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Leni [432]
3 years ago
8

The population is 20,000 now and expected to grow at an annual rate of 5%.

Mathematics
1 answer:
zaharov [31]3 years ago
8 0

Answer:

Whats the question?

Step-by-step explanation:

it grows by 5% of 20,000 every year, which is 1,000. So each year it increases by 1,000, and after 20 years the population would have doubled. There is no real question, so I hope this information is enough to help you with your work.

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A glass is
Marrrta [24]

total volume of the glass is }x =200cm^3 .

<u>Step-by-step explanation:</u>

Here we have , A glass is  1/4  full. Then 70cm3 of orange juice is poured in.

The glass is now  3/5  full. We need to find that What is the total volume of the glass . Let's find out :

Suppose that volume of glass is x ,so according to question we have the following equation

\frac{x}{4}+70 = \frac{3x}{5} , Now, solve this to find value of x

⇒ \frac{x}{4}+70 = \frac{3x}{5}

⇒ 70 = \frac{3x}{5}- \frac{x}{4}

⇒ 70 = \frac{3x((4)-x(5)}{5(4)}

⇒ 70 = \frac{12x-5x}{20}

⇒ 70(20) = 12x-5x

⇒ 7x = 1400

⇒ \frac{7}{7}x = \frac{1400}{7}

⇒ }x =200cm^3

Therefore, total volume of the glass is }x =200cm^3 .

5 0
3 years ago
an ice cream factory makes 190 quarts of ice cream in 5 hours how many quarts could be made in 48 hours?what was the rate per da
GREYUIT [131]

190/5= rate per hour 38

38 (rate per hour)*48 (given hours)= 1824 quarts

38(rate per hour)* 24 (hours in a day)= 912 quarts per day

or

1824(quarts made in two days (48 hours))/2=912 quarts per day

7 0
3 years ago
Find the area of the shape shown below.
maw [93]

Answer:

The area is 28.

Step-by-step explanation:

Visualize the rectangle as 2 split squares.

The top square is easily 4x4, so the area of that part is 16.

Now visualize the bottom square as two rectangles.

To find the area of the dented side, you would use the equation of finding the area of a triangle, a=(w x h)\frac{1}{2} because the dented side is actually just one half of the rectangle on the other side.

Since it is the same height as the top square, but is 2 in width, it would be written as a=(2 x 4)\frac{1}{2} . So the area of that part is 4, and the area of the other rectangle would be just 2 x 4 so it is 8.

Totaling these numbers, you get the area of the full rectangle.

8 0
3 years ago
Read 2 more answers
Given: A, B, and C What is the value of X in the matrix equation AX + B = C?
Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}

B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}

C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}

AX + B = C

AX = C - B

C - B = \begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix} = \begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}

C - B = \begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Let  X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}

AX = \begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}

     = \begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}

Since AX = C - B

\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = \begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix} will be the answer.

7 0
3 years ago
If a project will take 35 employees 2,940 hours to complete, how many hours will each employee have to work?
Delvig [45]
2940/35 equals 84 so each employee will have to work 84 hours. 
7 0
3 years ago
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