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3 years ago

A new car's original price is $13,999. If it's on sale for 10% off, what's the new price?

1 answer:

8 0

To find new price after discount we are going to find 10% of $13,999.00, then subtract the discount amount from $13,999.00.

13,999.00 × ¹⁰/₁₀₀ = $1,399.90

13,999.00 - 1,399.90 = $12,599.10

Therefore, new price = $12,599.10

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Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = ta

Irina-Kira [14]

Answer:

The inner function is $u = \pi x$ .

The outer function is $f(u) = \tan{u}$ .

$\frac{dy}{dx} = y^{\prime} = \sec^{2}(u)*\pi = \pi\sec^{2}{\pi x}$

Step-by-step explanation:

The inner function is the one we apply the outer function to.

$y = \tan{\pi x}$

We apply the outer function tangent to $\pi x$ .

So, the inner function is $u = \pi x$ .

The outer function is $f(u) = \tan{u}$ .

The derivative of a compositve function

$y = f(u)$ in which $u = g(x)$ is given by the following function.

$y^{\prime} = f^{\prime}(u)*g^{\prime}(x)$

$f(u) = \tan{u}$

$f^{\prime}(u) = \sec^{2}{u}$

$u = g(x) = \pi x$

$g^{\prime}(x) = \pi$

$y^{\prime} = f^{\prime}(u)*g^{\prime}(x)$

$\frac{dy}{dx} = y^{\prime} = \sec^{2}(u)*\pi = \pi\sec^{2}{\pi x}$

7 0

3 years ago

A circular mat has a circumference of 220 centimeters. Find the radius rounded to the nearest whole number.

Papessa [141]

С = 2πr [π≈3.14]

220 = 2 * 3.14 * r
220 = 6.28r
r = 220/6.28 ≈ 35 cm ← <span>to the nearest whole number.</span>

6 0

3 years ago

Find the distance between the points 3,7 and 15, 12 on the coordinate plane?

lana [24]

$\text{Distance } = \sqrt{ (x_2 -x_1)^2 + (y_2 - y_1)^2}$

$\sqrt{ \left( 15 - 3\right)^2 + \left( 12 - 7\right)^2}\\\\\sqrt{\left( 12\right)^2 + \left( 5\right)^2}\\\\\sqrt{ 144 + 25 }\\\\\\ \sqrt{ 169 } = \boxed{\bf{ 13}}$

8 0

3 years ago

Find the new price for the markdown. Round to the nearest cent if necessary. $12.99 marked down 25%

Y_Kistochka [10]

$9.74

I like to do these equations backwards and multiply the first number by the opposite of it. ( think 1- the percent as a decimal) however, you can do this by converting the percent into a decimal and then subtracting that from the original number.

Have a great day!

8 0

3 years ago

Find the principal square root of 14.

Anika [276]

Sqrt14 = 3.74 (2dp)

The principal root is always the positive.

5 0

3 years ago