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3 years ago

The revenue from selling x shirts is f(x) = 15x.

Mathematics

1 answer:

Virty [35]3 years ago

3 0

Answer:

p(x) = 8x - 20

Step-by-step explanation:

revenue from selling x shirts is f(x) = 15x

The cost of buying x shirts is c(x) = 7x + 20

p(x) = f(x) - c(x)

To solve this, we need to substitute value of f(x) and c(x) in formula for p(x)

p(x) = f(x) - c(x)

p(x) = 15x -( 7x + 20)

=> p(x) = 15x - 7x -20

=> p(x) = 8x -20

Thus, profit is p(x) = 8x - 20.

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4 years ago

The Jackson family went out to dinner. The price of the meal was $43.45. The sales tax was 7% of the price of the meal. The tip

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3 years ago

Someone answer. Will give brainlest

Leto [7]

Area inside the semi-circle and outside the triangle is (91.125π - 120) in²

Solution:

Base of the triangle = 10 in

Height of the triangle = 24 in

Area of the triangle = $\frac{1}{2} bh$

$$=\frac{1}{2} \times 10\times24$

Area of the triangle = 120 in²

Using Pythagoras theorem,

$\text{Hypotenuse}^2=\text{base}^2+\text{height}^2$

$\text{Hypotenuse}^2=10^2+24^2$

$\text{Hypotenuse}^2=100+576$

$\text{Hypotenuse}^2=676$

Taking square root on both sides, we get

Hypotenuse = 23 inch = diameter

Radius = 23 ÷ 2 = 11.5 in

Area of the semi-circle = $\frac{1}{2}\pi r^2$

$$=\frac{1}{2} \pi \times (13.5)^2$

Area of the semi-circle = 91.125π in²

Area of the shaded portion = (91.125π - 120) in²

Area inside the semi-circle and outside the triangle is (91.125π - 120) in².

5 0

3 years ago