Answer:
Step-by-step explanation:
The principal amount is
P=3000.
The time for which money is borrowed is ,
[tex]t=9 months[/tex]
The interest rate is ,
[tex]R=3\frac{1}{2}[/tex]
Determine the time in terms of year by division of time by 12.
[tex]t=\frac{9}{12} years\\= \frac{3}{4} years\\[/tex]
The formula for the interest is ,
[tex]I=\frac{P.r.t}{100}[/tex]
Substitute the known calues in the formula to obtain the value of interest.
[tex]I=\frac{3000.\frac{3}{4} .3\frac{1}{2} }{100} \\=\frac{3000.3.7}{2.4.100} \\=78.75\\[/tex]
So interest paid by the woman is $78.75
(b)
Determine the amount paid by the woman .
[tex]A=P+I\\=3000+78.75\\=3078.75[/tex]
So woman repay $3078.75 to the bank.
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