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Sagot :
ANSWER
$819.75
EXPLANATION
The amount that she earned doing odd jobs (which she put in the savings acount) is called the Principal.
The savings was compounded monthly at a rate, R, of 5% for 4 years and the amount in the account is $1,000.
The formula for quarterly compounded amount is:
[tex]A\text{ = P(1 + }\frac{R}{4})^{4t}[/tex]where A = final amount of savings = $1000
P = prinicipal
R = rate = 5% = 0.05
t = number of years = 4
We need to solve for P. We have that:
[tex]\begin{gathered} 1000\text{ = P(1 + }\frac{0.05}{4})^{4\cdot\text{ 4}} \\ 1000\text{ = P(1 + }0.0125)^{16} \\ 1000=P(1.0125)^{16}\text{ = P }\cdot\text{ 1.22} \\ \text{Divide both sides by 1.22:} \\ P\text{ = }\frac{1000}{1.22} \\ P\text{ = \$819.75} \end{gathered}[/tex]Sasha earned $819.75 doing odd jobs.
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