Year 1 5000 X 1.03 5150
Year 2 5150 X 1.03 5305
Year 3 5305 X 1.03 5464
Year 4 5464 X 1.03 5628
Year 5 5628 X 1.03 5796
Year 6 5796 X 1.03 5970
Year 7 5970 X 1.03 6149
Year 8 6149 X 1.03 6334
Year 9 6334 X 1.03 6524
Year 10 6524 X 1.03 6720
It should be the second image on this list. I hope this helps! ^^
Answer:
Therefore the value is

Step-by-step explanation:
Given:
....Given
Step 1. Applying Distributive Property A(B+C)=AB+AC we get


Step 2. Add 15 both the side

Step 3. Dividing both the side by 9

Therefore the value is

Answer:
See Below.
Step-by-step explanation:
We are given that:

Where <em>I₀</em> and <em>k</em> are constants.
And we want to prove that:

From the original equation, take the derivative of both sides with respect to <em>t</em>. Hence:
![\displaystyle \frac{d}{dt}\left[I\right] = \frac{d}{dt}\left[I_0e^{-kt}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5BI%5Cright%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5BI_0e%5E%7B-kt%7D%5Cright%5D)
Differentiate. Since <em>I₀ </em>is a constant:
![\displaystyle \frac{dI}{dt} = I_0\left(\frac{d}{dt}\left[ e^{-kt}\right]\right)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BdI%7D%7Bdt%7D%20%3D%20I_0%5Cleft%28%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5B%20e%5E%7B-kt%7D%5Cright%5D%5Cright%29)
Using the chain rule:

We have:

Substitute:

Distribute and simplify:

Hence proven.
Graph the line y=5x. Then graph the line y=x. Then look at them and describe in what ways they are the same or different.