All categories

3 years ago

Please help with this question

Mathematics

1 answer:

posledela3 years ago

6 0

Answer:

The maximum revenue will be $R=\$25,000$ at price $p=\$100.$

Step-by-step explanation:

Given:

$R=-2.5p^2+500p$

Find the vertex of the parabola represented by given equation:

$p_v=\dfrac{-b}{2a}=\dfrac{-500}{2\cdot (-2.5)}=\dfrac{500}{5}=100$

When $p=\$100,$ then

$R=-2.5\cdot 100^2+500\cdot 100=-2.5\cdot 10,000+50,000=-25,000+50,000=25,000$

The maximum revenue will be $R=\$25,000$ at price $p=\$100.$

You might be interested in

Creating an Exponential Model

belka [17]

Answer:

P = $300

r = 0.15

n = 12

$544.61 (to the nearest cent)

$P(1+r)^t$

$524.70 (to the nearest cent)

Step-by-step explanation:

P = principal amount = $300

r = annual interest rate in decimal form = 15% = 15/100 = 0.15

n = number of times interest is compounded per unit t = 12

How much she'll owe in 4 years

P = 300

r = 0.15

n = 12

t = 4

$P(1+\frac{r}{n})^{nt}=300(1+\frac{0.15}{12})^{12 \times 4}$

= $544.61 (to the nearest cent)

Yearly compounding interest rate

$P(1+r)^t$

How much she'll owe in 4 years at yearly compounding interest

$P(1+r)^t=300(1+0.15)^4$

= $524.70 (to the nearest cent)

7 0

2 years ago

A group of students wants to determine the favorite snack food at their school. They know they should use a sample because the s

e-lub [12.9K]

To create a survey and hand them out to different students

7 0

2 years ago

Determine the equation for the quadratic relationship graphed below.

kap26 [50]

Answer:

$\large \boxed{\sf \bf \ \ y=3x^2-6x-1 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

We can read from the graph that the vertex is (1,-4) , it means that the equation is, a being a real number.

$y=a(x-1)^2-4$

And the point (0,-1) is on the graph so we can write.

$a\cdot 1^2-4=-1 \\\\a-4+4=-1+4\\\\a = 3$

So the equation is.

$y=3(x-1)^2-4\\\\=3(x^2-2x+1)-4\\\\=3x^2-6x+3-4\\\\=3x^2-6x-1\\\\=\boxed{3}x^2\boxed{-6}x\boxed{-1}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0

3 years ago

Im bad at this help pls

Alexandra [31]

Answer:

Step-by-step explanation:

because if you unfold the left corner at the top it just becomes a regular rectangle, 15 by 10. 15 x 2 plus 10 x 2 = 54. and 54 x 1.19 is $64.26 therefor it is D.

I actually did the math this time i promise.

6 0

2 years ago

Read 2 more answers

What do i divide in this equation 3(x+3)=7

Paraphin [41]

Answer:x is 1

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers