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OverLord2011 [107]
3 years ago
12

Alan just got a Fall job. The equation P = 12.50h represents the salary P (in dollars) he will earn when he works h hours. How m

uch is he earning per hour?
Mathematics
1 answer:
balandron [24]3 years ago
8 0

Given:

Alan salary P (in dollars) when he works h hours is represented by the equation

P=12.50h

To find:

The earning per hour.

Solution:

We have,

P=12.50h

Here, P is total salary and h is number of hours he works.

\text{Earning per hour}= \dfrac{\text{Total salary}}{\text{Number of hours}}

\text{Earning per hour}= \dfrac{12.50h}{h}

\text{Earning per hour}=12.50

Therefore, the earning per hour is $12.50.

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stellarik [79]

(i) 3 csc²(<em>x</em>) - 4 = 0

3 csc²(<em>x</em>) = 4

csc²(<em>x</em>) = 4/3

sin²(<em>x</em>) = 3/4

sin(<em>x</em>) = ± √3/2

<em>x</em> = arcsin(√3/2) + 2<em>nπ</em>  <u>or</u>   <em>x</em> = arcsin(-√3/2) + 2<em>nπ</em>

<em>x</em> = <em>π</em>/3 + 2<em>nπ</em>   <u>or</u>   <em>x</em> = -<em>π</em>/3 + 2<em>nπ</em>

where <em>n</em> is any integer. The general result follows from the fact that sin(<em>x</em>) is 2<em>π</em>-periodic.

In the interval 0 ≤ <em>x</em> ≤ 2<em>π</em>, the first family of solutions gives <em>x</em> = <em>π</em>/3 and <em>x</em> = 4<em>π</em>/3 for <em>n</em> = 0 and <em>n</em> = 1, respectively; the second family gives <em>x</em> = 2<em>π</em>/3 and <em>x</em> = 5<em>π</em>/3 for <em>n</em> = 1 and <em>n</em> = 2.

(ii) 4 cos²(<em>x</em>) + 2 cos(<em>x</em>) - 2 = 0

2 cos²(<em>x</em>) + cos(<em>x</em>) - 1 = 0

(2 cos(<em>x</em>) - 1) (cos(<em>x</em>) + 1) = 0

2 cos(<em>x</em>) - 1 = 0   <u>or</u>   cos(<em>x</em>) + 1 = 0

2 cos(<em>x</em>) = 1   <u>or</u>   cos(<em>x</em>) = -1

cos(<em>x</em>) = 1/2   <u>or</u>   cos(<em>x</em>) = -1

[<em>x</em> = arccos(1/2) + 2<em>nπ</em>   <u>or</u>   <em>x</em> = 2<em>π</em> - arccos(1/2) + 2<em>nπ</em>]   <u>or</u>   <em>x</em> = arccos(-1) + 2<em>nπ</em>

[<em>x</em> = <em>π</em>/3 + 2<em>nπ</em>   <u>or</u>   <em>x</em> = 5<em>π</em>/3 + 2<em>nπ</em>]   <u>or</u>   <em>x</em> = <em>π</em> + 2<em>nπ</em>

For 0 ≤ <em>x</em> ≤ 2<em>π</em>, the solutions are <em>x</em> = <em>π</em>/3, <em>x</em> = 5<em>π</em>/3, and <em>x</em> = <em>π</em>.

7 0
3 years ago
Emmy has 8 apples how many apples does she have
PilotLPTM [1.2K]
8 apples
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6 0
4 years ago
Read 2 more answers
(411+29+58)×(213+11+3)
Verdich [7]

Answer:

113,046

Step-by-step explanation:

Add inside of parentheses first to get

(498)x(227)

Multiply to get

113,046

8 0
3 years ago
How do I set this up?
eimsori [14]
So find out Y first with the equation 2y+6=8y-102 which is y=18

Then plug in y for 8y-102 which is 42

Finally make the equation 3x+42=180 to find x which is 46
8 0
4 years ago
Ophira’s insurance company has notified her that her premiums will increase due to a poor insurance score and a recent claim she
timurjin [86]

Answer:

$1449.15

Step-by-step explanation:

currently paying 815

to pay next year: 41% increase + 25 extra per month

⇒ 141%·815 + 12·25

    = 1149.15 + 300

    = 1449.15

8 0
3 years ago
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