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Leviafan [203]
3 years ago
12

A local salesman receives a base salary of $975 monthly. He also receives a commission of 7% on all sales over $1250. How much w

ould he have to sell in a month if he needed to have a monthly income of $2100?
Mathematics
1 answer:
slava [35]3 years ago
8 0

Answer:

  $17,321.43

Step-by-step explanation:

The amount of monthly income from commissions would have to be ...

  $2100 -975 = $1125

This is 7% of sales over $1250, so the sales (s) would need to be ...

  1125 = 0.07(s -1250)

  1125 = .07s -87.50 . . eliminate parentheses

  1212.50 = 0.07s . . . . add 87.50

  17,321.43 = s . . . . . . . divide by 0.07

He would have to sell $17,321.43 in a month if he needed an income of $2100.

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Answer:  Second option is correct.

Explanation:

Since we have given that

f(x)=3x^4+2x^3-x^2+2x-19

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To find the remainder, we use the Remainder Theorem, which states that when f(x) is divided by (x-c) then the f(c) is the required remainder.

So,

Here, we have,

x+2=0\\\\x=-2

So, we will find f(-2) which will give us the required remainder,

f(-2)=3(-2)^4+2(-2)^3-(-2)^2+2(-2)-19\\\\f(-2)=(3\times 16)-(2\times 8)- 4-4-19\\\\f(-2)=48-16-36-4-19\\\\f(-2)=5

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