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MrRissso [65]
3 years ago
13

A firm produces 500 units per week. it hires 20 full-time workers (40 hours/week) at an hourly wage of $15. raw materials are or

dered weekly and they costs $10 for every unit produced. the weekly cost of the rent payment for the factory is $2,250. how do the overall costs breakdown
Mathematics
1 answer:
lora16 [44]3 years ago
7 0
Raw material for 500 units per week = 500 x $10 = $5000

Cost of hiring 20 workers per week = 20 x 40  x 25 = $12000

Rental = $2250

Total = 5000 + 12000 + 2250 = $19 250
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M(d)=-0.123x^2+148.83x-21.07<br> When will it reach maximum height of 45000 feet
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Answer: time to reach maximum height = 605

Step-by-step explanation:

The expression that relates height with time is

M(d)=-0.123x^2+148.83x-21.07

Where time = x

d = height

The expression is a quadratic equation. If height of the object is plotted against time, the resulting graph is a parabola whose vertex is equal to the maximum height attained by the object. The time, x corresponding to the vertex is the time for it to reach maximum height.

To find x,

x = -b/2a

Where a= 0.123

b = 148.83

x = - 148.83 / -2 × -0.123

x = -148.83 / -0.246

= 605

Substituting x = 605 in the equation,

M(d)=-0.123x^2+148.83x-21.07

d = -0.123 × 605^2 + 148.83×605

= - 45021.075+ 90042.15

= 45020.4

Approximately 45000 feet

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Determine the sum of the arithmetic series: 5+18 +31 +44 + ... 161.
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Step-by-step explanation:

Hello,

18-5 = 13

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