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

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Question 416685: Pat is paid time and a half for each hour he works over 36 hours in a week. last week he worked 42 hours for a total of $ 472.50. what is his normal hourly rate.
thank tou
Click here to see answer by stanbon(57387)

Question 417159: If carol has a check for $1350. 1/5 of her check will go to rent. How much is she paying in rent?
Click here to see answer by rfer(12670)

Question 417338: A family invested $10,000 at 8% annual interest. How much additional money must be invested at 9% to obtain a return of 8.2% on the total amount invested?
Click here to see answer by mananth(12270)

Question 417466: A woman invested 4 times as much at 5% as she did at 6%. The total amount of interest she earns in 1 year from both accounts is $520. How much did she invest at each rate?
Click here to see answer by josmiceli(9697)

Question 417416: simple interest for 12 months on $4,500.00 annual percentage rate
Click here to see answer by rfer(12670)

Question 417486: You deposited $5000 in a savings account that has a rate of 11÷ The interest is compounded quarterly. How much money you will have after 9 years?
Click here to see answer by stanbon(57387)

Question 417549: A retailer buys a batch of 50 items of a product for 10 000 €. He then sets a price so that the
selling price is 80 % higher than the buying price. When there is 40 % left of the batch, the
retailer lowers the price and manages to sell off the rest for a reduced selling price of
171 €/item.
a) Calculate the discount percentage relative to the initial selling price.
b) Calculate the profit percentage for the whole batch.
Give your answers with an accuracy of one decimal.
.
.
I TRIED IT THIS WAY
Let's resume what he did.
he bought 50 items for 10000€ means 1 item for 200€
when he set the selling price, it was 200*1.80 = 360€ for one item.
60% out of 50 items were sold by 360€/item...that gives us 360*30items = 10800€.
40% that is 20 items were sold by 171€*20 = 3420€.
a)
the discount percentage relative to the initial selling price: is the discount from 200€/item to 171€/item
200€-----------100%
171€-----------x%
x% = 85.5%
The discount is 100%-85.5%= 14.5%
b)
10800€+3420€ = 14220€ for the whole batch
that's:
10000€-------100%
14220€-------y%
y% = 142.2%
the profit percentage for the whole batch is 42.2% ?
Click here to see answer by MathLover1(6638)

Question 418542: The number of Facebook members from the start of 2006 to mid-2008 can be approximated by
S(t) = 15t2 − 76t + 101 million members (2 ≤ t ≤ 4.5)
in year t (t = 0 represents the start of 2004).
[Source: www.facebook.com/, http://insidehighered.com (Some data are interpolated.)]
(a) Compute S'(t).
S'(t) =
1
According to the model, how fast was Facebook membership changing at the start of 2008 (t = 4)? (Be careful to give correct units of measurement.)
S'(4) = 2 million members per year

Click here to see answer by richard1234(5390)

Question 418647: Income of a Nurse Sharyn worked as a Registered Nurse last summer. The first week she was there she worked a total of 23 hours at the hospital. She was paid $13.50 an hour for the day shift and $16.50 an hour for the night shift work. She earned $352.50 for her first week of work. How many hours did she work on the day shift? How many hours did she work on the night shift?
Click here to see answer by ewatrrr(10682)

Question 418767: How much would $600 invested at 8% interest compounded continuously be worth after 3 years? Round your answer to the nearest cent. Do not include units in your answer.

Click here to see answer by ewatrrr(10682)

Question 418862: Solve the following using a system of equations:
Marcy has a total of 100 dimes and quarters. If the total value of the coins is $14.05, how many quarters and how many dimes does she have?
Click here to see answer by josmiceli(9697)

Question 419077: Dave Horn invested half of his money at 5%, one-tird of his money at4%, and the rest at 3.5%. If his total annual investment incomw is $530, how much had he invested?
Click here to see answer by mananth(12270)

Question 419130: Your grandmother leaves you $500,000 trust fund. During your years in college, you are allowed to live off the interest. What is your monthly income, if the going rate is 9.25%?
Click here to see answer by mananth(12270)

Question 419224: Don, an office equipment sales representative, earns a weekly salary plus a commission on his sales. On week his total comensation( weekly salary +commission amount) on sales of $4000was $660. The next week his total compensation on sales of $6000 was $740. Find Don's weekly salary and his commission rate.
Click here to see answer by duckness73(43)

Question 419618: how long does it take $50 to grow to $200 invested at 4% compounded monthly
Click here to see answer by nerdybill(6963)

Question 419783: if i had invested 9000 pounds in a bank 25 years ago how much would i have today.
Click here to see answer by stanbon(57387)

Question 420059: What is a scale factor???
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Question 420185: If the sum of the three consecutive number is 12 and x is represents the smallest number, what is the value of x?
pls answer this with complete solution.
Click here to see answer by algebrahouse.com(1079)

Question 420192: this is the word problem. Crista makes an investment at 3% simple interest. at the end of one year, the total value of investment is $2472. how much was originally invested?
Click here to see answer by josmiceli(9697)

Question 420195: this is the word problem. juliet has a choice between recieving an $1800 monthly salary or a base salary of $1600 plus a 4% commission on the sales she has during the month. for what amount of sales will the two choices be equal?
Click here to see answer by mananth(12270)

Question 420200: jonathan invested a total of $3200, part at 4% simple interest and part at 5% simple interest. at the end of 1 year, the investments earned $145 interest. how much was invested at each rate?
Click here to see answer by mananth(12270)

Question 420261: A movie theater sells children's tickets for $7.00 and adult tickets for $9.00. The theater sold 120 tickets and earned $1,000.00. How many of each ticket did the theater sell?

Click here to see answer by mananth(12270)

Question 420329: harry spends 1/3 of his monthly income on rent. he earns 1,560 per month. how much does he pay for rent?
Click here to see answer by algebrahouse.com(1079)

Question 420794: find the balance if $15,000 is invested at an annual rate of 10% for 5 years, compounded continuously.
Click here to see answer by rfer(12670)

Question 421037: I need your help with this word problem!
How much money will there be in an account at the end of 9 years if $12000 is deposited at a 6.5% annual rate that is compounded continuously? (Assume no withdraws are made.)
The amount after 9 years will be $________.
(Round to the nearest cent.)
Click here to see answer by rfer(12670)

Question 421087: helen weller invested $ 11,000 in an account that pays 12% simple interest. How much additional money must be invested in an account that pays 15% simple interest so that the total interest is equal to the interest on the two investments at the rate of 13%.
Click here to see answer by josmiceli(9697)

Question 421106: If I wanted to have $150000.00 when I retire in 10 years and I'm investing into a high yield bond that pays 7% compounded annually, what do I have to invest today to achieve my goal?
can someone tell me the formula to solve the equation?
Click here to see answer by mananth(12270)

Question 421268: How much money will there be in an account at the end of 8 years if $5,000 is deposited at a 5.5% annual rate that is compounded continuously? (Assume no withdrawals made.)
The amount after 8 years will be___________.
(Rounded to the nearest cent.)
Click here to see answer by rfer(12670)

Question 421269: if you have 1200 dollars in a bank and after 3 years you receive 180 dollars from interest what is the interest rate
Click here to see answer by rfer(12670)

Question 421766: During one year, the Ewells real estate bill included $506 fir city services. The sanitation department received 24% of that amount. How much money went to the sanitation department?
Click here to see answer by rfer(12670)

Question 421774: Hertz car rental agency charges $25 daily plus $.10 per mile. Budet charges $20 daily plus $.20 per mile. Find the daily mileage for which the Budget charge is equal to the Hertz charge. (Please can u show me how to do this step by step using the substitution method?)
Click here to see answer by mananth(12270)

Question 421938: an air conditioner is priced 1480 nakfa. find the net price after a discount of 25%
Click here to see answer by shree840(260)

Question 421996: A lady sold two types of pastries at the town's bake sale. Plain pastries were 35 cents each and fruit filled pastries were 45 cents each. She sold 500 pastries total. How many plain pastries did she sell if she earned $205.50?
Click here to see answer by shree840(260)

Question 422144: Mr javier's two students loans total $9000.one loan is at5% simple interest and the other is 6 % simple interest. At the end of the year, Mr Javier owes $492 in interest,what is the amount of each loan?
Click here to see answer by stanbon(57387)

Question 422133: A student invested $5000 in two different savings accounts. The first account pays an annual interest rate of 3%. The second account pays an annual interest rate of 4%. At the end of the year, she had earned $185 in interest. How much money did she invest in each account?
Click here to see answer by mananth(12270)

Question 422250: Ariel receives $32.00 for working a full day How much can she get working 3/8 of a day
Click here to see answer by algebrahouse.com(1079)

Question 422268: Question 1
Find the amount that results from the investment.
$480 invested at 8% compounded quarterly after a period of 3 years
Question 1
a. $604.66
b. $608.76
c. $596.82
d. $128.76
Question 2
Find the amount that results from the investment.
$1,000 invested at 9% compounded semiannually after a period of 9 years
a. $2113.38
b. $2171.89
c. $2208.48
d. $1208.48
Question 3
Solve the problem.
If Emery has $2000 to invest at 9% per year compounded monthly, how long will it be before he has $3200? If the compounding is continuous, how long will it be? (Round your answers to three decimal places.)
a. 0.454 yr, 0.435 yr
b. 0.07 yr, 0.522 yr
c. 69.442 yr, 5.444 yr
d. 5.242 yr, 5.222 yr
Question 4
Solve the problem.
Suppose that is invested at an interest rate of per year, compounded continuously. What is the balance after 3 years?
Question 4 answers
a. $6014.68
b. $5280.00
c. $5914.68
d. $5840.00
Question 5
Find the effective rate of interest.
8.75% compounded monthly
a. 8.955%
b. 9.11%
c. 9.655%
d. 8.873%
Question 6
Solve the problem.
Larry has $3000 to invest and needs $3400 in 13 years. What annual rate of return will he need to get in order to accomplish his goal? (Round your answer to two decimals.)
a. 3.44%
b. 0.96%
c. 1.44%
d. 2.44%
Question 7
Find the effective rate of interest.

a. 5.75%
b. 4.75%
c. 4.84%
d. 4.42%
Question 8
Find the present value. Round to the nearest cent.
To get $25,000 after 3 years at 4% compounded semiannually
a. $22,224.91
b. $22,643.27
c. $2800.72
d. $22,199.28
Question 9
Find the present value. Round to the nearest cent.
To get $6500 after 9 years at 4% compounded quarterly
a. $4588.44
b. $4566.81
c. $1956.99
d. $4543.01
Question 10
Find the present value. Round to the nearest cent.
To get $6500 after 4 years at 10% compounded quarterly
a. $4488.03
b. $2121.44
c. $4378.56
d. $4439.59
Question 11 text
Solve the problem. Round your answer to three decimals.
What annual rate of interest is required to double an investment in 5 years?
a. 14.87%
b. 24.573%
c. 13.863%
d. 7.435%
Question 12 text
Solve the problem. Round your answer to three decimals.
How long will it take for an investment to double in value if it earns 4.5% compounded continuously?
a. 7.702 yr
b. 16.653 yr
c. 15.403 yr
d. 24.414 yr
Question 13 text
Find the amount that results from the investment.
$1,000 invested at 11% compounded semiannually after a period of 6 years
a. $1901.21
b. $1802.09
c. $1870.41
d. $901.21
Question 14 text
Find the effective rate of interest.
6% compounded monthly
a. 6.25%
b. 6.39%
c. 6.43%
d. 6.29%
Question 15 text
Find the effective rate of interest.
12.3% compounded continuously
a. 12.751%
b. 12.389%
c. 12.674%
d. 13.088%
Click here to see answer by shree840(260)

Question 422524: Jill paid $0.40 for a ticket to a ride. How many ways could she have paid for the ride if she had pennies, nickels, dimes, and quarters available?
Click here to see answer by Edwin McCravy(8911)

Question 422871: hOW MUCH MONEY WOULD YOU NEED EARNING 4% TO GENERATE 3500.00 MONTHLY?
Click here to see answer by rfer(12670)

Question 422855: if I invest 28,000 dollars @ 6.5% for 9 years how much would i have after 9 years.
Click here to see answer by rfer(12670)

Question 423416: I am 30 years old and want to retire at age 60. I want to be able to collect $60,000 a year for 20 years. At 5% interest, how much money do I need to invest today to be able to collect $60,000 for 20 years by the time I reach 60?
Thank you in advance for any help and/or consideration. This one is really stumping me because I do not even know what formula to use.
Click here to see answer by Theo(3464)

Question 423771: A Sportsman earns a 7% raise. A year later, the sportsman receives a 3.5% cut in pay, & now he earns Rs. 55478.9115 Can you tell me how much the sportsman was earning before?
Click here to see answer by mananth(12270)

Question 423950: maria deposited $1300 in a savings account that earns 7% interest compounded annually. Let p (t) be the balance in teh account after t years
1- Write an equation for the function P?
2- What is the balance in marias account agter 12 years?
3- How many yeas will it take teh account to be worth %6500?
Click here to see answer by linht117(37)

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