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Katarina [22]
3 years ago
7

PLEASE GIVE AN EXPLANATION WITH YOUR ANSWER! The table below shows the change in the value of shares over the last three years.

Calculate the percentage change in shares from the start of 2013 to the end of 2015. ​

Mathematics
1 answer:
gulaghasi [49]3 years ago
6 0

First, lets convert them into multipliers:

The multiplier for a:

                             25% increase = 1.25

                             40% decrease = 0.6

                             40% increase  = 1.4

Now to work out the overall percentage change, we just times all of the multipliers together, and convert it back to a percentage:

1.25 x 0.6 x 1.4 = 1.05    

So the overall multiplier is 1.05

And a multiplier of 1.05 = a <u>5% increase</u>.

That means that the percentage change is + 5%

_________________________________________

Answer:

The percentage change in shares from the start of 2013 to the end of 2015 is:

+ 5%

_______________________________________

Note: if you haven't been taught multipliers - then ask and I'll try my best to explain!

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Solve algebrically 3x - 4y = -24 and x + 4y = 8 is x = -4 and y = 3

<u>Solution:</u>

We have been given two equations which are as follows:

3x - 4y = -24   ----- eqn 1

x + 4y = 8   -------- eqn 2              

We have been asked to solve the equations which means we have to find the value of ‘x’ and ‘y’.

We rearrange eqn 2 as follows:

x + 4y = 8

x = 8 - 4y  ------eqn 3

Now we substitute eqn 3 in eqn 1 as follows:

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24 - 12y - 4y = -24

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y = 3

Substitute "y" value in eqn 3. Therefore the value of ‘x’ becomes:

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x = 8 - 12  = -4

Hence on solving both the given equations we get the value of x and y as -4 and 3 respectively.

5 0
3 years ago
Elaine is 8 years younger than her brother Tyler. The sum of their ages is 34. Define a variable and then write and solve an equ
Damm [24]

Answer: Elaine=13 years old Tyler=21 years old

Step-by-step explanation:

Let x = Elaine's age, so her brother Tyler's age = x+8

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             2x+8=34

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Elaine=13 years old

Tyler=21 years old

6 0
3 years ago
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