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

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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
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1.5%
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3%
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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}$

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