Respuesta :
WE know, compound interest is given by :
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
Here, P is principle amount.
r is annual interest rate.
n, number of times that interest is compounded per unit t .
t, time the money is invested or borrowed for.
To Find :
How much more money would Isabella have in her account than Gabriel, to the nearest dollar.
Solution :
[tex]D = P(1 + \frac{r_1}{n})^{nt}- P(1 + \frac{r_2}{n})^{nt}\\\\D = 77000\times ( 1 + \dfrac{33}{8\times 12})^{12\times 6}-77000\times ( 1 + \dfrac{7}{2\times 12})^{12\times 6}\\\\D = \$(1.257\times 10^{14})[/tex]
Hence, this is the required solution.
