#### Answer

4972.50 dollars

#### Work Step by Step

I=PRT P= 4500 dollars R = 14% T = 9 months
9 months =$\frac{9}{12}$ year=$\frac{3}{4}$ year=0.75 year
Write 14% as a decimal
I=4500$\times$ $\times$ 0.14 $\times$ 0.75
Multiply
I= 472.50 dollars
The simple interest is 472.50 dollars.
total amount = principal + interest
total amount= 4500+472.50= 4972.50 dollars
Total amount after 9 months will be 4972.50 dollars