SOLUTION: Hi i need help solving this equation 109.30= 10/(1+i)+110/(1+i)^2 i= 0.05 but how do we get to the i value? Can you please show step by step method. Thank you.

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Question 1118052: Hi i need help solving this equation
109.30= 10/(1+i)+110/(1+i)^2
i= 0.05 but how do we get to the i value? Can you please show step by step method. Thank you.
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

In the first place, is NOT equal to . It is very close to that number but close is not equal and therefore it is dead wrong to use the equals sign.

Let then:

Multiply by

Multiply by 10 to eliminate the decimal and then use the quadratic formula to solve for

But so:

I'm going to go way out on a limb here and assume that you are looking for a non-negative value, so:

John

My calculator said it, I believe it, that settles it

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Hi i need help solving this equation
109.30= 10/(1+i)+110/(1+i)^2
i= 0.05 but how do we get to the i value? Can you please show step by step method.
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Multiply thru by (1+i)^2 to get::
110 + 10(1+i) = 109.3(1+i)^2
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Let w = 1+i
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Solve for "w"::
109.3w^2 - 10w - 110 = 0
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Use the Quadratic Formula to solve for "w"
w = -0.9585 or w = 1.05
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Solve for "i"::
1+i = -0.95785 or 1+i = 1.05
Ans: i = -1.95785 or i = 0.05
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Cheers,
Stan H.
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