Rosa Burnett needs $6,000 in three years to make the down payment on a new car. How much must she invest today if she receives 2.5% interest annually,compounded annually?Click the icon to view the present value of $1.00 table.She must invest $(Round to the nearest cent as needed.) Rate per periodPeriods4%5%6%8%10%12%0.5%0.99502 0.99010 0.98522 0.98039 0.97561 0.97087 0.96154 0.95238 0.94340 0.92593 0.90909 0.892860.99007 0.98030 0.97066 0.96117 0.95181 0.94260 0.92456 0.90703 0.89000 0.85734 0.82645 0.797190.98515 0.97059 0.95632 0.94232 0.92860 0.91514 0.88900 0.86384 0.83962 0.79383 0.75131 0.711780.98025 0.96098 0.94218 0.92385 0,90595 0.88849 0.85480 0.82270 0.79209 0.73503 0.68301 0.635520.97537 0.95147 0.92826 0.90573 0.88385 0.86261 0.82193 0.78353 0.74726 0.68058 0.62092 0.567430.97052 0.94205 0.91454 0.88797 0.86230 0.83748 0.79031 0.74622 0.70496 0.63017 0.56447 0.506630.96569 0.93272 0.90103 0.87056 0.84127 0.81309 0.75992 0.71068 0.66506 0.58349 0.51316 0.452350.96089 0.92348 0.88771 0.85349 0.82075 0.78941 0.73069 0.67684 0.62741 0.54027 0.46651 0.403880.95610 0.91434 0.87459 0.83676 0,80073 0.76642 0.70259 0.64461 0.59190 0.50025 0.42410 0.360610.95135 0.90529 0.86167 0.82035 0.78120 0.74409 0.67556 0.61391 0.55839 0.46319 0.38554 0.321970.94661 0.89632 0.84893 0.80426 0.76214 0.72242 0.64958 0.58468 0.52679 0.42888 0.35049 0.287480.94191 0.88745 0.83639 0.78849 0.74356 0.70138 0.62460 0.55684 0.49697 0.39711 0.31863 0.256680.93722 0.87866 0.82403 0.77303 0.72542 0.68095 0.60057 0.53032 0.46884 0.36770 0.28966 0.229170.93256 0.86996 0.81185 0.75788 0.70773 0.66112 0.57748 0.50507 0.44230 0.34046 0.26333 0.204620.92792 0.86135 0.79985 0.74301 0.69047 0.64186 0.55526 0.48102 0.41727 0.31524 0.23939 0.182700.92330 0.85282 0.78803 0.72845 0.67362 0.62317 0.53391 0.45811 0.39365 0.29189 0.21763 0.163121%1.5%2%2.5%3%1234.6.7810111213141516

Rosa Burnett needs $6,000 in three years to make the down payment on a new car. How much must she invest today if she receives 2.5% interest annually, compounded annually? Click the icon to view the present value of $1.00 table. She must invest $. (Round to the nearest cent as needed.)

Rosa Burnett needs $6,000 in three years to make the down payment on a new car. How much must she invest today if she receives 2.5% interest annually, compounded annually? Click the icon to view the present value of $1.00 table. She must invest $. (Round to the nearest cent as needed.)

Financial Accounting Intro Concepts Meth/Uses

14th Edition

ISBN:9781285595047

Author:Weil

Publisher:Weil

ChapterA: Appendix - Time Value Of Cash Flows: Compound Interest Concepts And Applications

Section: Chapter Questions

Problem 11E

See similar textbooks

Related questions

Q: Kim is shopping for a car. She will finance $12,000 through a lender. The table to the right shows…

A: A loan refers to a contract where money is borrowed by one party on the promise of future repayment…

Q: Tony Ring wants to attend Northeast College. He will need $50,000 6 years from today. Assume Tony's…

A: We need to use compound interest formula below to calculate principal deposit today to get desired…

Q: Can you show me how this is done? Ava Darling plans to buy a home and can deposit $1,703 per…

A: The expected down payment will be equal to the future value of the 5 annual deposits.

Q: f you desire to have $15,000 for a down payment for a house in five years, what amount would you…

A: Please note that the factor values tables are not attached in the question. The factors can be…

Q: Tanya wants to be able to withdraw $7000 at the end of 7 years and $9000 at the end of 8 years. If…

A: Present value is the value of future cashflow discounted to present date at specified rate. formula:…

Q: Callie won a grand prize of $40,000. She has decided to invest it today in an account from the…

A: The Present Value of Ordinary Annuity refers to the concept which gives out the discounted or…

Q: Susanna wants to purchase a house costing $212,286. She plans to put $51,874 toward a down payment…

A: Cost of house = $ 212,286 Down payment = $ 51,874 Mortgage amount (PV) = 212286-51874 = $ 160412…

Q: Ingrid wants to buy a $16,000 car in 8 years. How much money must she deposit at the end of each…

A: Solution:-When an equal amount is deposited each period at end of period, it is called ordinary…

Q: Kristy Joe deposits $130 each month in an ordinary annuity to save for a new car. If the annuity…

A: The future value of the investment is computed to find total saving can be made for the new car.…

Q: Rebecca Carlson purchases a car for $25,000 and finances her purchase by borrowing the money at 8%…

A: Equated Monthly Installments is one part of the equally divided monthly outgoes to clear off an…

Q: You need $15,000 to purchase a used car. Your wealthy uncle is willing to lend you the money as an…

A: We need to use loan amortization formula to calculate annual payment of loan.wherePMT = Annual…

Q: Kate Rose is setting up an annuity for a memorial scholarship. What lump sum does she need to set…

A: Information Provided: Interest rate = 7% Annual payments = $3000 Term = 10 years

Q: Pat Lavoie bought a home for $180,000 with a down payment of $10,000. Her rate of interest is 6% for…

A: The amount that must be paid toward the loan each month in order to completely repay it within the…

Question

Rosa Burnett needs $6,000 in three years to make the down payment on a new car. How much must she invest today if she receives 2.5% interest annually,
compounded annually?
Click the icon to view the present value of $1.00 table.
She must invest $
(Round to the nearest cent as needed.)

Rate per period
Periods
4%
5%
6%
8%
10%
12%
0.5%
0.99502 0.99010 0.98522 0.98039 0.97561 0.97087 0.96154 0.95238 0.94340 0.92593 0.90909 0.89286
0.99007 0.98030 0.97066 0.96117 0.95181 0.94260 0.92456 0.90703 0.89000 0.85734 0.82645 0.79719
0.98515 0.97059 0.95632 0.94232 0.92860 0.91514 0.88900 0.86384 0.83962 0.79383 0.75131 0.71178
0.98025 0.96098 0.94218 0.92385 0,90595 0.88849 0.85480 0.82270 0.79209 0.73503 0.68301 0.63552
0.97537 0.95147 0.92826 0.90573 0.88385 0.86261 0.82193 0.78353 0.74726 0.68058 0.62092 0.56743
0.97052 0.94205 0.91454 0.88797 0.86230 0.83748 0.79031 0.74622 0.70496 0.63017 0.56447 0.50663
0.96569 0.93272 0.90103 0.87056 0.84127 0.81309 0.75992 0.71068 0.66506 0.58349 0.51316 0.45235
0.96089 0.92348 0.88771 0.85349 0.82075 0.78941 0.73069 0.67684 0.62741 0.54027 0.46651 0.40388
0.95610 0.91434 0.87459 0.83676 0,80073 0.76642 0.70259 0.64461 0.59190 0.50025 0.42410 0.36061
0.95135 0.90529 0.86167 0.82035 0.78120 0.74409 0.67556 0.61391 0.55839 0.46319 0.38554 0.32197
0.94661 0.89632 0.84893 0.80426 0.76214 0.72242 0.64958 0.58468 0.52679 0.42888 0.35049 0.28748
0.94191 0.88745 0.83639 0.78849 0.74356 0.70138 0.62460 0.55684 0.49697 0.39711 0.31863 0.25668
0.93722 0.87866 0.82403 0.77303 0.72542 0.68095 0.60057 0.53032 0.46884 0.36770 0.28966 0.22917
0.93256 0.86996 0.81185 0.75788 0.70773 0.66112 0.57748 0.50507 0.44230 0.34046 0.26333 0.20462
0.92792 0.86135 0.79985 0.74301 0.69047 0.64186 0.55526 0.48102 0.41727 0.31524 0.23939 0.18270
0.92330 0.85282 0.78803 0.72845 0.67362 0.62317 0.53391 0.45811 0.39365 0.29189 0.21763 0.16312
1%
1.5%
2%
2.5%
3%
1
2
3
4.
6.
7
8
10
11
12
13
14
15
16

Expert Solution

Step 1

Workings:

$\begin{array}{rcl} A m o u n t r e q u i r e d & = & P r i n c i p a l \times {(1 + r a t e)}^{t i m e} \\ $ 6, 000 & = & P r i n c i p a l \times {(1 + 0.025)}^{3} \\ $ 6, 000 & = & P r i n c i p a l \times 1.0769 \\ P r i n c i p a l & = & \frac{$ 6, 000}{1.0769} \\ = & $ 5, 572 \end{array}$

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, accounting and related others by exploring similar questions and additional content below.

Similar questions

Ingrid wants to buy a $17,000 car in 8 years. How much money must she deposit at the end of each quarter in an account paying 5.3% compounded quarterly so that she will have enough to pay for her car? How much money must she deposit at the end of each quarter? $ (Do not round until the final answer. Then round to the nearest cent as needed.)
K. Tanja wants to establish an account that will supplement her retirement income beginning 30 years from now. Find the lump sum she must deposit today so that $400,000 will be available at time of retirement, if the interest rate is 10%, compounded quarterly. How much must Tanja invest? P= (Round to the nearest cent as needed.)
Tanja wants to establish an account that will supplement her retirement income beginning 25 years from now. Find the lump sum she must deposit today so that $600,000 will be available at time of retirement, if the interest rate is 6%, compounded quarterly. How much must Tanja invest? P=$ (Round to the nearest cent as needed.)
Ms. H wants to save $1500 over the next two years to use as a down payment on a new car. If her bank offers her 5%interest, what monthly payment would she need to put into an ordinary annuity in order to reach her goal? Round to thenearest cent.
Amanda is going to invest to help with a down payment on a home. How much would she have to invest to have $23,400 after 9 years, assuming an interest rate of 1.79% compounded annually? Do not round any intermediate computations, and round your final answer to the nearest dollar. If necessary, refer to the list of financial formulas.
How do I solve this problem: Suze Orman wants to pay $1500 semiannually to her granddaughter for 10 years for helping her around the house. If Suze can invest money at 6% compounded quarterly, how much must she invest today to meet this goal?
Carol wants to invest money in an investment account paying 10% interest compounding semi-annually. Carol would like the account to have a balance of $53,000 three years from now. How much must Carol deposit to accomplish her goal? Note: Use tables, Excel, or a financial calculator. Round your final answer to the nearest whole dollar. (FV of $1, PV of $1, FVA of $1, and PVA of $1).
Holly Krech is planning for her retirement, so she is setting up a payout annuity with her bank. She wishes to receive a payout of $1,900 per month for twenty years. (a) How much money must she deposit if her money earns 7.8% interest compounded monthly? (Round your answer to the nearest cent.)___________ $ (b) Find the total amount that Holly will receive from her payout annuity. Thank you!
The Fergusons want to purchase their first home and need $14,300 for a down payment. They can save $1,025 per quarter. If they deposit this amount in an account paying 3% interest compounded quarterly, how long will it be before they can purchase a home? (Solution should be entered in years accurate to the hundredths decimal place)
Rosie is buying a car for $25,500; She is Scheduled to make 7 annual instalments. Given an interest rate of 8%, what is the annual payment? (can you also show me the formula that you are using thanks)
Carol wants to invest money in an investment account paying 6% interest compounding semi-annually. Carol would like the account to have a balance of $53,000 four years from now. How much must Carol deposit to accomplish her goal? Note: Use tables, Excel, or a financial calculator. Round your final answer to the nearest whole dollar. (FV of $1, PV of $1, FVA of $1, and PVA of $1).
Ingrid wants to buy a $20,000 car in 8 years. How much money must she deposit at the end of each quarter in an account paying 5.5% compounded quarterly so that she will have enough to pay for her car? How much money must she deposit at the end of each quarter? $ (Round to the nearest cent as needed.)