Answer
(a) Annually $\approx \$768.05$
(b) Semiannually $\approx\$769.22$
(c) Quarterly $\approx\$769.82$
(d) Continuously $\approx\$770.41$
Work Step by Step
*A quick review* For Compound Interest we have the following formula (Also explained in previous chapters): $A = P(1+\frac{r}{n})^{nt}$
$n$ - amount of interest compounded per year
$t$ - number of years
$r$ - interest rate per year
$P$ - principal
$A$ - amount of money after t years
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(a) For an annual compound we have: $A=600(1+\frac{0.025}{1})^{1\times10} \approx \$768.05 $
(b) For a semiannual compound we have the interest compounded $2$ times per year. So we have the following: $A=600(1+\frac{0.025}{2})^{2\times10}=600(1+\frac{0.025}{2})^{20}\approx\$769.22$
(c) In this case we have the interest compounded $4$ times per year, so we have: $A=600(1+\frac{0.025}{4})^{4\times10}=600(1+\frac{0.025}{4})^{40}\approx\$769.82$
(d) For continuously compounded interest we have another formula: $A=Pe^{rt}=600e^{0.025\times10}=600e^{0.25}\approx\$770.41$