Please help I’m desperate

Ian has decided to buy a new car for $22,000 and agreed to make monthly payments for three years at
6.5% compounded monthly.

a. How much is each payment?

b. How much total interest will he pay over the life of the loan?

Step-by-step explanation:

a) We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $22000

r = 0.065/12 = 0.0054

n = 12 × 3 = 36

Therefore,

P = 22000/[{(1+0.0054)^36]-1}/{0.0054(1+0.0054)^36}]

22000/[{(1.0054)^36]-1}/{0.0054(1.0054)^36}]

P = 22000/{1.214 -1}/[0.0054(1.214)]

P = 22000/(0.214/0.0065556)

P = 22000/32.64

P = $674

b) The total amount that he would pay in 3 years is

674 × 36 = 24265

total interest paid over the life of the loan is

24265 - 22000 = $2265

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step-by-step explanation: