You are working as an office apprentice for the bksb newcastle arena. the current exchange rate for us dollars ($) to british pounds (£) is this: $1.54 : £1 the american folk band, patriots & banjos, only accepts payment for concerts in us dollars. the agreed fee was £12,000. how many dollars will the arena have to pay them?

$18480

Step-by-step explanation:

If for every £ you have $1.54 you just need to times $1.54 by the number of pounds you have. In this situation you have £12,000.

1.54 x £12,000 = 18480

Therefore you have $18480.

pls refer ro the top for answer

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