Lillian works 7 hours each day for 5 days a week. She earns £420 each week. Lillian decides that she is going to work 7 hours each day for only 4 days a week. Her earnings are to be reduced by 20%. Lillian thinks that this reduction is reasonable. Explain why a reduction of 20% is reasonable.

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.

6.9

step-by-step explanation:

simple math really

6 1/2 times 0.6 = 3.9

but if you are just doing 6 and not 6 1/2 then the answer is 3.6

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,