Answer:
$6261.61
Step-by-step explanation:
The solution to the differential equation is the exponential function ...
A(t) = 5000e^(0.0225t)
We want the account value after 10 years:
A(10) = 5000e^(0.225) = 6261.61
The value of the account after 10 years will be $6,261.61.
_____
The rate of change equation basically tells you that interest is compounded continuously. After working interest problems for a while you know the formula for that is the exponential formula A = A0·e^(rt).
Or, you can solve the differential equation using separation of variables:
dA/A = 0.0225dt
ln(A) = 0.0225t +C . . . . integrate
A(t) = A0·e^(0.0225t) = 5000·e^(0.0225t) . . . . solution for A(0) = 5000
Answer:
Angle C = 45 degrees.
Angle D = 30 degrees.
Step-by-step explanation:
Angle C = 45 + 90 = 135 180 - 135 = 45.
Angle D = 180 - 45 = 135 (angle F) 15 + 135 = 150 180 - 150 = 30
I suggest downloading the app “conects”
Answer:
B. x = -8
Step-by-step explanation:
-4(2x + 3) = 2x + 6 - (8x + 2)
-8x -12 = 2x + 6 - 8x -2
(now, "-8" in both terms is cancelled):
-12 = 2x + 6 - 2
(leave 2x alone in second term):
-12 -6 +2 = 2x
-16 = 2x
-16/2 = x
-8 = x
You first want to get rid of 2, so you divide two on both sides canceling the two on the left and getting x-1=5. then you add 1 to both sides getting x=6.
Hope this helps!
