SOLUTION: If the compound interest formula is solved for a, we get a equals StartFraction y Over left-parenthesis 1 plus n right-parenthesis Superscript t EndFraction where a is the a

Algebra.Com
Question 1069261: If the compound interest formula is solved for a, we get
a equals StartFraction y Over left-parenthesis 1 plus n right-parenthesis Superscript t EndFraction
where a is the amount that must be deposited now at interest rate n to produce an amount y in t years. How much money would have to be invested at 7.5% per year to accumulate to $10000 in 13 years?
Round to the nearest dollar.

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
I agree that with
= final balance,
= amount initially deposited/invested,
= annual yield (as a decimal),
= number of years,
the relationship between those variables is
or .

In this case, because the yield per year is

All you have to do is substitute the values for , , and :
a ===
NOTE: The values and are rounded,
and I used help from the computer to calculate the final result,
with the computer doing its best to calculate and accurately,
and properly rounding the results for display purposes.

RELATED QUESTIONS

Use the compound interest formula Upper A equals Upper P left parenthesis 1 plus r right... (answered by ikleyn)
Use the formula for compound interest to find A. A​ = Left parenthesis 1 plus r... (answered by Theo)
Physics: Pendulum. The period left-parenthesis Upper T ⁢ right-parenthesis of a... (answered by fractalier)
Future Value of an Annuity: F equals R cross times fraction numerator left square... (answered by ikleyn)
Consider the equation: 5000 equals 1000 left parenthesis 1 plus r right parenthesis to... (answered by Alan3354)
Choose the best description for the model y equals StartFraction kg Over b squared... (answered by greenestamps)
Write a​ slope-intercept equation for a line passing through the point left... (answered by Boreal)
Write aslope-intercept equation for a line passing through the point left parenthesis 4... (answered by josgarithmetic)
What is the amplitude of y=3\sin(2x-1)+4y=3sin(2x−1)+4y, equals, 3, sine, left... (answered by ikleyn)