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AfilCa [17]
3 years ago
13

Pack-Em-In Real Estate is building a new housing development. The more houses it builds, the less people will be willing to pay,

due to the crowding and smaller lot sizes. In fact, if it builds 40 houses in this particular development, it can sell them for $200,000 each, but if it builds 60 houses, it will only be able to get $160,000 each. Obtain a linear demand equation and hence determine how many houses Pack- Em-In should build to get the largest revenue. What is the largest possible revenue?
Mathematics
1 answer:
yan [13]3 years ago
3 0
Can’t help sorry i’m doing a test
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Motion and rate of change derivatives. Attached is the question and where I am stuck, I would really appreciate the help :)
barxatty [35]

Answer:

A. 3 < t < 9

Step-by-step explanation:

When the particle is moving to the right, the velocity is positive.

To find the velocity, take the derivative of s(t) with respect to t.

s(t) = -t³/3 + 13t²/2 − 30t

s'(t) = -t² + 13t − 30

Find when the velocity is 0.

0 = -t² + 13t − 30

0 = t² − 13t + 30

0 = (t − 3) (t − 10)

t = 3, 10

Check the sign of s'(t) in each interval.

0 < t < 3, s'(t) < 0

3 < t < 9, s'(t) > 0

The particle moves to the right when 3 < t < 9.

4 0
4 years ago
erica paid $753.95 for dance classes. She paid $123.95 registration fee and $45 for each week. What is w,the number of weeks eri
PIT_PIT [208]
123.95
+45.00
168.95
-753.95
615.00
5 0
3 years ago
The function​ s(t) represents the position of an object at time t moving along a line. Suppose s(1)=122 and s(4)=209. Find the a
Vladimir [108]
Hmm I read it over and over and I don't exactly understand what they're asking?

5 0
3 years ago
Catherine works a hourly rate of $22.50 and earns double when she works overtime she works 40 regular hours and 12 hours overtim
Zielflug [23.3K]
So it starts by 22.50 regularly so she worked 40 regular hours so $22.50 * 40h= $900 and in over time she gets double for working over time so $22.50 * 2 = $45 and she worked 12 hours so 12h * $45 = $540 then we need to add those two numbers up 900 + $540 = $1,440 is our answer/outcome.
5 0
3 years ago
Please help me-<br><br> ill be your friend if you do-<br><br> hurry please-
ololo11 [35]

Answer: B) 400/3 Pi ft^3

Step-by-step explanation:

V=πr2h

3=π·52·16

3≈418.87902

and

400 /3

(3.141593)

=418.87902

so its B

3 0
3 years ago
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