Answer:
(4,-8)
Step-by-step explanation:
Plug in the answers for the equations.
Answer:
Step-by-step explanation:
Since we have an amount in the future of 750, we are going to use Future value formula; FV = PV (1+r)^t
where PV= Initial amount deposited
r= interest rate or discount rate
t = total duration of the investment
FV= 750
PV=500
r = 2.5% or 0.025 as a decimal
t = ?
Next, plug in the numbers into the formula;
750 = 500* (1+0.025)^t
divide both sides by 500;
750/500 = 1.025^t
Introduce <em>ln</em> on both sides
ln 1.5 = ln 
ln 1.5 = t ln 1.025
0.4054651 = 0.0246926 t
Divide both sides by 0.0246926 to solve for t;
0.4054651/0.0246926 = t
t = 16.42
Therefore it will take 16.42 years
Answer:
0
Step-by-step explanation:
Write out the 2 equations:
2x + y = -3
-2y = 6+4x
-You then pick a variable that you want to solve for. I chose to solve for y because it would be a bit easier.
-2y = 6 + 4x
-Divide both sides by -2 to isolate the variable
(-2y) / -2 = (6 + 4x) / -2
-it comes out to y = -3 -2x
-Now that you have the y you can plug in the value into the second equation.
2x + y = -3 ---> 2x + (-3 -2x) = -3
This can be simplified to:
2x - 3 - 2x = -3
The 2x's cancel out because there is a +2x and a -2x. You are left with a
-3 = -3. If you add 3 to both sides of the equation you end up with 0 = 0, which can be simplified to just 0.
Answer:
The x-intercept would be 9 and the y-intercept would be -18/5
Step-by-step explanation:
In order to find this we need to first find the slope. To do that we use the two points and the slope equation.
m (slope) = (y2 - y1)/(x2 - x1)
m = (-2 - -6)/(4 - -6)
m = 4/10
m = 2/5
Now that we have the slope, we can use that and either point to find the equation of the line in standard form.
y - y1 = m(x - x1)
y + 6 = 2/5(x + 6)
y + 6 = 2/5x + 12/5
-2/5x + y + 6 = 12/5
-2/5x + y = -18/5
-2x + 5y = -18
Now that we have this, we can find the intercepts through using 0s. First, we put a zero in for y to find the x intercept.
-2x + 5y = -18
-2x + 5(0) = -18
-2x = -18
x = 9
Therefore the x intercept is 9.
We find the y-intercept by doing the opposite. We put a 0 in for x.
-2x + 5y = -18
-2(0) + 5y = -18
5y = -18
y = -18/5
