Solve the problem.
-$\$ 1600$ is deposited in an account with an interest rate of $\mathrm{r} \%$ per year, compounded monthly. At the end of 8 years, the balance in the account is given by $A=1600\left(1+\frac{r}{1200}\right)^{96}$. Find the rate of change of A with respect to $\mathrm{r}$ when $\mathrm{r}=10$.
A) $\frac{\mathrm{dA}}{\mathrm{dr}}=283.93$
B) $\frac{\mathrm{dA}}{\mathrm{dr}}=129.07$
C) $\frac{\mathrm{dA}}{\mathrm{dr}}=130.14$
D) $\frac{\mathrm{dA}}{\mathrm{dr}}=281.58$

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The Answer of Solve the problem.
-$\$ 1600$ is deposited in an account with an interest rate of $\mathrm{r} \%$ per year, compounded monthly. At the end of 8 years, the balance in the account is given by $A=1600\left(1+\frac{r}{1200}\right)^{96}$. Find the rate of change of A with respect to $\mathrm{r}$ when $\mathrm{r}=10$.
A) $\frac{\mathrm{dA}}{\mathrm{dr}}=283.93$
B) $\frac{\mathrm{dA}}{\mathrm{dr}}=129.07$
C) $\frac{\mathrm{dA}}{\mathrm{dr}}=130.14$
D) $\frac{\mathrm{dA}}{\mathrm{dr}}=281.58$

Solve the Problem $1600\$ 1600$1600 Is Deposited in an Account with an Interest Rate Of Account

Solve the Problem $\$ 1600$ Is Deposited in an Account with an Interest Rate Of Account