Answer:
14.4282 or 14.4 rounded
Step-by-step explanation:
This is an example of an exponential decay problem.
The basic format of the equation is:
In this problem, the starting amount is 100. The rate is 0.5 because it is being cut in half every 330 days.
E^2x - 5e^x = 24
(e^x)^2 - 5e^x =24
let e^x = u
u^2 - 5u = 24
u^2 -5u - 24 =0
(u - 8)(u+3)=0
u = 8 or u = -3
since e^x = u then u can't equal -3
e^x = 8
by taking ln for both sides
ln(e^x) = ln(8)
xln(e) = ln(8) .......................ln(e) = 1
x = ln(8) = 3ln(2)
Answer:
8/3
Step-by-step explanation:
Let's rearrange the equation x + y = 6 to slope-intercept form. Solve for y.
x + y = 6
To get the y variable on the left-hand side alone, subtract x from each side.
x + y - x = 6 - x
y = 6 - x
Rearrange the right-hand side.
y = -x + 6
Now we have it in the slope-intercept form. And to find the slope, we look at the coefficient of x. But there is no coefficient of the -x term!
In all reality, there is. However, it's just 1. -1x is the same thing as -x. We don't show the 1 because it has no effect.
So, -1 is the slope.
