I got 23/10 as the simplest fraction
<span>we are asked to determine the integral tan^(-1)(8 x) dx. we use the inverse property of trigonometric equation in integral calculus such that the answer is </span><span>integral tan^(-1)(8 x) dx. = </span>x tan^(-1)(8 x)-1/16 log(64 x^2+1)+ C where C is a constant.
Answer: 64%
Step-by-step explanation:
Given the following :
Current price of stock = $50
Probability of increase per day = 40% = 0.4
Probability of decrease = 60% = 0.6
Value of increase = $11
Value of decrease = $13
Probability that stock is greater than $30 in two days :
For stock to be greater than $30 in two days ;
It either increases in both days or increases in a day and falls the other
Hence, probability that stock is greater than $30
P(increase and increase) OR P(increase and decrease) OR P(decrease and increase)
(0.4 × 0.4) + (0.4 × 0.6) + (0.6 × 0.4)
0.16 + 0.24 + 0.24 = 0.64
0.64 × 100 = 64%