana(3286) About Me 

Question 33745: Prizes are often not "worth" as much as claimed. What is the real value of a prize of $5,000,000 which is to be received in equal payments over 20 years, with the first payment beginning today? Assume an interest rate of 5% over the 20 years.
Click here to see answer by venugopalramana(3286) About Me 

Question 33779: One type of cat food recommends that a cat have a daily serving of 1/3ounce of dry cat food per pound of body weight. If a cat is fed 3 2/3 ounces of dry food a day according to these recommendations, how many pounds does the cat weigh?
Click here to see answer by Nate(3500) About Me 

Question 33825: 1. when the monthly finance charge is 1 1/4 percent what is the annual rate.
do i take the percent amount and x it be 30 for the month

2. if you borrow $3.000 for 24 months to buy a car and pay $137.50 per month what is the finance charge.

Click here to see answer by stanbon(75887) About Me 

Question 33234: The techniques for solving linear equations and linear inequalities are similar, yet different. Explain and give an example of both a linear equation and a linear equality that demonstrates this difference.
Thank you so much for all your help!
Denise

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Question 34156: Help me with this in a hurry please? I need it explained all problems algebraically please?



INVESTMENT CLUBS: Part of $8000.00 was invested by an investment club at 10% interest and the rest at 12%. If the annual income from these investments is $900.00, how much was invested at each rate?
Thank you so much!!

Click here to see answer by venugopalramana(3286) About Me 

Question 34316: Give an example of using the distributive property for a negative monomial times a trinomial with different signs on the terms [for example: -3x(2xy + 3y – 2x)] and show each step of the distribution. Why do you think many students make sign errors on this type of problem? What would be your advice to a student who has trouble with the signs?
Can you help me with this please?
Thank you

Click here to see answer by venugopalramana(3286) About Me 

Question 34417: A man goes into a grocery store and buys a grapefruit and a toy ball. A 7% tax is applied to the price of non-food items. If the total bill is $5.15, including $0.18 in tax on the toy ball, what are the prices of the grapefruit and the ball?
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Question 34426: A university bookstore recently sold a wirebound graph-paper notebook for $2.50, and a college-ruled notebook for $2.30. At the start of spring semester, a combination of 50 of these notebooks were sold for a total of $118.60. How many of each type were sold?
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Question 34425: A bricklayer and an electrician together spend 90 hours working on a new house. If the bricklayer earns $12 per hour, the electrician earns $16 an hour, and the owner pays them a total of $1350 for their work, how many hours does each worker spend on the house?
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Question 34424: A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six oranges for $11.16. What is the price of each fruit?

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Question 34420: Walt made an extra $9000 last year from a part-time job. He invested part of the money at a 9% annual rate of interest, and the rest at an 8% annual rate of interest. At the end of the year, he made a total of $770 in interest. How much was invested at 8%?
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Question 34418: On the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school.
Click here to see answer by stanbon(75887) About Me 
Question 34418: On the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school.
Click here to see answer by lyra(94) About Me 

Question 34483: A man has 3 times as much money invested in 12% bonds as he has in stocks paying 9%. If his yearly income from the investments is $2,700, what is his total investment is?
Click here to see answer by stanbon(75887) About Me 

Question 33993: I GAVE YOU THE WRONG E-MAIL FIRST THIS IS THE RIGHT ONE
CAN YOU PLEASE HELP
1. WHAT IS THE MONTHLY PAYMENT ON AN ADD ON INTEREST LOAN, IF $6,000 IS BORROWED AT 10 PERCENT FOR 12 MONTHS/
2.AT THE AVERAGE COST 6.5 CENTS PER KILOWATT HOUR, FIND THE WEEKLY COST OF OPERTING 4 HOURS EACH DAY A TV USES 200 WATTS PER POWER

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Question 34818: Myra Smart invests in two companies. The ivestments yields 5% and 8% interest respectively and she earns $510 annually. Find the amount currently contained in each account if she invests 2/3 as much in the first account as in the second.
this is the eqation i have so far
2x(.05)/3+.08=510

Click here to see answer by checkley71(8403) About Me 

Question 34870: Jorge Martinez has budgeted $150 to have business cards printed. A card printer charges $11 to set up each job and an additional $6 per box of 100 cards printed. What is the greatest number of cards Mr. Martinez can have printed? <<
Click here to see answer by stanbon(75887) About Me 
Question 34870: Jorge Martinez has budgeted $150 to have business cards printed. A card printer charges $11 to set up each job and an additional $6 per box of 100 cards printed. What is the greatest number of cards Mr. Martinez can have printed? <<
Click here to see answer by wuwei96815(245) About Me 

Question 34973: Here's another word problem having to do with interest: Sharon Sledge invested 20,000, part at 5% and part at 7% simple interst for a period of one year. How much was invested in each account if the interest earned in the 7% account was $440 greater than the amount invested in the 5% account?
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Question 34981: a company's monthly sales of $50,00 result in $6,000 profit, while monthly sales of $70,000 result in $9,000 profit. If profit is considered as a linear function of sales, what minimum amount of sales is needed to avoid a loss?
i found the slope which was 3/20 and i substituted that in y=mx + b giving me
y=3/20(50,000)+b
then i got y=7500+b
then i substituted 6,000 for y and got -1500=b
my equation then being y=3/20x-1500
i have no idea if this is right or if it is what is being asked for
thank you

Click here to see answer by checkley71(8403) About Me 

Question 35041: Compound Interest. I know the formula and have my teacher's answer to this quesion but
cannot get from one to the other. Frustration has reached its peak!
Here's the problem with the answer:
If you invest $500 at an annual rate of 10% compounded quarterly for 20 years, you will earn $3,104.78 in interest and have a total of $3,604.78.
The formula (as I understand it to be): A=p(1+r/n)(nt) or A=500(1+.1/4)4(20) or A=500(1.025)80 or
(please stick with what I'm thinking and tell me what is wrong...) or A=500 times 1.025 times 80
or (after I multiply those three figures together) A=410,000 - obviously not the $3,104.78 in
interest as figured by my teacher. I'm not a total dummy, but this I cannot figure out. Any help would be GREATLY appreciated! Thank you in advance (and again later).

Click here to see answer by hydromojo(20) About Me 

Question 35297: A postal clerk sold 70 stamps for $17.00.Some were 35 cent stamps and some were 20 cent.How many of each stamps did he sell?
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Question 35447: I tried and tried to figure this one out, with no success.
Becky Schwartz, a saleswoman, is offered two salery plans. Plan 1 is $400 per week salery plus a 2% commision of sales. Plan 2 is a $250 per week salery plus a 16% commision of sales. How much would becky need to make in sales for the salery to be the same on both plans?

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Question 35783: Hello, I desperately need help with this problem. This problem is not from a college text but was made up by my math teacher. I'm not handy with a scientific calculator and have not been able to figure out how to get negative exponents to work equation. The problem looks like this:
You have decided to buy a used car. The cars from 4 dealers appear to be similar in price; however, the dealerships are offering different loan packages and you need to sit down & compare the financial advantages and disadvantages of each.
Using compount interest formula:
A=R[1-(1+i/n)raised to -nt power]
_____________________________
[ i/n ]
Where A stands for amount that you have to borrow from dealer, R represents the amount you will have to pay back per time compounded per year, i represents the annual % rate that you pay in interest, n represents the # of times per year that the interest would be compounded, and t represents the number of years that you would be making payment on the car.
Suppose you want to have the loan paid off in 4 years. How much would your car payment be in each case? Assume that the number of car payments that you make per year equals the number of interest periods per year. Details regarding dealers are below:
Amount Borrowed APR% # of Times Compounded Per Year
Dealer 1 $10,000 8.3% 12
Dealer 2 $9,500 8.6% 4
Dealer 3 $9,000 9% 6
Dealer 4 $10,500 8.2% 12
If I can get assistance with working the first dealer, I believe I could complete the calculations for dealers 2, 3, & 4. Thank you





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Question 36226: A business invests $10,000 in a savings account for two years. At the beginning of the second year, an additional $3500 is invested. At the end of the second year, the account balance is $15,569.75. What was the annual interest rate?
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Question 36407: Hot Wheels Cycle Shop bought 16 helmets at $30 each.
Some were sold for $60 each.
The rest were sold at a clearance sale price of $45 each.
The profit for Hot Wheels was $375.
How many helmets were sold at the sale price?
The word problem says "Cost and Money Problems". If that helps at all.

Click here to see answer by Prithwis(166) About Me 

Question 36416: The Flicks Video Store bought several VCRs.
Each recorder cost them $220.
They gave away one recorder in a prize drawing, and sold the others for $290 each.
Their profit was $1250.
How many recorders did they sell?

Click here to see answer by ilana(307) About Me 

Question 36424: You have $24.05 with 210 coins in quarters, nickles, and dimes, such that twice the number of quarters is 13 more than the number of nickels. Find how many of each coin you have.
Click here to see answer by Paul(988) About Me 

Question 36503:
Click here to see answer by checkley71(8403) About Me 

Question 36556: Find the annual intrest rate
Principal=$5000
Balance=$15,399.30
Time=15 years
Compounding=daily

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Question 36640: A woman deposits $50,000 in a savings account with 4% continuously compounded interest. How many years must she wait until the balance has doubled?
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Question 36891: The combined cost of one advance ticket to a show and one same-day ticket was $55. It is known that 30 tickets were sold in advance and 25 the same day, for total receipts of $1575 . What was the price of each kind of ticket?

Click here to see answer by Paul(988) About Me 

Question 37116: Please solve the following word problem and show all work.
Steven found that the value of his new car ic currently $31,200, but us expected to depreciate 6.9% per year. Based on the rate of depreciation and using the general formula for exponential decay, y=+c%281+-+r%29%5Et , find the value of his car in 5 years.

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Question 37324: Solve using an equation.
Chad earns $ 2500 less per year than Maria does. The combined income of the two people is $ 39,500 per year. How much does each person earn?

Click here to see answer by hydromojo(20) About Me 

Question 37333: Whats the difference between 'continuous compounding' & 'regular compounding' of interest.Give some examples.
Expalin me the concepts so that I can apply the formulae.
I have the Formulae for both.
Refered to varioius books and net but not clear. one of the pages say'The distinction is like the difference between getting water from a hand pump and getting water from a faucet. With the hand pump, the water flow is broken. With the faucet, it is continuous. The faucet does not necessarily deliver water any faster than the pump. It just delivers it continuously'. Src-http://www.riskglossary.com/link/compounding.htm
Pls give NUMERICAL examples to clarrify the difference.

Click here to see answer by venugopalramana(3286) About Me 

Question 37269: I have not a clue how to solve this. I am horrible at Algebra, PLEASE HELP!!!!
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.

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Question 37310: A rental agent for vacation houses in southern Spain earns a flat amount of base pay per month plus a 7.5% commission on rentals sold during that month. One month he earns $5575 on rental sales of $45,000. What is his base monthly pay?
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Question 37389: I am unable to paste the circle graph, but will supply the data.
Total monthly family budget = $2900
Rent = $1200; transportation = $550; food = $400; misc. = $300;
utilities = $250; and charitable contributions = $200.
The above circle graph displays Chris and Mary Smith's monthly $2900 family budget. Use the circle graph to answer the question: What is the ratio of money spent on rent to the total amount of the monthly budget?

Click here to see answer by fractalier(6550) About Me 

Question 37448: Vern has investments totaling $11,000 in two accounts. Once account is a savings account paying 6% interest and the other is a bond paying 9%. If the annual interest from the two investments was $855: a. How much did he have invested at the 6% rate?
A) $4,500 B) $6,500 C) $6,600 D) $9,900
b. How much did he have invested at the 9% rate?
A) $4,500 B) $6,500 C) $6,600 D) $9,900
c. How much interest did the 6% account earn?
A) $270 B) $585 C) $660 D) $990
d. How much interest did the 9% account earn?
A) $270 B) $585 C) $660 D) $990


Click here to see answer by checkley71(8403) About Me 

Question 37480: A bus can be chartered for a fixed price by 30 students, if 10 students are added the cost of the charter remains the same but the cost per student is reduced by $2.00. What is the cost of the charter?
Click here to see answer by stanbon(75887) About Me 

Question 37809: Use the compound interest equation A= P(1 + r/n)^nt to find how long, to the nearest tenth of a year, it will take a $5000 investment to double if it is invested at 7% interest compounded quarterly.
Click here to see answer by Alwayscheerful(414) About Me 

Question 37857: Memphis, Tennesse, is growing ata rate of 0.36% per year. Find how long, to the nearest tenth of a year it will take an initial population of 650,000 to increase to 700,000. Use the population growth formula y = ybase0e^kt. The answer is 20.6 years, I just don't know how to get to it.
Click here to see answer by fractalier(6550) About Me 

Question 37814: Mephis, Tennessee, is growing ata rate of 0.36% per year. Find how long, to the nearest tenth of a year it will take an initial population of 650,000 to increase to 700,000. Use the population growth formula y= y0e^kt
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Question 37806: At Gwen's garage sale, all books were one price and all magazines were another price. Harriet bought four books and hree magazines for $1.45 and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a magazine?
Thank U:)

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