Elise is a project manager
In 2016 she earned a monthly salary of £2,100
in 2017 she had a 3% raise
Given that in 2017 Elise worked 42 hours per week for 45 weeks, work out her average pay per hour for the year
please help :(

£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

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.