Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Lillian works 7 hours each day for 5 days a week and that she earns £420 each week.
Her earnings per day will be: $420/5 days = $84/day.
Since she works 7 hours each day, her earning per hour will be:
= $84/7
= $12 per hour.
We are further told that Lillian decides that she is going to work 7 hours each day for only 4 days a week and that her earnings are to be reduced by 20%.
Her new earning will be:
= $420 - (20% × $420)
= $420 - (0.2 × $420)
= $420 - $84
= $336.
Her earnings per day will be:
= $336/4 days
= $84 per day
Her earnings hour will be:
= $84/7
= $12 per hour
A reduction of 20% is reasonable as she has lesser days to work while still maintaining the same wage rate per hour. Her per hour rate is still $12 despite working for lesser days.
students going on trip: 26+32 = 58
58 students * 1 van/10 students = 5.8 vans
round up because we cannot take part of a van
6 vans
5 vans will have 10 students and 1 will have 8 students OR
4 vans will have 10 students and 2 will have 9 students
Answer:
The everage rate of change over the interal 4 ≤ x ≤ 8 will be: 60
Step-by-step explanation:
Given the function

Interval : 4 ≤ x ≤ 8
or
Interval = [4, 8]
so
at x₁ = 4, f(x₁) = 2ˣ - 12 = 2⁴ - 12 = 16-12 = 4
at x₂ = 8, f(x₂) = 2ˣ - 12 = 2⁸ - 12 = 256 - 12 = 244
Using the formula to determine the average rate of change over the interval 4 ≤ x ≤ 8 wil be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [244 - 4] / [8-4]
= 240 / 4
= 60
Therefore, the everage rate of change over the interal 4 ≤ x ≤ 8 will be: 60
Answer:
There is not enough information
Step-by-step explanation:
If you wanted to find all the factors, here’s a list.
1,2,4,8,16