Delilah purchased a wheelchair with an installment loan that has an APR of 18 percent. The wheelchair sells for $2,007. The store financing requires a 20 percent down payment and 54 monthly payments. What is the finance charge

$748.48

Explanation:

Cost of wheelchair = $2,007

Down payment = Cost of wheelchair*20% = $2,007*20% = $401.40

Amount of finance = Cost of wheelchair - Down payment = $2,007 - $401.40 = $1,605.60

Interest rate = 18% * 1/12 = 1.5%per month

Term = 54 month

Monthly payment = Amount of finance*I/[1-(1+I)^-n]

Monthly payment =  $1,605.60*1.5%/[1-(1+1.5%)^-54]

Monthly payment = $1,605.60*1.5%/[1 - 0.447541]

Monthly payment = $1,605.60*0.015/0.55246

Monthly payment = $43.59411

Total amount paying for loan over a period = Monthly payment * Term = $43.59411 * 54 = $2354.08

Amount of finance charge = Total amount paying for loan - Amount of loan

Amount of finance charge = $2354.08 - $1,605.60

Amount of finance charge = $748.48

u = 30

continuing your method

= +

subtract from both sides

= - thus

= -

= ⇒ u = 30