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Andrej [43]
3 years ago
8

Marilyn is a salesperson at Open to Clothes. Each month she earns $650 plus 6% of her total monthly sales. How much did she earn

last month if her sales totaled $7200?
Mathematics
1 answer:
Whitepunk [10]3 years ago
7 0

Answer:

Her monthly income=$1,082

Step-by-step explanation:

Step 1: Express the total monthly pay:

The total monthly pay can be expressed as follows;

A=F+(R×T)

where;

A=the total monthly income

F=fixed income per month

R=commission rate

T=total monthly sales

In our case;

F=$650 a week

R=6%=6/100=0.06

T=$7200

replacing;

A=650+(6% of 7,200)

A=650+(0.06×7,200)

A=650+432=1,082

A=$1,082

Her monthly income=$1,082

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zmey [24]

Answer:

Part 1) The inequality that represent this situation is 5(x+7)^{2} \geq1,050  or  5x^{2}+70x+245 \geq1,050

Part 2) Yes, 8 inches is a reasonable width for his tablet

Step-by-step explanation:

Part 1)

Let

L -----> the length of the screen television

W ----> the width of the screen television

x ---->  the width of Andrew's tablet

we know that

L=5W ------> equation A

W=x+7 ----> equation B

The area of the television is

A=LW -----> equation C

Substitute equation A and equation B in equation C

A=5(x+7)(x+7)

A=5(x+7)^{2}

5(x+7)^{2} \geq1,050

5(x^{2}+14x+49) \geq1,050

5x^{2}+70x+245 \geq1,050 ------> inequality that represent this situation

Part 2) Determine if 8 inches is a reasonable width for his tablet

For x=8 in

Substitute in the inequality

5(8+7)^{2} \geq1,050

5(15)^{2} \geq1,050

1,125 \geq1,050 -----> is true

therefore

Yes, 8 inches is a reasonable width for his tablet

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