This is a perfect example of exponential decay. In this case the growth factor should be represented by a fraction, and it is! This forest, starting out with apparently ( 800? ) pine trees, has a disease spreading, which kills 1 / 4th of each of the pine trees yearly. Therefore, the pine trees remaining should be 3 / 4.
Respectively 3 / 4 should be the growth factor, starting with 800 pine trees - the start value. This can be represented as such,
- where a = start value, b = growth factor, t = time ( <em>variable quantity</em> )
____
Thus, the function
can model this problem. The forest after t years should have P( t ) number of pine trees remaining.

┈──────────────────────────┈
<h3>The formula looks like this: </h3>
- (Probability of Winning) x (Amount Won per Bet) – (Probability of Winning) x
- (Amount Won per Bet) – (Probability of Losing) x (Amount Lost per Bet).
So, in our example we would plug in these variables, a 50% chance of winning, winning $6, a 50% chance of losing, and $5 lost.
<h3>The formula for expected value =
</h3>
- (fair win probability) x (profit if win) - (fair loss probability) x (stake).
This is the formula in the OddsJam sports betting expected value calculator.

┈──────────────────────────┈


_ _ _ _ _ _ _ _ _ _ _ _




_ _ _ _ _ _ _ _ _ _ _ _
Therefore, the amount of win is 

┈──────────────────────────┈
Answer:
option B is true.
Step-by-step explanation:
We are given that two functions
f(x)=
and g(x)=sin x and a line x =
We have to find the area of the region bounded in the first quadrant by x=
and two functions
We know that the area bounded by two functions
=Integration of region(Upper curve- lower curve)
Therefore, function of sec square x is upper curve and function of sin x is lower function
Therefore, limit of x changing from 0 to 
Hence, the area of the region bounded in the first quadrant and two functions is given by

Therefore, option B is true.