Answer:
5.06 years or 60.75 months
Step-by-step explanation:
Compound interest formula:
5.06 years or 60.75 months
Answer:
1 B
2 C
3 E
4 D
5 A
Step-by-step explanation:
1. W is less than Zero
2. W is equal or less than Zero
3. W cannot equal Zero. W is more than Zero or less than Zero
4. W is equal or greater than Zero
5. W is greater than Zero
Answer:
Option C is correct answer.
Step-by-step explanation:
We need to draw the graph of piece wise function
![f(x)\[ \begin{cases} -2-x & if\:x\leq 1 \\ -3+2x & if\: x>1 \end{cases}\]](https://tex.z-dn.net/?f=f%28x%29%5C%5B%20%5Cbegin%7Bcases%7D%20%20%20%20%20%20%20-2-x%20%26%20if%5C%3Ax%5Cleq%201%20%5C%5C%20%20%20%20%20%20-3%2B2x%20%26%20if%5C%3A%20x%3E1%20%20%20%5Cend%7Bcases%7D%5C%5D)
So, for drawing the graph, we will find values of f(x) for both the given equations.
First finding f(x) for 
The value of x must be less than or equal 1
x f(x)
1 -3
0 -2
-1 -1
-2 0
-3 1
-4 2
The graph will start from closed circle because x ≤ 1
Now, finding values of f(x) for 
The value of x must be greater than 1
x f(x)
2 1
3 3
4 5
5 7
The graph will start from open circle because x> 1
Now, plotting these numbers we will get graph of Option C.
Option C is correct answer.
-2 1/4, -1 1/4, 3/4, |1 1/4|, |-1 3/4|, |-2 1/4|
Answer: Raina's distance from the mountains is 176 miles
Step-by-step explanation:
Let x represent her average rate on the trip to the mountains.
If her average rate was 22 miles per hour faster on the trip home, it means that her average rate on the trip home is (x + 22) mph
Distance = speed × time
There was heavy traffic on the way there, and the trip took 6 hours. This means that the distance on her way to the mountain is 6x
When Raina drove home, there was no traffic and the trip only took 4 hours. This means that the distance on her way to home is
4(x + 22)
Since the distance covered is the same, then
6x = 4(x + 22) = 4x + 88
6x - 4x = 88
2x = 88
x = 88/2
x = 44
Raina's distance from the mountains is
6 × 44 = 176 miles
