Elise is a project manager.
in 2016, she earned a monthly salary of £2100
In 2017, she earned a 3% pay increase on her monthly salary.
Given that in 2017 Elise worked 42 hours per week for 45 weeks work out her average pay per hour for the year.

Respuesta :

[tex]\text{In 2016, Elise earned a monthly salary of }\pounds 2100\\ \text{and in 2017, she earned a }3\% \text{ pay increase on her monthly salary.}\\ \text{so her increased monthly salary in 2017 is}=2100+3\% \text{ of 2100}\\ \\ =2100+0.03(2100)\\ \\ =2100+63\\ \\ =\pounds 2163\\ \\ \text{now given that in 2017 Elise worked 42 hours  per week for 45 weeks.}\\ \text{so the total number of hours she worked in 2017 is}=42\times 45=1890\text{ hours}[/tex]

[tex]\text{And the total earning of Elise in 2017}=2163\times 12=\pounds 25956\\ \\ \text{So her average per per hour in 2017 is}=\frac{25956}{1890}\approx \pounds 13.73[/tex]

Hence her average pay per hour in 2017 is 13.73 pounds

An Increase can be defined as an increment in a particular sum of money.

Elise average pay per hour is £13.73

From the question, In 2016, she earned a monthly salary of £2100  . In 2017, she earned a 3% pay increase on her monthly salary.

The increase in Elise's salary is calculated as:

3% x £2100  

= £63

Hence, In 2017, Elise monthly salary is

£2100 + £63

= £2163

Also in 2017,  Elise worked 42 hours per week for 45 weeks work out her average pay per hour for the year

The total number of hours that Elise would have to work in 45 weeks.

42 hours x 45 weeks = 1890 hours

There are 12 months in a year. Elise pay for the year 2017 is calculated as:

£2163 x 12 months

= £25956

Hence, Elise average pay per hour is :

£25956 / 1890 hours

=  £13.73

Therefore, Elise average pay per hour is £13.73

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