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3 years ago

Bryan needs to finish a book for

Mathematics

1 answer:

Galina-37 [17]3 years ago

4 0

Answer:

22.5 pages per week

Step-by-step explanation:

Considering that After 2 weeks, he has read

45 pages, and after 6 weeks, he has

read 135 pages

Difference in weeks = 6-2=4 weeks

Difference in pages=135-45=90

Rate per week will be 90÷4=22½ pages per week

To prove this

If 1 week is 22½

2 weeks will be 2*22½=45

6 weeks will be 6*22½=135

Therefore, the reading rate is 22.5 or 22½ pages per week

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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

Whitepunk [10]

Answer:

0.32 decay

Step-by-step explanation:

3 0

2 years ago

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

What is the solution of the equation x − 2 = 29? -31 -27 27 31

Allisa [31]

31-2=29 you add 2 to both sides so -2 cancels and you are left with X=31

the answer is 31

5 0

3 years ago

Find the measure of the missing angles .

maw [93]

Answer:

d = 90°

e = 41°

f = 139°

Step-by-step explanation:

d + 90° = 180° (Angles in linear pair)

-> d = 180° - 90°

-> d = 90°

e = 41° (vertical angles)

f + 41° = 180° (Angles in linear pair)

-> f = 180° - 41°

-> f = 139°

5 0

2 years ago

Find the product of the binomials. (a +1) and (a -1)

yan [13]

Answer:

a^2-1

Step-by-step explanation:

(a+1)(a-1)

=a^2-1

6 0

2 years ago