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Mama L [17]
3 years ago
9

EASY POINTS PLEASE HELP ASAP

Mathematics
2 answers:
Yakvenalex [24]3 years ago
8 0

Answer:

X=6

Step-by-step explanation:

Subtract 1 from 2.5 to get 1.5

Multiply by 4 to get 6

So, X=6

Soloha48 [4]3 years ago
6 0

Answer:

x=6

Step-by-step explanation:

6/4=1.5

and 1.5+1=2.5

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Demand for Tablet Computers The quantity demanded per month, x, of a certain make of tablet computer is related to the average u
soldier1979 [14.2K]

x = f ( p ) = \frac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } } \\\\ \qquad { p ( t ) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \quad ( 0 \leq t \leq 60 ) }

Answer:

12.0 tablet computers/month

Step-by-step explanation:

The average price of the tablet 25 months from now will be:

p ( 25) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { 25 } } + 200 \\= \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \times 5 } + 200\\\\=\dfrac { 400 } { 1 + \dfrac { 5 } { 8 } } + 200\\p(25)=\dfrac { 5800 } {13}

Next, we determine the rate at which the quantity demanded changes with respect to time.

Using Chain Rule (and a calculator)

\dfrac{dx}{dt}= \dfrac{dx}{dp}\dfrac{dp}{dt}

\dfrac{dx}{dp}= \dfrac{d}{dp}\left[{ \dfrac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } }\right] =-\dfrac{100}{9}p(810,000-p^2)^{-1/2}

\dfrac{dp}{dt}=\dfrac{d}{dt}\left[\dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \right]=-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}

Therefore:

\dfrac{dx}{dt}= \left[-\dfrac{100}{9}p(810,000-p^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}\right]

Recall that at t=25, p(25)=\dfrac { 5800 } {13} \approx 446.15

Therefore:

\dfrac{dx}{dt}(25)= \left[-\dfrac{100}{9}\times 446.15(810,000-446.15^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt {25} \right]^{-2}25^{-1/2}\right]\\=12.009

The quantity demanded per month of the tablet computers will be changing at a rate of 12 tablet computers/month correct to 1 decimal place.

8 0
3 years ago
Kaylee has $100 to put toward purchasing a computer and plans on paying $30 a month until she pays off the value of the computer
yKpoI14uk [10]

Answer:

y=100-30x

Step-by-step explanation:

3 0
3 years ago
Is the point (1,-3) a solution to the system? show all your work <br><br>y&gt;x-1<br>y &gt;-x+2
vagabundo [1.1K]

Answer:

To determine if the point is a solution, substitute the x value into the right side of the inequality and compare the result with the y value of the point.

- x + 2 = - 1 + 2 = 1

Now - 3 < 1

Thus (1, - 3) is not a solution

Step-by-step explanation:

6 0
3 years ago
What is the value of the expression when a = 4, b = 3 ,and c = 10?<br><br> 3a4b−c
Zielflug [23.3K]

Answer:

3*4 3a=

4*3 4b=

-c=

3a4b-c=134

7 0
3 years ago
What is the following product? Square root 30 times sqrt 10
xxTIMURxx [149]

Answer:

17.321

Step-by-step explanation:

7 0
3 years ago
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