Answer:
Step-by-step explanation:
4^3 × 4^n = 4^12
Using indices multiplication rule
4^(3+n) = 4^12
4 cancelled out 4
Therefore: 3 + n = 12
n = 12 - 3
n = 9
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let the original price = x
To begin with, we will convert the word problem into an equation as displayed below:
( x / 2 ) - 8 = 18
Now, to find the original price we will simply make ( x ) the subject and solve accordingly as displayed below:
( x / 2 ) - 8 = 18
( x / 2 ) = 18 + 8
( x / 2 ) = 24
x = 24 × 2
x = $48
CHECKING THE ANSWER:
In order to check if the answer is correct, simply substitute the value of x into the original equation and solve. If the left-hand and right-hand side are equivalent, then the answer is correct as displayed below:
( x / 2 ) - 8 = 18
( 48 / 2 ) - 8 = 18
24 - 8 = 18
18 = 18
Therefore, the answer is:
x = $48
Answer:
If we increase the income by 1% that means that the new income would be 1.01 the before one and if we replace this we got:
And the net increase can be founded like this:
![Test score_f -Tet score_i = 557.8 +36.7842 Income- [557.8 +36.42 Income] = 36.7842 Income -36.42 Income = 0.3642](https://tex.z-dn.net/?f=%20Test%20score_f%20-Tet%20score_i%20%3D%20557.8%20%2B36.7842%20Income-%20%5B557.8%20%2B36.42%20Income%5D%20%3D%2036.7842%20Income%20-36.42%20Income%20%3D%200.3642)
So then the net increase would be:
C. 0.36 points
Step-by-step explanation:
For this case we have the following linear relationship obtained from least squares between test scores and the student-teacher ratio:
If we increase the income by 1% that means that the new income would be 1.01 the before one and if we replace this we got:
And the net increase can be founded like this:
So then the net increase would be:
C. 0.36 points
Answer:
-31
Step-by-step explanation:
hope this helped! <3
