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love history [14]
3 years ago
14

Sal Espinosa makes 8% commission on the first $5,000 of sales and 10% on any sales over $5,000. Find his total graduated commiss

ion on $15,000 in sales.
Mathematics
1 answer:
vfiekz [6]3 years ago
6 0

If Sal made a 10% commission on the first $5000, his commission would be 2% more than it is. That is, it would be .02·$5000 = $100 more than it is. In other words, Sal's commission is $100 less than it would be if it were 10% of all sales.

... 10% × $15,000 - 100 = $1500 - 100 = $1400

_____

The way you're probably expected to figure the commission is by computing the amount subject to each percentage. That is ...

... Sal gets 8% of $5000 = $400

plus

... Sal gets 10% of $15000 - 5000 = 10% of 10000 = $1000

The total of these two amounts is $400 + 1000 = $1400.

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Using the functions presented in the example, how much can Cam expect to earn if he sells all the corn produced on 1.5 acres?
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Answer:

Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.

Step-by-step explanation:

Given : C(a)=7500a-1500, M(C)=0.9C- 50  and  M(C(a))=6750a-1400

To find : How much can Cam expect to earn if he sells all the corn produced on 1.5 acres?

Solution :  

C(a)=7500a-1500

Substitute a=1.5,

C(1.5)=7500(1.5)-1500

C(1.5)=11250-1500

C(1.5)=9750

Now, taking function M(C)=0.9C- 50

Substitute C=9750,

M(9750)=0.9(9750)- 50

M(9750)=8775- 50

M(9750)=8725

Now, taking function M(C(a))=6750a-1400

Substitute a=1.5,

M(C(1.5))=6750(1.5)-1400

M(C(1.5))=10125-1400

M(C(1.5))=8725

Therefore, Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.

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