Ava earns $12 per hour working at a convenience store. If she gets a bonus of $40 this week, how many hours must she work in order to
earn more than $350 ? Round your answer to the nearest whole number.

29

Step-by-step explanation:

350 divided by 12 and you will get an answer of 29.16666667 and when you round off to whole number you will be getting 29 since there is a number less than 5 next to the decimal point .

More than 26 hours

Step-by-step explanation:

Ava's salary per hour = $12

Bonus for this week = $40

Let the number of hours she works for earning more than $350 be x.

Then, $12x + $40 > $350

=> $12x > $350 - $40

=> $12x > $310

=> x > $310/$12

=> x > 155/6

=> x > 25.8333...

=> x > 26 [rounding to the nearest whole number]

So, she must work more than 26 ours in order to earn more than $350.

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

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