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Akimi4 [234]
3 years ago
5

Margaret runs a business. This year’s revenue is given by the function

Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0

Answer:

No, she can make less than $25000 according to the calculation

Step-by-step explanation:

Given the revenue function expressed as R = −0.5x2 − 200x, Margaret revenue will be at the maximum if dR/dx = 0

dR/dx = -2(0.5)x -200

dR/dx = -x -200

Since dR/dx = 0

-x-200 = 0

x = -200

Substitute x = -200 into the function.

R = −0.5x^2 − 200x

R = −0.5(-200)^2 − 200(-200)

R = -0.5(40000)+40000

R = -20000+40000

R = 20000

This means that the revenue for the year is $20,000 which shows that her revenue cannot be at least $25000 for that year but she could make less than $25000

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Sergio [31]

The expression to find the value of the final angle of the triangle will be 180° - 40° - α.

<h3>How to solve the triangle?</h3>

Your information is incomplete as the triangle isn't attached. Therefore, an overview will be given.

Firstly, it's important to know that the total angle in a triangle is 180°. A triangle has three sides. In this case, angle B is given as α.

Let's assume that another angle is given as 40°. Therefore, the expression to find the value of the final angle will be 180° - 40° - α

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7 0
2 years ago
What is the probability that five randomly selected students will have a mean score that is greater than the mean achieved by th
katrin2010 [14]

Answer:

the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096

Step-by-step explanation:

From the five randomly selected students ; 160, 175, 163, 149, 153

mean average of the students = 160+175+163+149+153/5

= mean = x-bar = 800/5

mean x-bar = 160

from probability distribution, P(x-bar > 160) = P[ x-bar - miu / SD > 160 -150.8 /3.94]

P( Z>2.34) = from normal Z-distribution table

= 0.0096419

= 0.0096

hence the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096

where SD = standard deviation = 3.94 and Miu = 150.8

5 0
3 years ago
The town of Madison has a population of 25000 The population is increasing by a factor of 1.12 each year.
Fudgin [204]

Answer:

P(t) = 25,000*1.12^t

Step-by-step explanation:

The populational growth is exponential with a factor of 1.12 each year. An exponential function has the following general equation:

y(x) = ab^x

Where 'a' is the initial population (25,000 people), 'b' is the growth factor (1.12 per year), 'x' is the time elapsed, in years, and 'y(x)' is the population after 'x' years.

Therefore, the function P(t) that models the population in Madison t years from now is:

P(t) = 25,000*1.12^t

8 0
3 years ago
Read 2 more answers
BRAINLIEST
kenny6666 [7]

Answer:

B. 1 1/3

Step-by-step explanation:

\frac{5}{6} + \frac{3}{6} = \frac{8}{6}

\frac{8}{6} = \frac{4}{3}

three can go into 4 once, so we have a whole number of 1 and a leftover 1/3.

= 1\frac{1}{3}

hope this helps :)

4 0
2 years ago
Read 2 more answers
A can in the shape of a right cylinder is filled with 10W-40 oil. The weight of 10W-40 oil is 0.857 gram per cubic centimeter. I
Leya [2.2K]
To solve this, we have to find the volume of the cylinder first.  The formula to be used is V =  \pi  r^{2} h

Given:V= ?r= 6cmh= 10cm
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V= (3.14)(6cm)^{2} x 10cmV= (3.14)(36cm^{2}) x 10cmV= (113.04cm^{2}) x 10cmV= 1130.4cm^3
Finding the volume of the cylinder, we can now solve what the weight of the oil is.  Using the formula of density, Density = mass/volume, we can derive a formula to get the weight.
Given:Density = 0.857 gm/cm^3Volume = 1130.4 cm^3
Solution:weight = density x volumew= (0.857 gm/cm^3) (1130.4cm^3)w= 968.7528 gm
The weight of the oil is 968.75 gm.
5 0
3 years ago
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