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FromTheMoon [43]
3 years ago
12

Answer both parts a and b for full credit.

Mathematics
1 answer:
zhenek [66]3 years ago
7 0

Answer:

a. $94.50

b. 150%

Step-by-step explanation:

A store that sells skis buys them from a manufacturer at a wholesale price of $63. The store’s markup rate is 50%.

a. 50% is equivalent to \frac{1}{2}, this means that the store charge its customers for the skis \frac{1}{2} more than the skis price.

\dfrac{1}{2}\cdot \$63=\$31.50,

then the price of the skis in the store is

\$63+\$31.50=\$94.50

b. Let the original price be 100%, then

$63 - 100%

$94.50 - x%

Write a proportion:

\dfrac{63}{94.5}=\dfrac{100}{x}\\ \\63x=94.5\cdot 100\\ \\63x=9,450\\ \\x=\dfrac{9,450}{63}=150\%

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See explanation

Step-by-step explanation:

Solution:-

- We will use the basic formulas for calculating the volumes of two solid bodies.

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                                  V_c = \pi *r^2*h

- Similarly, the volume of cone ( V_c ) is represented by:

                                  V_c = \frac{1}{3}*\pi *r^2 * h

Where,

               r : The radius of cylinder / radius of circular base of the cone

               h : The height of the cylinder / cone

- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.

- We will represent a proportionality of Volume ( V ) with respect to ( r ):

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Where,

            C: The constant of proportionality

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                              V = (\frac{1}{3} \pi *r^2*h)*a^2

                                          &

                              V = ( \pi *r^2*h)*a^2

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