On the last day of April 2009, the price of a share of stock in a major entertainment corporation was $5.36. Over the next 4 years, the annual growth rate was 4.15%. The growth in the price of this stock can be modeled by the function where P represents the price, in dollars, and t represents the number of years since the last day in April 2009. Which function can be used to represent the price of a share of stock in this entertainment corporation on the last day in June 2011?

Hence After 2 years from 2009 to 2011 THe price for share of stock will be 5.8141 $

Step-by-step explanation:

Given:

Initial price=$5.36

Rate=4.15 %

To Find:

Function which represents the growth price for stock market?

Solution:

As the function is growing one and with same rate and depends upon the time period ,

So the exponential function as

will the required function ,

So P will be price of stock at t time period with R as rate for  function.

A be the previous year price

From 2009 to 2013 rate is 4.15 %

we have to find price after 2 years

So t=2  , A at 2009 =5.36$

So P at 2011 will be given by,

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.