I think it represents where something is starting from, like something growing up (a chart with rising numbers)
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:
3053.63 cm^3
Step-by-step explanation:
Volumme of a sphere = 
We do not have the radius of the sphere, but we have its diameter.
We know that there is a relationship between radius and diameter.
Then the formula of the volume of a sphere according to its diameter is:
Answer:
157
Step-by-step explanation:
Answer:
(2/3)y - (8/3) = x For the first one maybe?
Step-by-step explanation:
1. y = (3/2) x + 4
y - 4 = (3/2) x
(2/3)y - (8/3) = x
2. If output is 2, f(x) = 2.
So, 2 = (3/2) x + 4
-2 = (3/2) x
-4 = 3x
x = -3/4
