You bought

$250$

shares of stock for $$100$ each. After $1$ month, the stock price is $4\%$ higher and you sell

x

shares. After $1$ year, the stock price is

$9$

$\%$

higher $($from the original purchase price$)$ and you sell the remaining shares. You make a profit of

$

$2005$

$.$

a$)$ Fill in the table below. Column $2$ and column $3$ should contain expressions in terms of

x

$.$ Column $4$ should be just numbers

Sold after $1$ Month

Sold After $1$ Year

Total

Number of Shares

$250$

Profit

$

b$)$ Use the bottom row of the table to write an equation describing the profit made in terms of

x

$.$

Do not combine like terms or solve the equation in this step.

c$)$ Solve the equation to find the number of shares sold after $1$ month and the number sold after $1$ year.

shares sold after $1$ month:

shares sold after $1$ year: