Answer:
- short-term: $90,000
- long-term: $70,000
Step-by-step explanation:
Let x represent the amount borrowed on the short term. Then 160000-x is the amount of the long-term note. The total interest is ...
0.11x +0.08(160000-x) = 15500
0.03x + 12800 = 15500 . . . . simplify
0.03x = 2700 . . . . . . . . . subtract 12800
x = 2700/.03 = 90,000 . . . . short-term note
160,000 -90,000 = 70,000 . . . . long-term note
The short-term note was for $90,000; the long-term note was for $70,000.
The compound inequality that represents the two following scenarios are:
- 65 < f ≤ 4
- 8 ≤ f ≤ 12
A compound inequality usually puts together two or more simple inequalities statements together.
Following the assumption from the given information that;
- a free single scoop cone = f
<h3>1.</h3>
The age group of individuals designated to receive the free single scoop cones is:
- people who are older than 65 i.e. > 65
- children that are 4 or under 4 i.e. ≤ 4
Thus, the compound inequality that is appropriate to express both conditions is:
<h3>
2.</h3>
- On Tuesdays, the least amount of flavors = 8
- The addition amount of extra flavors they can add = 4
Now, we can infer that the total amount of flavors = 8 + 4 = 12
Thus, the compound inequality that is appropriate to express both conditions is:
- Least amount of flavors ≤ f ≤ total amount of flavors
- 8 ≤ f ≤ 12
Therefore, we can conclude that the compound inequality that represents the two following scenarios are:
- 65 < f ≤ 4
- 8 ≤ f ≤ 12
Learn more about compound inequality here:
brainly.com/question/24540195?referrer=searchResults
Answer:
-1/3
Step-by-step explanation:
By using this equation: 
, we can find the slope of the line. We get -1/3.
Answer:
x = 7.
Step-by-step explanation:
-5x + 18 = 3x - 38
18 + 38 = 3x + 5x
56 = 8x
x = 7.
The point-slope formula is y-y1=m(x-x1). You will then substitute into this equation. The answer will be y-2=-8(x+3).
