(All Steps) Compound interest: You deposit $1000 in an account with an annual interest rate of r (in decimal form) compounded monthly. At the end of 5 years,


Question: Compound interest: You deposit $1000 in an account with an annual interest rate of r (in decimal form) compounded monthly. At the end of 5 years, the balance is

\(A=1000\left(1+\frac{r}{12}\right)^{60}\)

Find the rate of change of A with respect to r when (a) r = 0.08, (b) r = 0.10, and (c) r = 0.12.

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