Question

the price of a stock increased 1/2 Cent Monday morning on Monday afternoon the price stock decrease 5/6 sent on Tuesday Morning the price increased 1/4 Cent what is the overall change in the Stock's price

Answer 1

`\text{price}_4=x-0.583`

Step-by-step explanation

Step 1

Let x represents the initial price

the price of a stock increased 1/2 Cent Monday morning

then , the new price is

`\text{price}_2=x+0.5\text{ cent}`

then, on Monday afternoon the price stock decrease 5/6 sent

`\begin{gathered} \text{price}_3=price_2-(5)/(6)cent \\ \text{price}_3=x+0.5cent-(5)/(6)cent \end{gathered}`

after that, on Tuesday Morning the price increased 1/4 Cent

`\begin{gathered} \text{price}_4=price_3+(1)/(4)cent \\ \text{price}_4=x+0.5cent-(5)/(6)cent+(1)/(4)\text{cent} \\ \text{add similar terms} \\ \text{price}_4=x+(0.5-(5)/(6)+(1)/(4))cent \\ \text{price}_4=x+0.5-(26)/(24) \\ \text{price}_4=x+(1)/(2)-(13)/(12) \\ \text{price}_4=x+(12-26)/(24) \\ \text{price}_4=x-(14)/(24) \\ \text{price}_4=x-(7)/(12) \\ \text{price}_4=x-0.583 \end{gathered}`

the overall change is -0.583.

I hope this helps you