Answer:
$ 65.34 ( approx )
Step-by-step explanation:
Since, the amount after getting simple interest is,
[tex]A=P+P\times r\times t[/tex]
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 = [tex]1\frac{3}{4}\%=\frac{7}{4}\%=1.75\% = 0.0175[/tex]
So, the monthly interest = [tex]\frac{0.0175}{12}[/tex]
By substituting the values in the above formula,
[tex]15000=P+P\times \frac{0.0175}{12}\times 3[/tex]
[tex]15000=P+P\times \frac{0.0175}{4}[/tex]
[tex]15000=P+0.004375P[/tex]
[tex]\implies P=\$ 14934.7[/tex]
Hence, the interest she earned is,
[tex]I=14934.7\times \frac{0.0175}{12}\times 3 = \$ 65.3393125\approx \$ 65.34[/tex]
