Edwin C.

asked • 09/05/15

on Monday Sophia purchased shares. Tuesday the value went up 5%, Wednesday value fell 5% how much did she pay on Monday is she sold them Thursday for $59.85?

I'm not not sure how to put this problem together as an equation.

1 Expert Answer

By:

Edwin C.

Hello Jim, how do I write this out as an equation? I didn't quite get the breakdown. Thanks 
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09/05/15

Jim S.

tutor
The equation is p=59.85/(.95*1.05) which is the value of the stock on monday.
 
day      value
mon      p
tues      1.05*p
wed       .95*1.05*p
thurs      59.85
 
So .95*1.05*p=59.85 solve for p, the price on Monday.....does this help?
 
Jim
 
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09/05/15

Jim S.

tutor
Think off it this way
 
Day      value
mon        p
tues       1.05*p
wed        .95*1.05*p
thurs      59.85
So .95*1.05p=59.85 this is the equation. Solve for p to find the value on Mon.
 
Jim
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09/05/15

Jim S.

tutor
Think of it this way
 
 
Day      value
mon       p
tues     1.05*p
wed      .95*1.05*p
thurs     59.85
 
so .95*1.05*p=59.85 is the equation. Solve for p. Does this help?
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09/05/15

Jim S.

tutor
 
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09/05/15

Jim S.

tutor
Edwin, Think of it this way and the equation will result.
 
Day       closing price
mon            p              she bought here
tues         1.05*p         closed up 5%
wed          .95*1.05*p  closed down 5%
thurs         59.85          she sold here at the open so wed's closing price must be equal to 59.85
 
So .95*1.05*p=59.85 or .9975*p=59.85 If you solve this equation for p that will be how much she paid on Mon.
Make sense??
 
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09/06/15

Edwin C.

Yes thank you
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09/06/15

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