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ladessa [460]
2 years ago
12

Francis heard that a car stereo system was on sale for 30% off. If the sale price was $57.75, what was the original price of the

stereo?
Mathematics
2 answers:
kkurt [141]2 years ago
8 0

Answer:

$82.50

Step-by-step explanation:

Francis heard that a car stereo system was on sale for 30% off.

The sale price was $57.75.

Let the original price of the car stereo system be 'x'

sale price = x - (30% of x) = 57.75

x - 0.3x = 57.75

0.7x = 57.75

x =  \frac{57.75}{0.7}

x = 82.5

The original price of the stereo system was $82.50.

Westkost [7]2 years ago
3 0

Answer:

$75.08

Step-by-step explanation:

30% of 57.75 is 17.33

 57.75

+

 17.33

-------------

75.08

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2 years ago
Write the composite function in the form f(g(x)).[Identify the inner function u = g(x)and the outer function
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Answer:

a) (g(x), f(u)) = ( 7*√x , e^u )

b)   y ' = 3.5 * e^(7*√x) / √x

Step-by-step explanation:

Given:

- The given function:

                                       y = e^(7*√x)

Find:

- Express the given function as a composite of f(g(x)). Where, u = g(x) and y = f(u).

- Express the derivative of y, y'?

Solution:

- We will assume the exponent of  the natural log to be the u. So u is:

                                     u = g(x) = 7*√x

- Then y is a function of u as follows:

                                     y = f(u) = e^u

- The composite function is as follows:

                                    (g(x), f(u)) = ( 7*√x , e^u )

- The derivative of y is such that:

                                    y = f(g(x))

                                    y' = f' (g(x) ) * g'(x)

                                    y' = f'(u) * g'(x)

                                    y' = e^u* 3.5 / √x

- Hence,

                                   y ' = 3.5 * e^(7*√x) / √x

                               

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