[填空题]
Bruce goes into a car dealership to purchase a new ve p)gb.o y0ydl82zrv q/hicle. The one he wants to pzyr )b/2g0qod ly.v8 fz84+-,0huii5 xh1mot h y8gl:iv hfs8 fs0arbuy costs 16000 dollars , however he doesn't have that much money i1hftigamol xf s:8u f h4z+s-y 0,vih8r5 hi80n his bank. The salesman offers him a financing option of a 30 % deposit followed by 12 monthly payments of 1150 dollars.
1.Find the amount of the deposit. PV =
2.Calculate the total cost of the loan under this financing option.
Bruce's father generously offers him an interest free loan of 16000 dollars to buy the car to avoid the expensive loan repayments. They agree that Bruce will repay the loan by paying his father $x$ in the first month and $y$ every following month until the 16000 dollars is repaid.
The total amount Bruce's father receives after 12 months is 5200 dollars. This can be expressed by the equation x+11y=5200. The total amount that Bruce's father receives after 24 months is 10600dollars.FV =
3.Write down a second equation involving x and y. ax+by=c a = b = c =
4.Determine the value of x and the value of y. x = y =
5.Calculate the number of months it will take Bruce's father to receive
the 16000 dollars. n =
Bruce decides to buy a cheaper car for 12000 dollars and invest the remaining 4000 dollars. He is considering two investment options over four years.
Option A: Compound interest at an annual rate of 6.5 %.
Option B: Compound interest at a nominal annual rate of 6 %, compounded monthly.
Express each answer in part (f) to the nearest dollar.
6.Calculate the value of each investment option after four years.
(1)Option A. ≈
(2)Option B. ≈
