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Viefleur [7K]
3 years ago
8

Ms. Ache is paid $1250 per week but it's fined $100 each day she is late to work Ms.A che wants to make at least $3,000 over the

next three weeks so she can take a vacation. over the next three weeks, what is the maximum number of days she can be late to work and still reach her goal of making at least $3000?
Mathematics
2 answers:
Leona [35]3 years ago
8 0

Answer:

7 days

Step-by-step explanation:

Given: Ms. Ache is paid $1250 per week but it's fined $100 each day she is late to work.

To Find: maximum number of days she can be late to work and still reach her goal of making at least $3000?

Solution:

per week payment of Ms. Ache =\$ 1250

Fine for getting late a day =     \$ 100

let number of days Ms. Ache gets late =  \text{x}

Amount Ms. Ache wants to make in three weeks = \$ 3000

maximum earning potential of Ms. Ache in 3 weeks = 1250\times3= \$ 3750

Net earning = maximum earning potential of Ms. Ache in 3 weeks - total fine

                     =\$ 3750 - 100\text{x}

To reach a goal of   \$ 3000

\$ 3750 - 100\text{x} ≥ 3000

100\text{x}≤750

\text{x}\leq 7

Maximum  number of days she can be late to work and still reach her goal of making at least $3000 is 7 \text{days}

nordsb [41]3 years ago
6 0
She can be late 7 days max
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