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anastassius [24]
3 years ago
6

Distance between New York and San Francisco is 2,563.79 miles. A train travels at an average speed of 90 miles per hour. What eq

uation shows the relationship between distance traveled (d), speed (s), and time taken (t)?
Mathematics
1 answer:
TEA [102]3 years ago
4 0
 the equation is d= s(t)    in this problem it'll be 2,563.79= 90(t)  and t would equal 28.48(28.5 rounded to nearest tenth)

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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
P=-3w+9 <br><br><br><br>tell me the steps I already have the steps
anastassius [24]
You're solving for w for I assume.

P= -3w+9, put -3w on the left side and P on the right side.
3w= -P+9, divide both sides by 3.
w= -P+9 over 3.
w= -P over 3 plus  9 over 3.
(Final Answer):
w= -p over 3 plus 3.

Hope this helps. 
4 0
2 years ago
Solve by using square roots. ​ 6x^2−27=39
Bingel [31]

Answer:

Simplifying

x = 11

Step-by-step explanation:

Simplifying

6x + -27 = 39

Reorder the terms:

-27 + 6x = 39

Solving

-27 + 6x = 39

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '27' to each side of the equation.

-27 + 27 + 6x = 39 + 27

Combine like terms: -27 + 27 = 0

0 + 6x = 39 + 27

6x = 39 + 27

Combine like terms: 39 + 27 = 66

6x = 66

Divide each side by '6'.

x = 11

Simplifying

x = 11

6 0
3 years ago
Use the distance formula to find the distance between the points (-3,8) and (-4,-1). Round to the nearest hundredth if necessary
Svetlanka [38]

Answer:

9.05538513

rounded to the nearest hundredth woud be 9.06

Hope this helps!

3 0
3 years ago
Please help me find the length of P.I.
tekilochka [14]
Hopefully this helps!

5 0
1 year ago
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