3. There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages/given a few clues. The first clue is that when added together, their ages total 100 years. Kirk is twice
ten years less than the manager's ageBrian is 12 years younger than twice the manager's age/and Mattis 69
years older than half the manager's age. What are all four of their ages? It may help to set up four le
statements, one for each employee (including the manager),
let me managers age

3.76%

step-by-step explanation:

i'm sorry mate, but i am not seeing any figures. i am unable to solve this for you.

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