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fredd [130]
3 years ago
13

Lana makes $8 an hour plus $12 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week.

Part
a. Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime. (3 points) Part
b. Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours. (3 points) Part
c. Lana earned $368 in 1 week. How many hours (regular plus overtime) did she work? (4 points) please help!! @sheryl1031
Mathematics
1 answer:
dolphi86 [110]3 years ago
4 0
Part a. W=8x
part b. S=8x+12y
part c. 368=8(40)+12(y)
368=320+12y
-320 -320
_________________________
48=12y
4=y
x=40, y=4.

X+Y=44 hours
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Graham paid $87.45 for a pair of jeans. This amount included a tax of 40%. What was the cost of the jeans before tax?
kiruha [24]

The final price is the cost plus the tax.

Since we know the tax and a percent, we can write this as

T = C(1+r)

T = what Graham paid = $87.45

C = cost before tax

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the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.

Step-by-step explanation:

if there is no mistake in the problem description, I read the following function :

C(x) = y = 0.3x² - 1.2x + 2

I don't know if you learned this already, but to find the extreme values of a function you need to build the first derivative of the function y' and find its solutions for y'=0.

the first derivative of C(x) is

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0.6x - 1.2 = 0

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C(2) = 0.3×2² - 1.2×2 + 2 = 0.3×4 - 2.4 + 2 = 1.2-2.4+2 = 0.8

so, the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.

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In-s [12.5K]

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Step-by-step explanation:

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