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sweet [91]
1 year ago
9

Dan and Juanita are arguing, again! Dan says the revenue function for the

Mathematics
1 answer:
Gwar [14]1 year ago
8 0

Find

R(V)

  • p(x)×x
  • x(-3/2x+112)
  • -3/2x²+112x

Now

  • y=-3/2x²+112x

Find vertex x coordinate

  • -b/2a
  • -112/-2(-3/2)
  • -37.3

Put in equation

  • y=-3/2(-37.3)²+112(-37.3)
  • y=-2086.9-84+4177.6
  • y=$6264.6
  • y=$62.64M

As a is negative parabola is facing downwards hence vertex is minimum .

So minimum value is $62M which is far more than given .

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Aaron made a $400 purchase using his credit card. The credit card has a simple interest rate of 12% each year. How much will Aar
melisa1 [442]

Answer:  448 dollars

=============================================

Work Shown:

P = 400 is the balance

r = 0.12 is the decimal form of the interest rate

t = 1 is the number of years

Use those values to get the simple interest to be

i = P*r*t

i = 400*0.12*1

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5 0
3 years ago
The distribution of heights for adult men in a certain population is approximately normal with mean 70 inches and standard devia
KengaRu [80]

Answer:

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12]

Step-by-step explanation:

I beleive those options corresponds to another question, i will ignore them. We want to know an interval in which the probability that a height falls there is 0.8.

In such interval, the probability that a value is higher than the right end of the interval is (1-0.8)/2 = 0.1

If X is the distribuition of heights, then we want z such that P(X > z) = 0.1. We will take W, the standarization of X, wth distribution N(0,1)

W = \frac{X-\mu}{\sigma} = \frac{X-70}{4}

The values of the cumulative distribution function of W, denoted by \phi , can be found in the attached file. Lets call y = \frac{z-70}{4} . We have

0.1 = P(X > z) = P(\frac{X-70}{4} > \frac{z-70}{4}) = P(W > y) = 1-\phi(y)

Thus

\phi(y) = 1-0.1 = 0.9

by looking at the table, we find that y = 1.28, therefore

\frac{z-70}{4} = 1.28\\z = 1.28*4+70 = 75.12

The other end of the interval is the symmetrical of 75.12 respect to 70, hence it is 70- (75.12-70) = 64.88.

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12] .

Download pdf
8 0
3 years ago
Order the number from least to greatest.<br> (-8, 7,-5,-2, 0,5,2)
Mandarinka [93]
(-8,-5,-2,0,2,5,7) This is the answer
6 0
3 years ago
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