Sam is planning to start a pool cleaning business from his home. He has decided on a radius of 30 miles from his home as a region of operation. After surveying the region of operation, he has found that 43% of homes in the
region have a swimming pool. There are 36,248 homes in Sam's region of operation.
а.
Which of the following statements is the best reason to include in the market analysis component of Sam's business
plan explaining why such a high percentage is good for Sam's business?
43% is 40% more than Sam needs.
b. Only 57% of the home owners need to build a swimming pool
43% of homes with a pool means 15,586 guaranteed customers, creating a solid customer
base.
d. Since pools are not often removed from a property, 43% of homes with a pool means a
strong potential customer base now, with the existing home owners, and later, with new
home owners.
C.

The answer is D

Step-by-step explanation:

GOT IT right ED 2021

ratio is 2 : 9

the answer is three

13.5 : 3

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