uppose an individual wants to have exactly $300,000 available for her child's education. (a) Find the amount that would have to be invested at 12% compounded continuously, if the number of years until college is 8 years. (Round your answer to the nearest cent.) $ = (b) Find the amount that would have to be invested at 12% compounded continuously, if the number of years until college is 16 years. (Round your answer to the nearest cent.) $ = (c) Does leaving the money invested twice as long mean that half as much is needed initially? Explain. A.)Yes, at the given rate and amount of time, investing half the amount for twice as long will result in an amount equal to the stated goal. B.)No, at the given rate and amounts of time, investing half the amount for twice as long will result in an amount greater than the stated goal.    C.) No, at the given rate and amounts of time, investing half the amount for twice as long will result in an amount less than the stated goal.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.2: Applications Of Exponential Functions
Problem 27PS
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Suppose an individual wants to have exactly $300,000 available for her child's education.
(a)
Find the amount that would have to be invested at 12% compounded continuously, if the number of years until college is 8 years. (Round your answer to the nearest cent.)
$ =
(b)
Find the amount that would have to be invested at 12% compounded continuously, if the number of years until college is 16 years. (Round your answer to the nearest cent.)
$ =
(c)
Does leaving the money invested twice as long mean that half as much is needed initially? Explain.
A.)Yes, at the given rate and amount of time, investing half the amount for twice as long will result in an amount equal to the stated goal.
B.)No, at the given rate and amounts of time, investing half the amount for twice as long will result in an amount greater than the stated goal.   
C.) No, at the given rate and amounts of time, investing half the amount for twice as long will result in an amount less than the stated goal.
 
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