<h3>
Answer: Choice C</h3>
{x | x < -12 or x > -6}
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Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
Answer: 1. 12-3=9
2. 14-12 =2
Step-by-step explanation:
quick maths
Answer:
x = 18
Step-by-step explanation:
The angle vertically opposite (5x + 2) is also (5x + 2), then
(5x + 2) and (5x - 2) are same- side interior angles and sum to 180° , that is
5x + 2 + 5x - 2 = 180
10x = 180 ( divide both sides by 10 )
x = 18
18 - (9 x 14) This equation represents the sentence.
hope that helps :)
Answer: interest = $ 3,629.34
Step-by-step explanation:
Complete question
(Marlie will be starting college next year, federal unsubsidized student loan in the amount of $18,800 at 4.29%. She knows that during this non-payment time, interest will accrue at 4.29%. Suppose Marlie only paid the interest during her four years in school and the six-month grace period. What will she now pay in interest over the term of the loan.)
This question relates to interest over a single period of time and since it's not compounded, we use formula for simple interest to calculate the interest accrued.
Data;
P = $18,800
R = 4.29% = 0.0429
T = 4.5 years
S.I = ?
S.I = PRT
S.I = 18,800 * 0.0429 * 4.5
S.I = $3,629.34
Therefore she'll need to pay $3,629.34 as interest accrued.
