Use the mortgage calculator in the window you opened at the beginning of this activity to calculate the following: Nicole is buying a house for $275,000. She has a down payment of $35,000. Her interest rate is 3.05%, a property tax of $1,250 a year, and she is doing a 30-year mortgage. How much will her monthly payment be? Put PMI as 0.5% and property insurance as $1,000 per year. whats the answer? $2,167,41 $1,305.84 $1,465.18 $126,600.62

hows it hangin lol

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