X + y = 2 —> y = 2 - x
insert to first equation
2-x=x^2-3x-6
x^2 - 3x - 6 - 2 + x = 0
x^2 - 2x - 8 = 0
(x-4)(x+2) = 0
x = 4 or x = -2
Over time, compound interest at any rate will outperform simple interest. When the rates are nearly equal to start with, compound interest will be greater in very short order. Here, it takes less than 1 year for compound interest to give a larger account balance.
In 30 years, the simple interest will be
... I = P·r·t = 12,000·0.07·30 = 25,200
In 30 years, the compound interest will be
... I = P·(e^(rt) -1) = 12,000·(e^(.068·30) -1) ≈ 80,287.31
_____
6.8% compounded continuously results in more total interest
THE CORRECT ANSWER TO THAT IS D
Answer:
Step-by-step explanation:
We want to make equation into slope intercept form.
Like this: y=mx+b
(mx and b are interchangeable)
Step 1) Convert equation
8x-5y=-11
Sub Step a) subtract 8x on both sides
8x-5y=-11 => -5y = -11-8x
-8x -8x
Sub step b) get y alone
-5y/-5 = -11/-5 - 8x/-5
Equation: y = 11/5 + 8x/5
Step 2) Y-intercept
B is the y-intercept.
B = 11/5
y-intercept is (0,11/5)
Step 3) X-intercept
Substitute 0 for y in our equation
0=11/5+8x
Subtract 8x on both sides
-8x = 11/5
Divide by -8 on both sides
x = -11/40
x-intercept is (-11/40,0)
