In 1980 the median age of a resident of the united state was 30 years. by 2000 the median age had increased 5.3 years. what was the median age of a resident of the united states in year 2000?

35.3 years

Step-by-step explanation:

Given :

In 1980 the median age of a resident of the united state was 30 years.

By 2000 the median age had increased 5.3 years.

Solution :

The median age the median age of a resident of the united state  = 30 years

Since the median age had increased 5.3 years in 2000

Thus , the median age of a resident of the United States in year 2000 = 30+5.3 = 35.3 years

Hence the median age of a resident of the United States in year 2000=35.3 years

the 1st digit is in the 100s n its 1

step-by-step explanation:

3,589÷18 = 199.389

so the first digit of the quotient is in the 100s n its 1

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