Answer:
2002
Step-by-step explanation:
The main topic of the question is compound interest.
If the percentage increase is 7.5%. Then the decimal multiplier would be 1.075. The 1 in front of the decimal represents the increase. 7.5 in decimal form is 0.075, so we just add the two together to get our decimal multiplier.
Now we do trial and error to see when we reach $700. After we get at least $700, we count how many times we multiplied $500 by the decimal multiplier and onwards to figure out the number of years it took and then add that to 1997. We add it to 1997 because the cost of the Freerange Wireless stock must have also been $500 at the end of 1997. The beginning of 1998 is the same as the end of 1997.
1) 500 x 1.075 = $537.50
2) 537.50 x 1.075 = $577.81
3) 577.81 x 1.075 = $621.15
4) 621.15 x 1.075 = $667.74
5) 667.74 x 1.075 = $717.8205
1997 + 5 = 2002
The value of Mira's stock will reach $700 by the end of 2002 because if we know that she used $500 at the beginning of 1998, that also means the cost of the Freerange Wireless stock was $500 at the end of 1997.
I hope this helps.
First, are you really familiar with the graph of y = [x]? If so, your answer choices move that graph up or down.
A. Move the graph of y=[x] UP 3 units
B. Move the graph UP 1 unit
C. Move the graph DOWN 1 unit
D. Move the graph DOWN 3 units
The graph you're given on the problem screen is not a very good one, I think. Would it help to draw y = [x] on a piece of graph paper where one square = 1 unit? The graph you're shown has one square = 2 units, which could lead to some confusion.
So, draw the graph of y = [x], then figure out which way the graph was moved -- and how far -- to get the graph in the problem.
Here is a link to a YouTube video that might help a lot.
https://youtu.be/UQ3a2QH_-GU
Answer:
-2
Step-by-step explanation:
Given that:
A = (3, 4) ; B = (7, 6)
In triangle ABCD, AB and BC are Perpendicular lines :
Slope AB = Rise / Run = (y2 - y1) / (x2 - x1)
y2 = 6 ; y1 = 4 ; x2 = 7 ; x1 = 3
Slope AB = (6 - 4) / (7 - 3) = 2 / 4 = 1 / 2
To obtain the slope of BC:
RECALL:
product of the slope of 2 Perpendicular lines = - 1
Slope AB * Slope BC = - 1
1 / 2 * slope BC = - 1
Slope BC = - 1 ÷ 1/2
Slope BC = - 1 * 2/1
Slope BC = - 2
HENCE, slope of BC = - 2
Answer:
a. -2 b. -2 c. -1 d. 4 e. -3 f. 0
Step-by-step explanation:
The average rate of change formula is:

a.
We need to find the rate of change for x = -3 to x = -2 so we look on the graph to find y.
At x = -3 it look like y = 0 so


At x = -2 it looks like y = 2


Now we can just plug everything in to the rate of change formula.
= -2
So for a. our rate of chage for the given interval is -2
b.
Now that you have the formula we don't need to explain each time.
-2
2
1
- 4
= -2
c.
0
-3
1
- 4
= -1
d.
1
-4
2
0
= 4
e.
-1
0
0
-3
= -3
f.
-1
0
2
0
= 0
The fully factored form of this expression would be
(A-5)(A+4).