Answer:
(1) For x = –12, g (x) = -9
For x = –9, g (x) = -3
For x = –6, g (x) = 3
For x = –3, g (x) = 9
(2) The principal amount of money is $80.
Step-by-step explanation:
(1)
The expression of g (x) is,

The complete table is:
x g (x)
-15 
-12 
-9 
-6 
-3 
0 
(2)
The formula for simple interest is:

Given:
I = $40
r = 10%
t = 5 years.
Compute the value of <em>P</em> as follows:



Thus, the principal amount of money is $80.
Answer: We are given:

We need to find the z scores for the following vacation expense amounts:
$197, $277, $310
We know that z score formula is:

When
, the z score is:



When
, the z score is:



When
, the z score is:



Therefore, the z scores for the vacation expense amounts $197 per day, $277 per day, and $310 per day are -0.83, 0.5 and 1.05 respectively
The answer is 35 because it in beetween 20 and 50
Answer:
14t + 58 ≤ 150
Step-by-step explanation:
If she cannot spend more than what she has, which is 150, the inequality sign has to be "less than or equal to". It's ok if she spends less than 150, but not ok if she spends more, because she doesn't have it to spend.
We know the cost of 1 pair of jeans is 58. Now she wants to make up the difference by getting as many $14 shirts as possible (the number of shirts being our unknown).
That means that the cost of the jeans PLUS the unknown number of shirts cannot exceed 150.
Therefore, the inequality is:
14t + 58 ≤ 150