Answer:
y = 3x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line
m = 
= 
= 3
Note the line crosses the y- axis at (0, - 4) ⇒ c = - 4
y = 3x - 4 ← equation of line
Answer:
After 11 years the value of the investment reaches $1500.00
.
Step-by-step explanation:
The formula used for finding time (when the value reaches certain amount) is:
where A= Future VAlue
P= Principal Value
r= rate of interest (in decimal)
n= no of times investment is compounded
t= time
Putting the values given and finding Time t,
A= $1500
P= $1200
r= 2% or 0.02
n= 4 (compound quarterly)
Dividing both sides by 1200 and solving 0.02/4 = 0.005
Since t is in power we take the logarithm ln on both sides.
The rule of logarithm says that the exponent can be multiplied with the base when taking log
Answer:
slope = 4
Step-by-step explanation:
We can find the slope of a line when knowing 2 points by using the slope formula, 
. 
and 
represent the x and y values of the first point, respectively. 
and 
represent the x and y values of the second point, respectively.
The two points we have are (2,8) and (0,0). So, in this case, = 2, = 8, = 0, and = 0. Let's substitute those values into the formula and solve to get the slope:
So, the slope is 4.
Answer:
2:53
Step-by-step explanation:
I believe that you are subtracting times here, so have in mind that if the first number indicates hours, and the second number minutes, and you are asked to subtract more of one quantity (minutes for example) than what you have, you will need to convert some of the hours into minutes.
Recall that 1 hour equals 60 minutes.
in the difference 4:08 minus 1:15, you sre expected to subtract minutes from minutes and hours from hours. Now the number of minutes you need to subtract from 08 is 15 (larger than 08) so we need to convert 1 hour into minutes in the first expression, and then (with enough minutes to deal with), we can subtract:
4:08 is the same as 3:68 where we converted 1 hour to 60 minutes and added those 60 minutes to the existing 8 .
Now the difference can be performed:
3:68 - 1:15 = (3-1):(68-15) = 2:53
Answer:
x=6,-4
Step-by-step explanation:
Ok so we know the 2 angles are congruent so you need to set them equal to each other. x^2+5x=7x+24. Then get the x's together so you subtract by 7x to get x^2-2x=24. You would then get 24 on the other side so subtract by 24 to get x^2-2x-24. You then would need to factor the equation out. The factored form would be (x-6)(x+4). Then set it equal to 0 to get 6 and -4.
