McCall makes a deposit at her bank. When she is finished, she has a receipt which totals $769 and $200 in cash. She recalls that the checks deposited totaled two times the amount of currency she had deposited. She did not deposit any coins. What amount of checks did she deposit?

a. $303 in checks
b. $313 in checks
c. $323 in checks
d. $646 in checks

lol.

it's ok we all do this sometimes.

-aparri

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

∡ eia and ∡ kij are congruent

step-by-step explanation: