$\frac{52}{4}$ points

If $$5000$ is invested in an account earning $5\mathrm{.}75\%$ compounded continuously, the compound amount after $t$ years is

$A(t)=5000e^{\text{e}\text{a}\text{s}\text{t}\text{m}}$

Find and interpret $($ round to nearest cent $)A^{\text{'}}(5)=$$

the accumulated value will $$ by $ $$ after $$ years.

$6$

$\frac{3}{3}$ points