<span>Answer:
We'll have to integrate the growth rate with respect to time, without forgetting the amount of area covered at the start.
A = 2010 + â« 8t1/2 dt (as t goes from 0 to 24)
A = 2010 + [(16/3) t3/2] (as t goes from 0 to 24)
A = 2010 + 627 = 2637 acres
We don't integrate the 2010 here because whatever effects of the passing of time have already taken place over that area. We just treat it as a constant and add it to the result of integration.</span>
g) c=1.98w is your answer
w = weight = 5.5
c = cost = 10.89
10.89 = 1.98(5.5)
10.89 = 10.89 (true)
hope this helps
Answer:
It takes 22.52 years for the balance to triple in value.
Step-by-step explanation:
Continuous compounding:
The amount of money earned using continuous compounding is given by the following equation:
In which A(0) is the initial amount of money and r is the interest rate, as a decimal.
Interest rate of 5%.
This means that 
, and thus:
Time for the balance to triple?
This is t for which 
. So
It takes 22.52 years for the balance to triple in value.
The second Version of the game is greater for hitting the down button because substituting any number for x, the second equation would always end up having a greater amount.
