Answer
a) $\$ 1270.24$
b) $\$ 1271.01$
c) $\$ 1271.22$
Work Step by Step
(a) The nominal interest rate is $8 \%$, so the interest rate per month is $0.08 / 12$. Therefore, at the end of 3 years is
Balance
$$S= 1000\left(1+\frac{0.08}{12}\right)^{36}=\$ 1270.24$$
(b) There are 52 weeks in a year, so the interest rate per week is $0.08 / 52$. At the end of $52 \times 3=156$ weeks.
$$S= 1000\left(1+\frac{0.08}{52}\right)^{156}=\$ 1271.01$$
(c) The interest rate per day is $0.08 / 365$. At the end of $3 \times 365= 1095$ days
$$S= 1000\left(1+\frac{0.08}{365}\right)^{1095}=\$ 1271.22$$
