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GrogVix [38]
3 years ago
5

Find the circumference of the circle whose radius is 3inches.

Mathematics
1 answer:
Margarita [4]3 years ago
5 0

Answer:

A 6pi inches

Step-by-step explanation:

Formula for circumference is 2pir

2*3=6

6*pi=6pi

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A cyclist rides his bike at a rate of 8 miles per hour. What is this rate in kilometers per hour? How many kilometers will the c
lbvjy [14]
The rate,

v=8\ \ miles/h=8\times1.6\ \ km/h=12.8 km/h

The space,

s=v\times t=12.8\times2=25.6 km

8 0
3 years ago
The manager of a large apartment complex knows from experience that 120 units will be occupied if the rent is 450 dollars per mo
Sphinxa [80]

Answer:

To maximize revenue, the manager should charge $525

Step-by-step explanation:

Given.

Rent = $450.

Unit = 120

Yes assume our function to be F(x).

To maximise F(x), the function will be based how much of the available units (x) is less than the initial 120 units with a corresponding increase in revenue dollars of 5x above the initial revenue.

Initial Revenue = 450 * 120 = $54,000

F(x) = (120 - x)(450 + 5x)

Converting this into standard quadratic form;

F(x) = 54000 + 600x - 450x - 5x²

F(x) = 54000 + 150x - 5x²

F(x) = -5x² + 150x + 54000

Using axis of symmetry formula

(x = -b/2a) for a parabola to determine the x coordinate of the function's vertex (maximum point):

F(x) = -5x² + 150x + 54,000

Where a = -5

b = 150

x = -b/2a

x = -150/2(-5)

x = -150/-10

x = 15 units less than 120

Next is to calculate the corresponding value of F(x) .

By Substitution

F(x) = -5(15)² + 150(15) + 54000

F(x) = -1125 + 2250 + 54000

F(x) = 55,125 --- Maximum Revenue

Calculating the optimum monthly rent based upon the maximum revenue dollars divided by by the previously determined number of units (15) less than the initial 120 units:

Monthly Rent = 55,125/(120 - 15)

Monthly Rent = 55,125/105

Monthly Rent = $525

To maximize revenue, the manager should charge $525

5 0
3 years ago
Is 2/3 greater than 7/8
ohaa [14]
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3 0
3 years ago
Read 2 more answers
Practice exercise 1-5 number line
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Answer:

Wait there is no exercise 1-5 number line maybe its like this?  1-2-3-4-5    

                                                                                                         ^2

Step-by-step explanation:

5 0
3 years ago
Solve the equation.<br> –10x +1+ 7x= 37<br> Ox= -15<br> Ox = -12<br> Ox = 12<br> Ox = 15
erastova [34]

Answer:

Ox = 12

Step-by-step explanation:

4 0
3 years ago
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