All categories

2 years ago

20. What is the total cost of a $20 item after adding 5% sales tax?

Mathematics

1 answer:

marissa [1.9K]2 years ago

7 0

<h3>Answer: Choice B</h3>

Work Shown:

1.05*20 = 21

The 1.05 represents an increase of 5% because

100% + 5% = 1.00 + 0.05 = 1.05

You might be interested in

Can you help me to do this please?Finding the inverse of each function

marusya05 [52]

Let

$y=-\frac{3}{x+1}+2$

Find the equation in terms of y in the form x = f(y).

$\begin{gathered} y-2=\frac{-3}{x+1} \\ x+1=\frac{-3}{y-2} \\ x=\frac{-3}{y-2}-1 \end{gathered}$

Replace y by x in the right hand side, which will be the required inverse of the function.

$g^{-1}(x)=-\frac{3}{x-2}-1$

3 0

1 year ago

A ladder 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2

alukav5142 [94]

Answer:

0.17 °/s

Step-by-step explanation:

Since the ladder is leaning against the wall and has a length, L and is at a distance, D from the wall. If θ is the angle between the ladder and the wall, then sinθ = D/L.

We differentiate the above expression with respect to time to have

dsinθ/dt = d(D/L)/dt

cosθdθ/dt = (1/L)dD/dt

dθ/dt = (1/Lcosθ)dD/dt where dD/dt = rate at which the ladder is being pulled away from the wall = 2 ft/s and dθ/dt = rate at which angle between wall and ladder is increasing.

We now find dθ/dt when D = 16 ft, dD/dt = + 2 ft/s, and L = 20 ft

We know from trigonometric ratios, sin²θ + cos²θ = 1. So, cosθ = √(1 - sin²θ) = √[1 - (D/L)²]

dθ/dt = (1/Lcosθ)dD/dt

dθ/dt = (1/L√[1 - (D/L)²])dD/dt

dθ/dt = (1/√[L² - D²])dD/dt

Substituting the values of the variables, we have

dθ/dt = (1/√[20² - 16²]) 2 ft/s

dθ/dt = (1/√[400 - 256]) 2 ft/s

dθ/dt = (1/√144) 2 ft/s

dθ/dt = (1/12) 2 ft/s

dθ/dt = 1/6 °/s

dθ/dt = 0.17 °/s

8 0

3 years ago

The diagonal of a square is 15 inches. Find the area of the square.

Cerrena [4.2K]

Answer:

112.5in²

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

suppose the population of a certain city is 5355 thousand. It is expected to decrease to 4566 thousand in 50 years. Find the per

xz_007 [3.2K]

Answer: 14.7338936% decrease

$\frac{5355}{100} = \frac{4566}{x}$

cross-multiply

85.2661064 = x

100 - 85.2661064 = 14.7338936

Check: 0.852661064 * 5355 = 4566

If permitted, you may round for a simpler (yet less precise and exact) answer. For instance, rounding to the hundredths would make it ~14.73%.

5 0

3 years ago

A line passes through the points (0, 2) and (2, –2) . what is the slope of the line

KIM [24]

Do you have a better picture?

3 0

4 years ago