Beth owes $17,000 on her car loan. The interest rate on her loan is 4.25%. She will be paying this loan off for 4 years. How much will Beth pay altogether?

a. $2890
b. $19,890
c. $28,900
d. $ 45,900

She has to pay $20078.7 amount.

Step-by-step explanation:

Beth owes 17,000 on her car loan. The interest rate on her loan is 4.25% She will be paying this loan off for 4 years

answer: it is d

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt