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
For this case we have that by definition, the volume of a parallelepiped is given by:
Where:
l: It's the long
w: It is the width
h: It's the height
From the figure we have the following data:
We must find the value of the length of the parallelepiped:
Answer:
582.74 square inches of glass is required to construct the tank
Step-by-step explanation:
Base dimensions= 22 x 12 inches
Volume of the fish tank = 3960 cubic inches
Volume = l x w x h
3960 = 22 x 12 x h
h = 3960 /(22 x 12)
h = 3960/462
h = 8.57 inches
The glass used = lateral surface area of the rectangular prism
= 2(lh + wl)
= 2(188.57 + 102.8)
= 2(291.37)
= 582.74 square inches
582.74 square inches of glass is required to construct the tank
Answer:
6%
Step-by-step explanation:
The multiplier on George's money is ...
$708/$600 = 1.18
This value is ...
1 + rt = 1.18 . . . . . for t = 3
3r = 0.18 . . . . . . subtract 1; next divide by 3
r = 0.06 = 6%
The simple interest rate on George's account is 6%.
Answer:
Step-by-step explanation:
The intersection is the point where two equations meet. It is calculated by substituting terms into the equations involved. For the given systems of equation, calculations are as follows:
2x - y = 6
y = 2x - 6
We substitute the equation above to the second equation.
5x + 10y = –10
5x + 10( 2x - 6 )= –10
Simplifying,
5x + 20x - 60 = -10
25x = 50
x = 2
Therefore, the intersection has the value of x equal to 2.
