SOLUTION: Suppose the value of a house in Marshall County in t years can be modeled by the function V (t) =V0e ^O.087t where V is the present value of the house. How to write an equation t

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Question 1141913: Suppose the value of a house in Marshall County in t years can be modeled by the function V (t) =V0e ^O.087t
where V is the present value of the house.
How to write an equation to find how much time(t) it will take for the value of a house in Marshall County to double. How do I solve the equation for t?
Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


You want the future value, V(t), to be twice the present value, V(0):

V%280%29e%5E%280.087t%29+=+2V%280%29
e%5E%280.087t%29+=+2

Since the unknown is in an exponent, you need to use logarithms.

ln%28e%5E%280.087t%29%29+=+ln%282%29
0.087t+=+ln%282%29

You can finish from there.

Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Change it to be this way:

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Suppose the value of a house in Marshall County in t years can be modeled by the function V%28t%29=V%5Bo%5De%5E%28O.087t%29,
where V%5Bo%5D is the present value of the house.
How to write an equation to find how much time(t) it will take for the value of a house in Marshall County to double.
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