Answer:

Step-by-step explanation:
The equation is ,
- Here e is the Euler's Number . The log which are defined on the base e are called Natural logarithms.
Say if we have a expoteintial equation ,
In logarithmic form it is ,

Similarly our required answer will be ,

Answer:

Step-by-step explanation:
We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is:
, where m= Slope of the line, b= y-intercept.
To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.
We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).
Let us substitute coordinates of our both given points in slope formula:
,

Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.
Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,

Therefore, our desired equation will be
.
Binomial formula is :

= 495 * 0.0256 * 0.0167961 =
= 0.21284 ≈ 0.213
Answer:
C ) 0.213
The answer to this question is not rational