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KATRIN_1 [288]
3 years ago
10

Julio is paid 1.4 times his normal hourly rate for each hour he works over 32 hours in a week. Last week he worked 43 hours and

earned $535.62. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable.
Mathematics
1 answer:
nekit [7.7K]3 years ago
4 0

Answer:

r = \$14.71

Step-by-step explanation:

Given

Normal Hour = 32 hours

Overtime = Hours above 32

Rate for Overtime = 1.4 times normal rate

Earnings = $535.62

Required

Determine the normal hour pay

First, we need to determine the hours worked overtime.

This is:

Overtime = 43 - 32

Overtime = 11

The equation that binds all the parameters is:

Earnings = Normal\ Hour * Normal\ Rate + Overtime * Overtime\ Rate

This gives:

535.62 = 21 * r + 11 * 1.4r

535.62 = 21r + 15.4r

535.62 = 36.4r

Solve for r

r = 535.62/36.4

r = \$14.71

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What is the final answer?
MakcuM [25]
<h3>Answer:  42</h3>

Explanation:

We have y = -0.9x^2 + 76x - 250 which is in the form y = ax^2+bx+c

where,

  • a = -0.9
  • b = 76
  • c = -250

The vertex (h,k) is when the profit is maxed out.

h = -b/(2a)

h = -76/(2(-0.9))

h = 42.222 approximately

Let's plug in x values around x = 42

Try x = 41

y = -0.9x^2 + 76x - 250

y = -0.9(41)^2 + 76(41) - 250

y = 1353.10

Now try x = 42

y = -0.9x^2 + 76x - 250

y = -0.9(42)^2 + 76(42) - 250

y = 1354.4

Now try x = 43

y = -0.9x^2 + 76x - 250

y = -0.9(43)^2 + 76(43) - 250

y = 1353.9

We see that the largest profit happens when x = 42.

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Use 1% or 10% to estimate 23% of 51
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Answer:

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Step-by-step explanation:

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