A salesperson works 40 hours per week at a job where has two options for being paid. Option A is an hourly wage of ​$20. Option B is a commission rate of ​10% on weekly sales. How much does need to sell this week to earn the same amount with the two​ options? Please help..

$8,000

Step-by-step explanation:

40x20= .1s

8000=s

First option, the salesperson will earn 40*20=800 dollars.

For second option, the person will earn the amount he sells/10.

For them to be equal the second salesperson have to sell 800*10=8000 dollars of items to earn that as much money as the first salesperson.

60°

step-by-step explanation:

the measure angle of c in an isosceles triangle abc is 60° because in isosceles triangle,the measures of all the angles is 60°.

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