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Sagot :
To calculate the compound interest is;
[tex]A=P\lbrack1+\frac{r}{n}\rbrack^{nt}[/tex]A is the ending amount
P is the principal
r is the interest rate
n is the number of compoundings a year
T is the time frame
From the question;
P= $200
R=9
Since it is compounded weekly, then n is 52
T=8
substituting into the formula;
[tex]A=200\lbrack1+\frac{9}{52}\rbrack^{52\times8}[/tex]Evaluating;
[tex]A=200\lbrack\frac{52+9}{52}\rbrack^{416}[/tex][tex]A=200\lbrack\frac{61}{52}\rbrack^{416}[/tex][tex]A=200(1.17)^{416}[/tex]A=
[tex]A=2.3\times10^{29}[/tex]T= P+A
[tex]T=200\text{ +( 2.3}\times10^{29)}[/tex][tex]T=2.3\times10^{27}[/tex]
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