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Dominik [7]
2 years ago
5

The number of members in a labor union is 240, and the number increases by 5% each year. Find the number of members after 4 year

s
Mathematics
1 answer:
devlian [24]2 years ago
4 0

~~~~~~ \textit{Union Members Earned Amount}\\\\A=P(1+rt)\qquad\begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount}\dotfill & 240\\r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\t=years\dotfill &4\end{cases}\\\\\\A=240[1+(0.05)(4)]\implies A=240(1.2)\implies A=288

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The graph of the equation y=−5x+b goes through the point A(5, −2). Find the value of b.​
TEA [102]

Answer:

23

Step-by-step explanation:

y+2=-5(x-5)

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subtract 2 from the left side and subtract it from the 25

y=-5x+23

7 0
3 years ago
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Solve the system of equations.<br> y= 3x +5<br> y= 8x +3
Lady bird [3.3K]

Answer:

y=6.2 and x=0.4 or (0.4,6.2)

Step-by-step explanation:

Since both expressions are equal to y, we can set them equal to each other and solve for x:

3x+5=8x+3

5=5x+3

2=5x

2/5=x

0.4=x

Now to solve y:

y=8(2/5)+3

y=16/5+3

y=3.2+3

y=6.2

Check answers:

6.2=3(0.4)+5

6.2=1.2+5

6.2=6.2

6.2=8(0.4)+3

6.2=3.2+3

6.2=6.2

Answers work, so y=6.2 and x=0.4 or (0.4,6.2) as an ordered pair

5 0
3 years ago
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Is x = 6 a solution to the equation 5(x – 3) = x + 13?
deff fn [24]

Answer:

x=6 is not a solution

Step-by-step explanation:

We can substitute 6 as x to find out:

5(6-3)=6+13

first, because of PEMDAS we'll do 6-3

5(3)=6+13

multiply 5 by 3 and add 6 and 13

15=19

Since the statement is not true, that means that x=6 is not a solution

Hope this helps!

8 0
3 years ago
Lionel gave 1/2 of his baseball cards to Rick. He gave his brother 1/2 of what was left. He then had 12 cards left. How many did
Salsk061 [2.6K]
C. 48

If Lionel started with 48, and he gave 1/2 of them to Rick (24), then he is left with 24. If he then gives his brother 1/2 of that (12) then he has 12 left.
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3 years ago
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Find the area of the following rectangle,
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Answer:

55/72 feet squared

Step-by-step explanation:

The area of a rectangle is Length x Height, or Width x Height.

Here, we have a width of 5/6 feet and a height of 11/12 feet.

We multiple 5/6 and 11/12 to get 55/72 feet squared.

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3 years ago
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