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# If an IRA is a variable-rate investment for 25 years at rate r percent per year, compounded monthly, then the future value S that accumulate

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If an IRA is a variable-rate investment for 25 years at rate r percent per year, compounded monthly, then the future value S that accumulates from an initial investment of $1500 is S = 1500(1+0.01r/12)^300$${\mathtt{1\,500}}{\mathtt{\,\times\,}}{\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{0.01}}{\mathtt{\,\times\,}}{\mathtt{r}}}{{\mathtt{12}}}}\right)}^{{\mathtt{300}}}$$ What is the rate of change of S with respect to r and what does it tell us if the interest rate is as follows? (Round your answers to two decimal places.) (a) 6% (got the answer) Correct: Your answer is correct. If we were to increase the rate by 1%, the future value of the investment would increase by about$ " "?

(b) 12%

If we were to increase the rate by 1%, the future value of the investment would increase by about \$ " "?

" " ? are the questions i dont get

Guest Apr 9, 2015
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