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Elena L [17]
3 years ago
5

Last year, James earned £1,100 per month. This year, he's had a 4% increase in his monthly pay. He worked 40 hours per week for

48 weeks in the year. What is James' average pay per hour this year? Give your answer to 2 dp.
Mathematics
1 answer:
avanturin [10]3 years ago
5 0

Answer:

A = £7.15 per hour

James' average pay per hour this year is £7.15 per hour

Step-by-step explanation:

Given;

Last year pay = £1,100 per month

This year, he's had a 4% increase in his monthly pay

This year pay P = 1,100 + 4% of 1,100 = 1,100 +1,100(0.04)

This year pay P = £1,144 per month

Yearly pay Tp= 12 × P = 12 × £1,144 = £13,728

Number of hours worked this year;

He worked 40 hours per week for 48 weeks in the year

N = 40 hours per week × 48 weeks per year

N = 1920 hours per year

Average pay per hour this year A;

A = Yearly pay/Number of hours worked this year

A = Tp/N

A = £13,728/1920hours

A = £7.15 per hour

James' average pay per hour this year is £7.15 per hour

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The length of a swimming pool is 3 feet longer than it’s width. The swimming pool is surrounded by a deck that is 2 feet wide an
Firlakuza [10]

Answer:

The Length of swimming pool is 8.35 feet

The width of swimming pool is 5.35 feet

Step-by-step explanation:

Given as :

The length of swimming pool is 3 feet longer that its width

Let The width of swimming pool = w  feet

So, The Length of swimming pool = L = (w + 3) feet

Now, The swimming pool is surrounded by deck of 2 feet wide

The width of deck = w' = w + 2 + 2 = (w + 4) feet

The area of deck = 116 feet²

The length of deck = L' = L + 2 + 2 = (L + 4) feet

So, L' = (w + 3 + 4) feet

I.e L' = (w + 7) feet

∵ The area of deck = 116 feet²

So , L' × w' = 116 feet²

(w + 7)× (w + 4) = 116

Or, w² + 4 w + 7 w + 28 = 116

Or, w² + 11 w - 88 = 0

Solving the quadratic equation as

ax² + bx + c = 0

So, w = \dfrac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}

Or, w = \dfrac{-11\pm \sqrt{11^{2}-4\times 1\times (-88)}}{2\times 1}

Or, w = \dfrac{-11\pm \sqrt{473}}{2}

or, w = \dfrac{-11\pm 21.7}{2}

or, w = 5.35 , -16.35

The width of swimming pool = w = 5.35 feet

The Length of swimming pool = L = (5.35 + 3) feet = 8.35 feet

Hence, The Length of swimming pool is 8.35 feet

And The width of swimming pool is 5.35 feet

Answer

3 0
3 years ago
If one earthquake has a magnitude of 5 on the Richter scale and a second earthquake has a magnitude of 6,
sammy [17]

Answer:

sister and brother

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13. After Valentine's Day, boxes of chocolates go on sale and are marked down 10%. The
Anna007 [38]

Answer:

$27.00

Step-by-step explanation:

First, 10% of 30 = 3.

Second, 30 - 3 = 27

Hope this helps!

5 0
3 years ago
Please help me answer this question!!!
-Dominant- [34]

Answer:

19

Step-by-step explanation:

The triangle is an isosceles and so angle SRT and angle STR are equal

also:

Angle SRT and angle STU are supplementary so their sum is equal to 180

7x + 2x + 9 = 180 add like terms

9x + 9 = 180 subtract 9 from both sides

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3 0
2 years ago
What is the answer to(1−5q)+2(2.5q+8)
never [62]
Greetings!

Simplify the Expression.
=(1-5q)+2(2.5q+8)

Distribute the Parenthesis. 
<em>How?</em><span> Multiply the terms inside the Parenthesis by the term outside of the Parenthesis.
</span>=1*1-1*5q+2*2.5q+2*8

Combine Like Terms.
=1-5q+5q+16

=17

The Answer Is:
\left[\begin{array}{ccc}17\end{array}\right]

Hope this helps.
-Benjamin

5 0
3 years ago
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