Graph.<br><br> f(x)=2|x+2|+1<br><br> Use the Ray tool to graph the absolute value function.

A bookstore costs $96 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the

asambeis [7]

Answer: The break even point is when they have sold 16 books and have made $288

Step-by-step explanation: The costs are modeled in the equation y = 12x + 96. x is the number of books sold.

The earnings are modeled by he equation y = 18x.

Substitute 18x for y and solve for x.

18x = 12x + 96 Subtract 12x from both sides.

6x = 96 Divide both sides by 6

x = 16

Substitute into the original equations to solve for y

y = 12(16) + 96

y = 192 + 96

Y = 288

y = 18(16)

y = 288

7 0

2 years ago

The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his

steposvetlana [31]

The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>

<em><u>Recall:</u></em>

Volume of a spherical shape = $\frac{4}{3} \pi r^3$

Volume of a rectangular prism = $l \times w \times h$

<em><u>Given:</u></em>

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

First, find the volume of the basketball:

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\$

Volume of basketball = $448.92 $ in^3$

Convert to $ft^3$

$1728 $ in.^3 = 1 $ ft^3$

<em>Therefore,</em>

Volume of basketball = $\frac{448.92}{1728} = 0.26 $ ft^3$

Find the volume of the office (rectangular prism):

Volume of the office = $20 \times 18 \times 12 = 4,320 $ ft^3$

Number of basket ball that will fill the office = Volume of office / volume of basketball

<em>Thus:</em>

Number of basket ball that will fill the office = $\frac{4,320}{0.26} = 16,615$

Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.

Learn more here:

brainly.com/question/16098833

6 0

2 years ago

If the simple interest on $6000 for 9 years is $2160, then what is the interest rate?

NISA [10]

Step-by-step explanation:

5 0

2 years ago

The U.S. Mint produces quarters that weigh about 5.67 grams each. After the

lesantik [10]

The U.S. Mint makes commercial circulation coins including commemorative collection's coins including investor bullion coins.
In the case of circular coins, the quantities were measured in terms of figures for "production" numismatic categories in order "sales" and bullion "mintage" statistics.