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Harrizon [31]
2 years ago
8

15. P(-3, 14). Q(2, -1), R(4,8), S(-2.-10) Types of lines m(PQ) -3 m(s) 3 neither

Mathematics
1 answer:
Natasha2012 [34]2 years ago
8 0

Answer:

75

Step-by-step explanation:

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The average annual income I in dollars of a lawyer with an age of x years is modeled with the following function I=425x^2+45,500
natali 33 [55]
You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.

Also, you made a little (but important) typo.

The right equation for the annual income is: I = - 425x^2 + 45500 - 650000

1) Determine <span>the youngest age for which the average income of a lawyer is $450,000

=> I = 450,000 = - 425x^2 + 45,500x - 650,000

=> 425x^2 - 45,000x + 650,000 + 450,000 = 0

=> 425x^2 - 45,000x + 1,100,000 = 0

You can use the quatratic equation to solve that equation:

x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)

x = 38.29 and x = 67.59

So, the youngest age is 38.29 years

2) Other question is what is the maximum average annual income a layer</span> can earn.

That means you have to find the maximum for the function - 425x^2 + 45500x - 650000

As you are in college you can use derivatives to find maxima or minima.

+> - 425*2 x + 45500 = 0

=> x = 45500 / 900 = 50.55

=> I = - 425 (50.55)^2 + 45500(50.55) - 650000 = 564,021. <--- maximum average annual income
3 0
3 years ago
If a fair six-sided die is rolled three times, what is the chance of getting at least one ace ? note: an ace is the number 1.
qwelly [4]
Recall that the probability of multiple events occurring is equal to their individual probabilities. The chance of rolling a one is 1/6, so the chance of that occurring three times is (1/6)^3, which is equal to 1/216.
4 0
3 years ago
Sam buys 3 pounds of apples for $6. What is the unit rate?
olganol [36]

Answer: 1 pound per $2

Step-by-step explanation:

Imagine this problem as a ratio:

Pounds : Dollars

3 : 6

To simplify this ratio, we see that a common divisor(in fact the only common divisor) is 3.

3/3 : 6/3

1 : 2

Therefore, we get 1 pound per $2

5 0
2 years ago
Please help asap dont want to fail final exam
Alex787 [66]

Answer: C

Step-by-step explanation:

3 0
2 years ago
0.4x+18=-13 what is x?
Rasek [7]

Answer:

-52.5 or -53

Step-by-step explanation:

Start by subtracting 18 from both sides. With you get 0.4=-21. Now divide 0.4 into both sides.

3 0
3 years ago
Read 2 more answers
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