Sarah negotiated a price of $25,140.00 for a new Toyota Camry Hybrid Sedan. She is prepared to give a down payment of 15%Her credit union offered her a 5-year amortized loan for the remaining amount at a rate of 2%. How much money will be paid in interest?

What will the monthly payment be?

How much will the car cost, in total?

If she got a simple interest loan at the same interest rate and time, how much would she pay in interest?

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb