John Harper has borrowed $17,400 to pay for his new truck. The annual interest rate on the loan is 9.4 percent, and the loan needs to be repaid in four payments. What will be his annual payment if he begins his payment beginning now

$4,953

Explanation:

Given by the question, we have:

+) Present value of annuity  = $17,400

+) Return on the investment = annual interest rate on the loan = 9.4%

The type of this annuity is annuity due.

We have the equation to calculate the present value of annuity due as following:

PV Annuity Due = P × [1 - (1 + r)^(-N)]/r × (1+r)

=> P = PV Annuity Due ÷ {[1 - (1 + r)^(-N)]/r × (1+r)}

In which:

+) P: Annual payment

+) r: annual interest rate = 9.4% = 0.094

+) N: Number of payments = 4 (As the loan is repaid in 4 payments)

+) PV Annuity Due = 17,400

=> P = 17,400 ÷ {[1 - (1 + 0.094)^(-4)]/0.094 × (1+0.094)} ≈ $4,953

there's 11 people for the 1st position. then, no matter who gets it, there's only 10 left for the second, and then 9 left for the third. 11 x 10 x 9 = 990.   the answer is there are 990 different ways the positions can be filled by these applicants

of the three mortgage options that demarco and tanya have to choose from, the balloon payment mortgage would be their best option, over adjustable payment and fixed payment plans.ultimately, the balloon payment plan would save demarco and tanya overall, in interest, would cost less monthly, and they would only have to make these payments for 8 years, opposing to 30 years for adjustable or fixed payment plans. 

overall, demarco and tanya would save $80,811 if they chose balloon payments over fixed payments, and would save $116,711 if they choose balloon payments over adjustable payments. benefits with choosing fixed payments over adjustable payments is that, in the end, the payments will still be $836.30 a month, while with adjustable payments, the initial monthly payments will be $763.38 to $1082.70 a month, ultimately leading to a more costly purchase. benefits with choosing fixed payments over balloon payments are not present. benefits in choosing adjustable payments over is that it has a lower interest rate, and starts with lower monthly payments initially. benefits in choosing adjustable payments over balloon payments include a lower interest rate, and lower initial monthly payments. benefits in choosing balloon payments over fixed payments include lower interest rates, lower overall price, lower monthly payments, takes less time to pay off, and does not require a downpayment. benefits in choosing balloon payments over adjustable payments include, lower monthly payments (when averaged), takes less time to pay off, and lower overall price.

hence, option c, balloon payments, is the best option for demarco and tanya to make this purchase, for it will save them a minimum of $80811, and a maximum of $116,711.