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
Let 1993 = time 0 = 0.
Let 1999 = time 6 = 6
Let 2012 = time 19 = 19
So, a = 171 (million). First solve for k.
176 = 171 e^k6
176/171 = e^(k*6)
ln (176/171) = 6k
k = 1/6 ln (176/171)
So, in 2012 we have: P(19) = 171 e^(19k), where k = 1/6 ln (176/171)
Hope this helped!
Given that 
, we have 
, so that
Take the derivative and find the critical points of 
:
Take the second derivative and evaluate it at the critical point:
Since 
is positive for all 
, the critical point is a minimum.
At the critical point, we get the minimum value 
.
Answer:
480
Step-by-step explanation:
Find the difference between 2400 and 40 by dividing:
2400 / 40 = 60
Multiply each value by 60:
12 x 60 = 720 chocolate
15 x 60 = 900 caramel
5 x 60 = 300 banana
8 x 60 = 480 marshmallow
Ok I think it b that’s what I think if it’s not that try C
