The function that can be used to represent the price of a share of stock is given below. Then the correct option is C.
![\rm P = 5.36 \left [ \left (1.0415 \right )^{\frac{1}{12}} \right ]^{26}](https://tex.z-dn.net/?f=%5Crm%20P%20%3D%205.36%20%5Cleft%20%5B%20%5Cleft%20%281.0415%20%5Cright%20%29%5E%7B%5Cfrac%7B1%7D%7B12%7D%7D%20%5Cright%20%20%5D%5E%7B26%7D)
<h3>What is compound interest?</h3>
Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
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.
Then the function can be used to represent the price of a share of stock in this entertainment corporation on the last day of June 2011 will be
The number of the years will be
t = 26 / 12
Then the function will be
![\rm P = 5.36 \left [ \left (1.0415 \right )^{\frac{1}{12}} \right ]^{26}](https://tex.z-dn.net/?f=%5Crm%20P%20%3D%205.36%20%5Cleft%20%5B%20%5Cleft%20%281.0415%20%5Cright%20%29%5E%7B%5Cfrac%7B1%7D%7B12%7D%7D%20%5Cright%20%20%5D%5E%7B26%7D)
Then the correct option is C.
More about the compound interest link is given below.
brainly.com/question/25857212
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