Jack invested $7,100 in an account paying an interest rate of

The length of a rectangular prism is 12 inches, and its width is 8 inches. The height of the prism is 16 inches. What is the sur

finlep [7]

Answer:

The answer to your question is letter B

Step-by-step explanation:

Data

length = 12 in

width = 8 in

height = 16 in

surface area = ?

Formula

Surface area = 2( length x width) + 2(length x height) + 2((width x height)

Substitution

Surface area = 2(12 x 8) + 2(12 x 16) + 2(8 x 16)

Simplification

Surface area = 256 + 384 + 102

Result

Surface area = 832 in²

7 0

3 years ago

A board game has a spinner with four different options of how a player can move: move forward 1 space, move forward 2 spaces, mo

leva [86]

The answers are:

A. 7/12

B. 5/12

4 0

2 years ago

Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different

N76 [4]

Answer:

(a) As time increases, the amount of water in the pool increases.

11 gallons per minute

(b) 65 gallons

Step-by-step explanation:

From inspection of the table, we can see that as time increases, the amount of water in the pool increases.

We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.

The rate at which the water is increasing is the rate of change (which is also the slope of a linear function).

Choose 2 ordered pairs from the table:

$\textsf{let}\:(x_1,y_1)=(8, 153)$

$\textsf{let}\:(x_2,y_2)=(12,197)$

Input these into the slope formula:

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11$

Therefore, the rate at which the water in the pool is increasing is:

11 gallons per minute

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

$y-y_1=m(x-x_1)$

$\implies y-153=11(x-8)$

$\implies y-153=11x-88$

$\implies y=11x-88+153$

$\implies y=11x+65$

When Ann had added no water, x = 0. Therefore,

$y=11(0)+65$

$y=65$

So there was 65 gallons of water in the pool before Ann starting adding water.

3 0

2 years ago

Read 2 more answers

The amount $180.00 is what percent greater than $135.00?

svp [43]

It would be: 180/135 * 100 = 36/27 * 100
= 4/3 * 100
= 400/3 = 133.33

It means, 180 is 133.33% of 135. So, the difference would be: 133.33 - 100 = 33.33%

In short, Your Final Answer would be 33.33%

Hope this helps!

5 0

3 years ago

Read 2 more answers

A company rents out 15 food booths and 23 game booths at the county fair. The fee for a food booth is $75 plus $9 per day. The f

Lapatulllka [165]

Answer:

M = 2620 + 16d

M = total money paid or earned

d = # of days

Step-by-step explanation:

15 food

23 game

Total Money = M = 15 * 75 + 9 d + 23* 65 + 7d

M = 15 * 75 + 9 d + 23* 65 + 7d

M = 1125 + 1495 + 16d

M = 2620 + 16d

5 0

3 years ago