Troy is buying a car that costs $15,000. he plans to get a 5-year loan to pay for it. he can get a loan for $15,000 or he can pay $3,000 from his savings account and get a loan for the rest. the savings account pays 2% simple interest per year. the simple interest rate for the loan is 0.5% per year. a) how much interest over a 5-year period will troy receive on his $3,000 if he does not withdraw that money from his savings account? b) how much more interest will he pay to borrow $15,000 than $12,000? why is the $15,000 option reasonable?

a) $300

b) $75

Step-by-step explanation:

Cost of the Car = $15,000

a) Rate of interest received on savings(r) = 2%

Amount in savings account(p) =$3000

Time period(t) = 5 years

Simple interest =

                         =

                          = $300

Interest received on savings account = $300

b) Rate of interest on loan = 0.5%

IF P= 15000

Interest =  

             = $375

If P= $12000

Interest =  

            = $300

Difference between the interest = $75

c) Taking loan of the whole amount that is of $15,000 is more reasonable because though the interest is more but Troy will receive interest($300) from his savings account as well. But if he withdraws $3000 from savings and takes the loan for the rest of the amount, he would have no earnings.

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.