Ronda rollins gets a social security benefit of $350 per month. her husband receives a benefit equal to 200 percent of ronda's benefit. if they take an additional $400 per month from savings, what will their monthly income be?
700
750
1,050
1,450

Answer

Find out the what will their monthly income be .

To proof

Let us assume that the their monthly income be x .

As given

Ronda Rollins gets a Social Security benefit of $350 per month

Her husband receives a benefit equal to 200 percent of Ronda's benefit.

If they take an additional $400 per month from savings .

200% written in the decimal form

Than the equation becomes

x = 350 + 700 + 400

x= $1450

Therefore  monthly income be $1450 .

Option (D) is correct .

Hence proved

the answer is b.

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