In point slope form, required equation is given by (y - y1) = m(x - x1); where m = (y2 - y1)/(x2 - x1) = (4 + 1)/(8 - 2) = 5/6
Required equation is y + 1 = 5/6 (x - 2)
In standard form, 6y + 6 = 5x - 10 => 5x - 6y = 6 + 10 => 5x - 6y = 16
Interest I = PRT /100
P = $ 1000
R = 5.5% per annum
T = 18 months = 18 /12 = 1.5 years.
I = 1000 * 5.5 * 1.5 /100
I = $ 82.5
Amount = P + I = 1000 + 82.5 = 1082.5.
Hence the it would have grown to $1082.5
Answer:
They will get both get $280 if they work for 20 hrs.
Step-by-step explanation:
1) In order to solve the problem, we can use a system of equations
2)Aaliyah's salary equation: y=13x+20
Finn's salary equation: y=12x+40
3) Using the equal values method, we now know that 12x+40=13x+20
4) when you solve the equation, x=20.
5) Substitute 20 for x.
y=12X20+40
y=280
Answer:
D. 
Step-by-step explanation:
The point-slope form of a line is given by:

The line given to us has equation;
.
The slope of this line is -4. The of the line perpendicular to this line is the negative reciprocal of the slope of the given line.
Our slope of interest is therefore; 
Since the point goes through (-2,7), we have
.
We plug in the slope and the point into the point-slope formula to obain;

The required equation is:

Answer: 'X' = 24 degrees
Step-by-step explanation:
5 times 'X' = 120 degrees (because the formula is base times height divided by 2).
120 divided by 5 = 'X'
= 24
'X' = 24 degrees