Original Income = 15,000
New income = 20,000
The percentage Increase in the income can be calculated as:
![\frac{Change}{Original} * 100](https://tex.z-dn.net/?f=%20%5Cfrac%7BChange%7D%7BOriginal%7D%20%2A%20100)
%
The change in income = 20000 - 15000 = 5000
Using the values, we get:
![\frac{5000}{15000}*100](https://tex.z-dn.net/?f=%20%5Cfrac%7B5000%7D%7B15000%7D%2A100%20)
%
=
![33.33](https://tex.z-dn.net/?f=33.33)
%
This means, Pats income increased by 33.33% in a period of ten years
Answer:
Step-by-step explanation:
![average= \frac{sum of scores}{number of tests}](https://tex.z-dn.net/?f=average%3D%20%5Cfrac%7Bsum%20of%20scores%7D%7Bnumber%20of%20tests%7D)
![80= \frac{79+81+77+x}{4}](https://tex.z-dn.net/?f=80%3D%20%5Cfrac%7B79%2B81%2B77%2Bx%7D%7B4%7D)
80 x 4 = 79+81+77+x
320=237 + x
320-237 = x
83=x
so Marianne must score 83 points or higher on her last test
Answer:
x = ±2
Step-by-step explanation:
3x ^2 -4 = 8
Add 4 to each side
3x ^2 -4+4 = 8+4
3x^2 =12
Divide each side by 3
3x^2 =12
3x^2/3 = 12/3
x^2 = 4
Take the square root of each side
sqrt(x^2) = ±sqrt(4)
x = ±2
Answer:
63 yellow marbles
Step-by-step explanation:
You can set up this equation as a proportion:
7/5 = x/45
Divide 45 by 5 to see what 7/5 must be multiplied by to get to x/45.
You should get 9, so also multiply 7 by 9 to get this:
7/5 = 63/45
This shows that there are 63 yellow marbles for 45 green marbles.
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