Answer:
x = 14
Step-by-step explanation:
The angles with the measures (x+12) and (3x-16) are vertical, which makes their measures equal.
x+12 = 3x-16
On both sides, subtract 3x and subtract 12 to get this.
-2x = -28
Divide by -2.
x = 14
(a) The differential equation is separable, so we separate the variables and integrate:
When x = 0, we have y = 2, so we solve for the constant C :
Then the particular solution to the DE is
We can go on to solve explicitly for y in terms of x :
(b) The curves y = x² and y = 2x - x² intersect for
and the bounded region is the set
The area of this region is
Answer:
The measure of angle 8 is 50 degrees and the measure of angle 7 is 45 degrees
Step-by-step explanation:
Answer:
you answered it
Step-by-step explanation:
you put no blah blah blah
Answer:
17.3 years
Step-by-step explanation:
For some annual interest rate r and time in years t, the initial account value is multiplied by e^(rt).
You want the multiplier e^(.04t) to have a value of 2:
2 = e^(.04t)
ln(2) = 0.04t . . . . . take natural logs
t = ln(2)/0.04 = 17.329 . . . . . divide by the coefficient of t
It will take about 17.3 years for the investment to double.
