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2 years ago

The price in dollars of a stereo system is given by p(q) = (1000/q2)+1000 where q represents the demand of the product.

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

5 0

Answer:

a) r(q) = 1000(q +1/q)

b) r'(q) = 1000(1 -1/q^2)

c) r'(10) = 990

Step-by-step explanation:

a) Revenue is the product of quantity and price:

r(q) = q·p(q) = q(1000(1 +1/q^2))

r(q) = 1000(q + 1/q)

b) The derivative is ...

r'(q) = 1000(1 -1/q^2)

c) The derivative evaluated for q=10 is ...

r'(10) = 1000(1 -1/10^2) = 1000(0.99)

r'(10) = 990

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2 years ago

A company manufactures penny number 2 nails that are 1 inch in length. The actual length is allowed to vary by up to \displaysty

Diano4ka-milaya [45]

The absolute value equation representing the length of the nail is :

$\frac{31}{32} \leqslant x \leqslant 1 \frac{1}{32}$

A nail of length 1.05 inches is unacceptable

Actual Length of nail = 1 inch

Allowable variation = 1/32 inches

The minimum allowable length :

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The maximum allowable length :

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The length of X, of the nail must be follow the equation :

Minimum ≤ X ≤ maximum

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Maximum nail length = 1 1/32 = 1.031

1.05 > 1.031 ; hence, it is greater than the maximum allowable length and hence, Unacceptabe

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2 years ago

in 10 minutes a heart beats 700 time how many minutes will a heart beat 140 times? At what rate can a heart beat?

posledela

Answer:

A heart will beat 140 times in 2 minutes

Step-by-step explanation:

700 ÷ 10 = 70

140 ÷ 70 = 2

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2 years ago

A spinner with 10 equally sized slices is shown below. (3 slices are blue, 2 are yellow, and 5 are rec the probability that the

Ainat [17]

Answer:

1/2

Step-by-step explanation:

Blue + yellow = 3 + 2 = 5 out of 10 slices

5 out of 10 = 5/10 = 1/2

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2 years ago

Select from the following choices those graphs that represent only a dilation applied to this polygon with a scale factor great

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Answer:

B and C

Step-by-step explanation:

Required

Select graphs that are dilated by a scale factor greater than 1

For graph A:

Graph A is smaller than the original graph. This indicates dilation with a scale factor less than 1

For graph B:

Graph B is bigger than the original graph and is dilated over (0,0). This indicates dilation with a scale factor greater than 1

For graph C:

Graph C is bigger than the original graph; however, it is not dilated over (0,0). This indicates dilation with a scale factor greater than 1

For graph D:

Graph D is bigger than the original graph; however, it is not only dilated but also flipped over (i.e. rotated).

<em>Hence, b and c is true</em>

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2 years ago