# Suppose that Christina purchased a stock for x dollars. During the first year, the stock's price rose 15%? (a) Write an algebraic expression for the price of the stock after the first year in terms of x. ?

## can you please show the work thank you. :) here is all the details and im giving you the whole question.

Apr 14, 2017

a)${S}_{1} = 1.15 x$
b)${S}_{2} = 1.10 \left(1.15 x\right)$
c)${S}_{2} = 1.256 x$
d)S_2=$25.30 #### Explanation: The value of the stock $S$is $x$, so: S=$x

After $1$ year the stock gains 15% in value:

Then: ${S}_{1} = 1.15 x$ because it is now 115% of the original value.

After $2$ years the stock gains 10% in value:

Then: ${S}_{2} = 1.10 \left(1.15 x\right)$ because it is now 110% of the $S 1$ value.

So: ${S}_{2} = 1.10 \left(1.15 x\right) = 1.265 x$

After $2$ years the stock is now valued at 126.5% of the original value.

If the original value is $20: After $2$years the stock is valued at: S_2=1.256x=1.265($20)=\$25.30