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

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Question 1111686: Suppose your friends parents invest $15,000 in an account paying 6% compounded annually. what will the balance be after eight years?
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Question 1111653: (Simultaneous equations problems)
If Jeff hires 8 bricklayers and 2 roofers, his daily payroll is $1260. If he hires 10 bricklayers and 5 roofers, his daily payroll is $1950. What is the daily wage of each bricklayer and each roofer?

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Question 1111640: 10. You want to buy a $171,000 home. You plan to pay 15% as a down payment, and take out a 30 year loan at 5.35% interest for the rest.
a) How much is the loan amount going to be?

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Question 1111678: Dave earns $228 interest over a 3 year period with a 9.5% interest rate. How much did he deposit in principal?

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Question 1111723: You want to buy a $242,000 home. You plan to pay 10% as a down payment, and take out a 30 year loan at 5.45% interest for the rest.
a) How much is the loan amount going to be? (my answer is 217800)
b) What will your monthly payments be? (my answer is 1229.8)
c) How much total interest do you pay?
d) Suppose you want to pay off the loan in 15 years rather than 30. What will your monthly payment be?
e) How much money in interest will you save if you finance for 15 years instead of 30 years?
Can you help me the rest?

Click here to see answer by greenestamps(13198) About Me 

Question 1111729: Mr. Jones has $25,000 to invest. he invests part at 8% and the rest at 9%. if he earns $2,120 in interest after 1 year, how much did he invest at each rate?

Click here to see answer by ikleyn(52776) About Me 

Question 1111691: Angelina Rogers was looking at different simple discount notes available to her. She found a note that would cost her $135 in interest at 8% for 60 days. What was the face value?
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Question 1111699: The Treasury Department auctioned $21 billion in three-month bills in denominations of ten thousand dollars at a
discount rate of 4.965%, according to the March 13, 2007, issue of the Chicago Sun-Times. What would be the effective rate of interest? Round your answer to the nearest hundredth percent.

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Question 1111779: Andy has 17 coins made up of quarters and half dollars, and their total value is $4.75. How many quarters does he have?
Click here to see answer by josgarithmetic(39616) About Me 

Question 1111815: If the population of a Fantasy Island is growing at 2% per year and if its population in the year 2006 was 2,200,000.

a. Determine an exponential equation representing its population as a function of time.
b. Determine its population in 2020.
c. Determine what was its population in 2004.

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Question 1111818: i. If the profit derived from producing x hundred units of a commodity is P = 4000(x − 2)(15 − x) dollars. a. Find P’(x).
b. Determine the level of output at which P’(x) = 0.
c. What is the economic significance of the level of production determined in part (b) above?

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Question 1111817: A farmer has 300 square metres of land suitable for cultivating the crops baigan, bodi, and pumpkin. The cost per square metre of cultivating baigan, bodi, and pumpkin is $20, $60, and $70, respectively. The farmer has $13,350 available for land cultivation. Each square metre of baigan requires 10 hours of labour time, each square metre of bodi requires 35 hours, and each square metre of pumpkin requires 30 hours. The farmer has a maximum of 6525 hours of labour time available. If he desires to plant his entire plot of land, use the entire budget, and all the labour time available:

a. Derive a system of three equations in x, y and z, where x is the number of square metres of baigan, y is the number of square metres of bodi, and z is the number of square metres of pumpkin planted.
18

b. Use the inverse method to derive, how many square metres of each crop should he plant?


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Question 1111882: Barry works as a car salesperson. In a week, he earns $180.00 plus 3.8% of the value of any car he sells. In one week of work, he sells one car for $15 000 and another for $12 999. What does Barry earn in that week?

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Question 1111897: linda invested some money for one year in bonds that pay 8% simple interest and three times as much in preferred stock that earns 11% simple interest. if the total interest earned from the two investments was $1640, how much was invested in the bonds?
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Question 1111897: linda invested some money for one year in bonds that pay 8% simple interest and three times as much in preferred stock that earns 11% simple interest. if the total interest earned from the two investments was $1640, how much was invested in the bonds?
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Question 1111903: if the simple interest on $1800 exceeds the interest on $1650 in 3 years by $45, find the rate of interest.
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Question 1111945: a man had $2,500 invested in a mutual fund which netted 2.5% profit for the last year. He also had $5,200 invested in a bond fund. What percent yearly profit would be needed by the bond fund in order that the combined profit would be 4% of the total investment?
The words have me confused and I can't figure out a formula

Click here to see answer by MathTherapy(10551) About Me 

Question 1111840: If sales at ABC Company was $0.8 million in the first year of operation and is
expected to increase annually at a rate of 6%.How much is sales expected to be in the 8
th year
of operation and what would be the total sales over ABC′
sfirst 10 years in business?
(Give answer in millions to 1 d. p)

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Question 1112018: Marcia has $18,000 to invest in two different investment. she invested $10,000 at 4% yearly interest in one investment. at what rate must she in vest the remainder so that she earns a yearly interest of more then $700?

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Question 1112048: A state’s tax rate is 8%.If you purchase an item for which the tax is $20,what is the item’s cost?
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Question 1112048: A state’s tax rate is 8%.If you purchase an item for which the tax is $20,what is the item’s cost?
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Question 1112120: Alan, Betty, and Cathy each have the same amount of money. How much money should Betty give to Alan and Cathy so that Alan has $5 more than Betty, and Cathy has $1 more than Alan?
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Question 1112185: when equal amounts are invested in each of three accounts paying 8% 9% and 12.5% one years combined interest income is $1,209.50 how much is invested in each account
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Question 1112232: . Katya scored 62, 74, 65, and 87 on her first four maths exams respectively. What score must she obtain on the next exam to have an overall average of 70 or above?
My solution: (288+x)/5 >= 70
288+x >= 350
x >= 62

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Question 1112241: trina has $6000 and is earning 6% annually. how much will she have after 7 years?
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Question 1112267: Jenny agreed to work for $9000 plus a motorcycle. At the end of 5 months, she left the job and received $250 plus the motorcycle for her pay. What was the value of the motorcycle?
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Question 1112278: I have 60% more in the bank than my brother has.
He has $1,250.
How much do I have?
Answer

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Question 1112326: Successive discounts of 12.5% and 5% are allowed on a $1250 table.
A) how much is paid for the table?
B) what single discount is equivalent to these successive discounts?

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Question 1112388: My wants to buy three shirts which were originally priced $49.96 each. The store will discount the price of the third shirt and then apply a 7.1% tax to the total cost of all three shirts. Including the tax ,what will the mean cost of each shirt.

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Question 1112388: My wants to buy three shirts which were originally priced $49.96 each. The store will discount the price of the third shirt and then apply a 7.1% tax to the total cost of all three shirts. Including the tax ,what will the mean cost of each shirt.

Click here to see answer by ikleyn(52776) About Me 

Question 1112473: 1.) A savings account in which people make regular payment amounts to save toward future goals like college or retirement is called an annuity. In the formula below, P is the regular payment amount, n is the number of times that interest is compounded per year (which is also the number of payments made per year), r is the annual interest rate, A is the future value of the annuity, and t is the number of years:
A(t)=P[1+r/n)^nt - 1]/r/n
Megan opens a savings account to pay for her new baby's college education. She deposits $200 every month into the account at an annual interest rate of 4.2% compounded monthly.
a.) Find A(t), the value of Megan's account after t years.
b.) What is the value of Megan's account after 8 years?
c.) What is the rate of change in the value of Megan's account after 8 years?

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Question 1112475: The volume of a cantaloupe is approximated
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Question 1112476: The volume of a cantaloupe is approximated by V= 4/3πr^3. The radius is growing at a rate of 0.7 cm per week when the radius is 7.5 cm. How fast os the volume changing at that moment.
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Question 1112474: Rajesh's temperature T (in degrees Fahrenheit) during a recent illness over the course of t hours is given by T(t)=98.6 + 4t/t^2 +1
a.) Find the rate of change of the temperature with respect to time.
b.) Find the temperature at t=2.
c.) Find the rate of change of the temperature after 2 hours.

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Question 1112513: Emily invested a total of $12,000 in two savings accounts. One account earns 5% simple interest and the other earns 8% simple interest. Find the amount invested in each account account if she receives a total of $840 interest after 1 year
Click here to see answer by ikleyn(52776) About Me 

Question 1112514: The owners of a marina bought 6

canoes to be used as rentals at a cost of ​$400

per canoe. They borrowed 80
​%
of the total cost for 10

months at 7 and one half
​%
interest. Find the amount due using simple interest.

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Question 1112547: Luke buys 7 apples and it costs him $4.66. How much per kilogram do the apples cost if 2 apples are 0.28 kg
Click here to see answer by josgarithmetic(39616) About Me 

Question 1112520: Sydney is buying a car and needs to take out a loan for
$
2
3
,
5
0
0
$23,500. The bank is offering a monthly interest rate of 0.5%, for a 5 year loan. Using the formula below, determine her monthly payment, to the nearest dollar.
M
=
P
r
(
1
+
r
)
n
(
1
+
r
)
n

1
M=
​(1+r)
​n
​​ −1

​Pr(1+r)
​n
​​
​​
M
=
M= the monthly payment
P
=
P= the amount borrowed
r
=
r= the interest rate per month
n
=
n= the number of payments

Click here to see answer by ikleyn(52776) About Me 

Question 1112590: e

A chemical company makes two brands of antifreeze. The first brand is
65
%
pure antifreeze, and the second brand is
90
%
pure antifreeze. In order to obtain
90
gallons of a mixture that contains
75
%
pure antifreeze, how many gallons of each brand of antifreeze must be used?

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Question 1112589: Manuel invested his savings in two investment funds. The amount he invested in Fund A was
$
2000
less than the amount he invested in Fund B. Fund A returned a
5
%
profit and Fund B returned a
7
%
profit. How much did he invest in Fund A, if the total profit from the two funds together was
$
1100
?

Click here to see answer by mananth(16946) About Me 

Question 1112792: Chelea took out three loans for a total of $76,000 to start an organic orchard.
Her business equipment loan was at an interest rate of 11%, the small business loan was at an interest rate of 4%, and her home equity loan was at an interest rate of 5.5%. The total simple interest due on the loans in one year was $4465.
The annual simple interest due on the home equity was $825 more than the interest on the business equipment loan. How much did she borrow from each source?
(Im confused over the 5.5 because when I work out the problem I get a fraction)

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Question 1112914: Carly invested a total of 10,000 into two separate accounts one account pay 6% interest in the other paid 8% interest. If the annual income from both accounts with $650, how much did he have invested in each account
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Question 1112916: For a summer sales job, you are choosing between two pay arrangements: a weekly salary of $200 plus 5% commission on sales, or a straight 9% commission. For how many dollars of sales will the earnings be the same regardless of the pay arrangement?
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Question 1112929: Hannah has $34 to pay a gift for Emma. She found a gift for $30. Does she have enough money if she also has to pay 9% sales tax?
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Question 1112929: Hannah has $34 to pay a gift for Emma. She found a gift for $30. Does she have enough money if she also has to pay 9% sales tax?
Click here to see answer by josgarithmetic(39616) About Me 

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11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 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