Answer:
$ 65.34 ( approx )
Step-by-step explanation:
Since, the amount after getting simple interest is,
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Where, P is the principal amount,
r is the rate per period
t is number of periods,
Here, A = $ 1,500,
t = 3 months,
Annual rate = \(1\frac{3}{4}\%=\frac{7}{4}\%=1.75\% = 0.0175\)
So, the monthly interest = \(\frac{0.0175}{12}\)
By substituting the values in the above formula,
\(15000=P+P\times \frac{0.0175}{12}\times 3\)
\(15000=P+P\times \frac{0.0175}{4}\)
\(15000=P+0.004375P\)
\(\implies P=\$ 14934.7\)
Hence, the interest she earned is,
\(I=14934.7\times \frac{0.0175}{12}\times 3 = \$ 65.3393125\approx \$ 65.34\)
