All categories

2 years ago

20. Rafael has a business selling computers. He buys computers from the manufacturer for $450

Mathematics

1 answer:

Licemer1 [7]2 years ago

4 0

Answer: D , p = n (800 - 450) - 3000

Step-by-step explanation: Firstly, you have to account for how much money Rafael is making off of each computer (800 - 450). That factor is then multiplied by the variable "n" which represents the amount of computers sold. Lastly, since this is an equation to calculate his monthly profits, you have to subtract the rent that he is paying ($3000) from the total profit that he made off of selling the computers. Therefore, giving you the equation

P (profit) = n (amount of computers sold) (800-450) - 3000 (rent).

You might be interested in

What is the meaning os slpoe in math and please give an example for <br><br> y=2x-1;(-2,2)

alexira [117]

Slope is your 2x, so 2x over 1 meaning after you plot (-2,2) on the graph you rise 2 and go 1 to the right, or do the opposite to make the line so go down 2 and one to the left. Hope that helped.

6 0

2 years ago

The arc of the parabola y = x^2 from (3,9) to (4,16) is rotated about the y-axis. Find the area of the resulting surface. Please

Hitman42 [59]

Answer:

156.5

Step-by-step explanation:

Thinking process:

The area can be calculated using the formula:

$S = \int\limits^4_3 {2\pi x\sqrt{1+}(2x)^{2} } \, dx$

We let the substitution take place.

Therefore, we let $u = 1 + 4x^{2}$

Thus, $du = 8dx.$

So,

$xdx = \frac{1}{8}du$

Also, the interval of the integration changes to [ 37, 65]

Thus,

$S = \int\limits^4_3 {2\pi \sqrt{1+4x^{2} } } \, dx \\= \int\limits^65_35 {2\pi \sqrt{\frac{1}{8}u } } \, dx$

= $\frac{1}{6} [ 65^{\frac{3}{2}-37^{\frac{3}{2} } }$

= 156.5 units²

8 0

2 years ago

1. What are two numbers that multiply to make -24 and sum to make -5?

charle [14.2K]

1) -8 and 3
because -8+3= -5 and -8x3=24
2) -8 and -5
because -8-5=-13 and -8x-5=40

8 0

2 years ago

Consider the figure below where l2 intersects l1 and m∠2=90°.

mina [271]

Layla bu la 520 and glue 729

3 0

3 years ago

A poll agency reports that 75% of teenagers aged 12-17 own smartphones. A random sample of 234 teenagers is drawn. Round your an

GalinKa [24]

Answer:

If our random variable of interest for this case is X="the number of teenagers between 12-17 with smartphone" we can model the variable with this distribution:

$X \sim Binom(n=234, p=0.75)$

And the mean for this case would be:

$E(X) =np = 234*0.75= 175.5$

And the standard deviation would be given by:

$\sigma =\sqrt{np(1-p)}= \sqrt{234*0.75*(1-0.75)}= 6.624$

Step-by-step explanation:

If our random variable of interest for this case is X="the number of teenagers between 12-17 with smartphone" we can model the variable with this distribution:

$X \sim Binom(n=234, p=0.75)$

And the mean for this case would be:

$E(X) =np = 234*0.75= 175.5$

And the standard deviation would be given by:

$\sigma =\sqrt{np(1-p)}= \sqrt{234*0.75*(1-0.75)}= 6.624$

3 0

3 years ago