I'm guessing the answer is B? I tried to isolate r and I got that result. Sorry if it's wrong!
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.
Hello :
x²- 6x + 8 = x² - 2(3)(x) +8
= (x² -2(3)(x) +9) - 9 + 8
= ( x - 3 )² - 1²
= (x - 3 + 1 ) (x - 3 - 1 )
x²- 6x + 8 = (x - 2 ) ( x - 4 )
x - ∞ 2 4 + ∞
ــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــ
x - 2 -------- 0 +++++ +++++++
x - 4 --------- -------- 0 +++++
(x - 2 ) ( x - 4 ) +++ 0 ------ 0 ++++++
x2 − 6x + 8 > 0 the solution in : ]-∞:2[ U ]4;+∞[
The vibration period of the spring will be 0.2 seconds
<em><u>Explanation </u></em>
The relationship between the vibration period "T" (in seconds) and the weight "w" (in kilograms) is given by...

Given that, the weight(w) = 2.0 kilograms
So, <u>plugging w = 2.0</u> into the above equation, we will get...

So, the vibration period of the spring will be 0.2 seconds.