3. x+100 = 90 alternate interior angles are equal
subtract 100 from each side
x+100 - 100 = 90-100
x = -10
4. 17x+1 = 120 alternate exterior angles are equal
subtract 1 from each side
17x+ 1 -1 = 120 -1
17x = 119
divide each side by 17
17x/17 = 119
x =7
Answer:
y=3/4x-3
Step-by-step explanation:
Okay so to be parallel to an equation of another line, the line must have the same slope but a different y-intercept. First, you need to find the slope of the equation -3x+4y=4. The equation must be in y=mx+b format, so you first move -3x to the right by adding it on both sides, leaving you with 4y=3x+4. Next, you divide 4y by 4 in order to isolate y and do that on the other side. Now, you have y=3/4x+1.
To find the equation of the new line, you must put the point and slope into point slope form: y-y1=m(x-x1). In the point (4, 0), 4 would be x1 and 0 would be y1. so, the new equation is y-0=3/4 (x-4). now, distrubute the 3/4, leaving you with y=3/4x-3. This is correct since the slope remains the same in both equations with a different y-intercept. To check deeper, you could place point (4, 0) on a graph and then rise 3, run 4 until you get the line :) hope this helps
Answer:
<u>The future value of the investment after 10 years is $ 29,240.53</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Principal = $ 17,500
Interest rate = 5.2% = 0.052 compounded semiannually
Time = 10 years = 20 semesters
2. What is the future value of the investment after 10 years?
Let's use the formula of the Future Value, to calculate it for this investment:
FV = P * (1 + r) ⁿ
Let's replace with the real values:
FV = 17,500 * (1 + 0.052/2)²⁰
FV = 17,500 * 1.670887521
<u>FV = 29,240.53</u>
The equation for working out the slope of a linear line is:
, where x and y are the coordinate pairs.
So just pick two of the purple dots on the graph and fill in the equation.
I'll pick the dot that's (-4, 1) and (4, -7).
Now I just do
, which is just
when simplified.