A credit card bill for $559 was due on September 14. Purchases of $289 were made on September 19, and $15 was charged on September 28. A payment of $250 was made on September 25. The annual interest on the average daily balance is 19.5%. Find the finance charge due (in dollars) on the October 14 bill. (Use 365 for the number of days in a year. Enter a number. Round your answer to the nearest cent.)

$623

Step-by-step explanation:

calculation of Finance charge due on October 14

(+) $ 559 due on sep 14, $ 559 * (19.5*31) / (100 * 365) = $ 9.20

(+) purchase $ 289 on sep 19, $ 289 * (19.5*26 ) / (100 * 365) = $ 2.42

(+) finance charge on sep 28, $ 18 *(19.5*17 ) / (100 * 365) = $ 0.17

(-) Repayment on 25 sep , $ 250 * (19.5*20 ) / (100 * 365) = (2.745)

Total finance charges from 14 sep to 14 oct = $ 9.7= appr. 10

Amount due on 14 October = $559+$289+$15+$11.855- $250

= $ 623

do you have the measurements?

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