Answer:
So 912$ is 58% of 1584 $
Step-by-step explanation:
Using decimal multipliers, it is found that the value of x is of 16.67.
<h3>What is a decimal multiplier?</h3>
Increases of a% or decreases of a% re represented by decimal values, as follows:
- The equivalent multiplier for an increase of a% is given by:
![\frac{100 + a}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B100%20%2B%20a%7D%7B100%7D)
- The equivalent multiplier for an decrease of a% is given by:
![\frac{100 - a}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B100%20-%20a%7D%7B100%7D)
In this problem:
- The price at the beginning of January was of a.
- Increase of 20% in January, hence
.
- Decrease of 20% in February, hence
.
- Increase of 25% in March, hence
.
- Decrease of x% in April, hence
![1.2(0.8)(1.25)\left(\frac{100 - x}{100}\right)a](https://tex.z-dn.net/?f=1.2%280.8%29%281.25%29%5Cleft%28%5Cfrac%7B100%20-%20x%7D%7B100%7D%5Cright%29a)
The price of gasoline at the end of April was the same as it had been at the beginning of January, hence:
![a =1.2(0.8)(1.25)\left(\frac{100 - x}{100}\right)a](https://tex.z-dn.net/?f=a%20%3D1.2%280.8%29%281.25%29%5Cleft%28%5Cfrac%7B100%20-%20x%7D%7B100%7D%5Cright%29a)
![1.2\left(\frac{100 - x}{100}\right) = 1](https://tex.z-dn.net/?f=1.2%5Cleft%28%5Cfrac%7B100%20-%20x%7D%7B100%7D%5Cright%29%20%3D%201)
![\left(\frac{100 - x}{100}\right) = \frac{1}{1.2}](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B100%20-%20x%7D%7B100%7D%5Cright%29%20%3D%20%5Cfrac%7B1%7D%7B1.2%7D)
![\frac{100 - x}{100} = 0.8333](https://tex.z-dn.net/?f=%5Cfrac%7B100%20-%20x%7D%7B100%7D%20%3D%200.8333)
![100 - x = 83.33](https://tex.z-dn.net/?f=100%20-%20x%20%3D%2083.33)
![x = 16.67](https://tex.z-dn.net/?f=x%20%3D%2016.67)
The value of x is of 16.67.
To learn more about decimal multipliers, you can take a look at brainly.com/question/24952336
Answer: the answer is A
Step-by-step explanation: because the original question does not state that the swimmer “randomly selected” the members. It only says the swimmer “selects” 10 members. Therefore, it is A (The sample is not random)
youre welcome
Answer: D. Maintaining the same width of the compass as AB, draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Took the test.
Answer:
She will have $73.5 in 1 year
Step-by-step explanation:
She has $70 and the interest rate is 5% so we need to add 5% to the initial value
x = $70 + $70 * 5%
5% = 5/100
x = $70 + $70 * 5/100
x = $70 + $3.5
x = $73.5
She will have $73.5 in 1 year