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taurus [48]
3 years ago
6

Find the 12th term of the given explicit geometric formula. f(n) =3(2)^ n-1

Mathematics
1 answer:
morpeh [17]3 years ago
5 0

Answer:

2

Step-by-step explanation:

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The function P(x) = –0.015x^2 + 1.2x – 11.5 gives the profit, in thousands of dollars, when a company sells a new product at x d
dlinn [17]

Answer:

The profit decreases by $ 375 for every $ 1 increase in the selling price.

Step-by-step explanation:

From the definition of the secant line we get that the average rate of change of P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5, where x is the selling price of the product, measured in dollars per unit, is:

r = \frac{P(55)-P(50)}{55-50} (1)

Now we evaluate the function at each bound:

x = 50

P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5

P(50) = 11

x = 55

P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5

P(55) = 9.125

Then, the average rate of change is:

r = \frac{9.125-11}{55-50}

r = -0.375

Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.

8 0
3 years ago
Nancy and Karen went on a trip to the mountain. Nancy started her trip 30 minutes later than Karen. They started from the same p
Katyanochek1 [597]
Distance = (rate)(time)
In this problem, note that both girls traveled the same distance.

Karens distance = r * 1.5 hrs          we dont know her rate
Nancy distance = 50 * 1 hr              we know she started 30 min later
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since the distances are equal
r*1.5 = 50 * 1          all you have to do is solve for r

1.5r = 50
r = 50/1.5
r = 33 1/3 miles per hour
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105+50=155 so 180 subtract 155 is 25

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