Q:

1. Ann took out a loan at the Bank of Florida with a principle amount of $12,000, at an interest rate of 5.65% for 4 years. What is the amount of her interest?2. Dan borrowed $1,250.00 from his brother who is charging him 5% simple interest. If Dan pays his brother back in 18 months, how much does he have to pay back including the interest?Could you please give me the answers to both please

Accepted Solution

A:
Answer:1. $2,950.622. $93.75Step-by-step explanation:Ann took out a loan of = $12,000At an interest rate of = 5.65%Time = 4 yearsFormula of compound interest = [tex]A=P(1+\frac{r}{n})^{nt}[/tex]= [tex]A=12,000(1+\frac{0.0565}{1})^{1\times 4}[/tex]= [tex]12,000(1.0565)^{4}[/tex]= 12,000 × 1.24588514Interest = Amount - principal amount              = $14,950.62 - 12,000             = $2,950.62Amount that Dan borrowed =  $1,250rate of interest = 5%Time = 18 months or 1.5 yearsFormula of simple interest = P(1+rt)= 1250(1+(0.05 × 1.5))= 1250(1+0.075)= 1250 × 1.075= 1343.75Interest = Amount - principalI = 1343.75 - 1250  = $93.75