Answer:
Step-by-step explanation:
Before number line can be drawn, there is need to find the value of x in the inequality given. Thus,
Divide both sides by 2
The number line is indicated in the attached picture.
Answer:
You should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.
Step-by-step explanation:
Using the formula
where
I = Interest earned
P = The principal (let say in $)
r = The Interest Rate
t = time
Given that
- P = The principal amount needed to invest (let say in $)
Thus,
100 = P × 5% × 1
100 = P × 5/100 × 1
100 × 100 = P × 5
10000 = P × 5
P = 10000/5
= 2000 (let say in $)
Thus, you should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.
Answer:
Zabato is thinking of 6
Step-by-step explanation:
I first set it up as an equation based on the word problem you have given me
(n + 10)3 = 8n
Distribute the 3
3n + 30 = 8n
Isolate n
3n - 8n +30 - 30 = 8n - 8n - 30
-5n = -30
-5n/-5 = -30/-5
n = 6
To check replace 6 with n
(6 + 10)3 = 8 (6)
(16)3 = 48
48 = 48
The correct answer is:
<span>
The graph shifts 5 units right
Explanation:
Below is the graph attached of both the equations:
Red line: Represents f(x) = </span><span>2x + 2.
Blue line: Represents g(x) = 2x - 3.
As you can see in the graph that g(x) is shifted 5 units right to f(x).
If you move towards right by 1 unit, you have to subtract 1 from f(x) until you reach g(x) like:
2x + 2 - 1 = 2x + 1 (1 unit)
</span>2x + 1 - 1 = 2x (1 unit)
2x - 1 = 2x - 1 (1 unit)
2x - 1 -1 = 2x - 2 (1 unit)
2x -2 - 1 = 2x -3 (1 unit)
Total 5 units.
Hence the correct answer is
t<span>
he graph shifts 5 units right.</span>