Answer
a. 2166.529;
b. 2189.9;
c. 2201.9;
d. 2210;
e. 2214;
Work Step by Step
a. Annually
$A=P(1 + \frac{r}{m})^{tm}$ = $10.000(1 + \frac{0,04}{1})^{1(5)}\approx 12166.529$
The interest amounts to $12166.529 - 10.000 = 2166.529$
b. Semiannually
$A=P(1 + \frac{r}{m})^{tm}$ = $10.000(1 + \frac{0,04}{2})^{2(5)}\approx 12189.9$
The interest amounts to $12189.9 - 10.000 = 2189.9$
c. Quarterly
$A=P(1 + \frac{r}{m})^{tm}$ = $10.000(1 + \frac{0,04}{4})^{4(5)}\approx 12201.9$
The interest amounts to $12201.9 - 10.000 = 2201.9$
d. Monthly
$A=P(1 + \frac{r}{m})^{tm}$ = $10.000(1 + \frac{0,04}{12})^{12(5)}\approx 12210$
The interest amounts to $12210 - 10.000 = 2210$
e. Continuously
$A=Pe^{rt} = 10.000e^{5(0,04)} \approx 12214$
The interest amounts to $12214 - 10.000 = 2214$
