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cricket20 [7]
3 years ago
7

Help I’m unsure how to complete this

Mathematics
1 answer:
Andrews [41]3 years ago
4 0

Answer:

Step-by-step explanation:2

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The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: I = -425x^2 + 45,5
lord [1]

We are given

The average income, I, in dollars is

I=-425x^2+45500x-650000

(a)

now, we are given

average income is $275000

so, I=275000

now, we can set them equal

and then we can solve for x

275000=-425x^2+45500x-650000

-425x^2+45500x-925000=0

we will have to use quadratic formula

x=\frac{-45500+\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{-\sqrt{45500^2-1572500000}+45500}{850}

x=\frac{-45500-\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{\sqrt{45500^2-1572500000}+45500}{850}

we get

x=27.28199

x=79.776

we need to find youngest age

It means that we need to choose smallest value

so,

x=27............Answer

(b)

we are given

x=40

so, we can plug it and find I

I=-425(40)^2+45500(40)-650000

I=490000..............Answer

6 0
3 years ago
What is the volume of the prism below?
Fudgin [204]

Answer: A) 150 cubic units

V = area of the base <u>times</u> the height of the prism.

(5)(6) = 30

30/2 =15

V = (15)(10)

V = 150 cubic units

5 0
3 years ago
Simplify the expression 3 (5x)
Dovator [93]

Answer:

15x

Step-by-step explanation:

i just know (100% positive)

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erik [133]

Answer: b is the answer

Step-by-step explanation:

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What is the greatest common factor of 48, 24, and 32?
Inessa [10]

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8

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