Answer:
$1690.52/week
Step-by-step explanation:
Since the yearly payment is $87907/year and the Assistant Director works 52 weeks/year, then we get that they earn $87907/52 weeks.
That simplifies into 1690.51923..., which is $1690.52/week.
The first thing we should do is write the functions.
For the area we have:
A = w * h = 20000 feet ^ 2
The price is:
Cost = (4 * 2 * h + 2 * 2 * w)
Substitute for h ::
C (w) = (4 * 2 * (20,000 / w) + 2 * 2w)
Rewrite we have:
C (w) = 160,000 / w + 4w
Take the derivative:
C '(w) = 160000 (-1 / w ^ 2) + 4
We equal zero and clear w:
0 = 160000 (-1 / w ^ 2) + 4
160000 / w ^ 2 = 4
w ^ 2 = 40000
w = 200 (approximately)
width = 200 ft; so cost is 2 * ($ 4) 200 = $ 1600
height = 20000/200 = 100 ft; so cost is 2 ($ 2) 100 = $ 400
Total cost = $ 2000
Answer:
The cost of the least expensive fence is:
Total cost = $ 2000
Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
Given:
Distribute to remove parentheses:
For simplification and clarity, reduce all mixed numbers to simplified common fractions:
Combine like terms:
Add 6/5 to both sides, then add 9/5x to both sides:
Divide both sides by -3/5 to isolate x (recall dividing by a number is equal to multiplying by its reciprocal):
