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9966 [12]
3 years ago
7

Elise is a project manager

Mathematics
2 answers:
gregori [183]3 years ago
8 0

Answer:

£11.85

Step-by-step explanation:

In the question, we are told that:

In 2016 she earned a monthly salary of £2,100

In 2017 she had a 3% raise

This means 3% of £2,100

3/100×£2,100 = £63

This means her salary for 2017 =

£63 + £2,100 =£2,163

Step 2

We are told in the question that she worked 42 hours per week for 45 weeks in 2017

Since her monthly pay for 2017 = £2,163

She worked 42 hours per week

There are 7 days in one week

The number of hours she worked per day = 42 hours ÷ 7 = 6 hours per day

4.345 weeks= 1 month

The number of hours she worked per month = 42 hours × 4.345 weeks

= 182.49 hours.

We can say that for 182.49 hours she was paid = £2,163

Her average pay per hour is calculated as:

If 182.49 hours = £2,163

1 hour = represented by Y

Cross multiply

182.49Y = £2,163

Y = £2,163 ÷ 182.49

Y = £11.852704258

Approximately = £11.85

Therefore, Elise Average pay per hour for the year = £11.85

Maurinko [17]3 years ago
3 0

Answer:

poopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopoop  

Step-by-step explanation:

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Find the exact value of cos(arcsin(1/4)). For full credit, explain your reasoning.
Westkost [7]
First way
arcsin(1/4) means that 1/4 sin of the angle.

sin(α)=1/4
sin²α+cos²α=1
(1/4)²+cos²α=1
cos²α=1-1/16 =15/16
cosα=+/-(√15)/4

<span>Second way
</span>
sin(α)=1/4 =opposite leg/hipotenuse
cos(α)=adjacent leg/hypothenuse
adjacent leg =√(hypotenuse²- Opposite²)=√(16-1)=√15
cosα=+/-√15/4

For one value of sinα, possible 2 values of cosα.

5 0
3 years ago
Everything in a store is discounted by 25%. What is the sale price of a clock with a regular price of $24.60?​
Lelechka [254]

Answer:

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Step-by-step explanation:

sale price⇒ total price-discount price

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s.p⇒$2460/100-25/100                           ∴24.60⇒2460/100

s.p⇒$24.35

           ⇒$24.35

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Step-by-step explanation:

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