Intrest rates/investment problem (pert), I just need someone to check my work

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Cindy needs to determine how much to ask her parents for now to have $10,000 in three years, using the formula P=Ae^(-rt), which results in approximately $6,977 at a 12% continuous compounding rate. Carla's inherited building, valued at $250,000, is projected to appreciate at 25% annually for four years, leading to a future value of about $679,570. The profit from waiting to sell the building instead of selling it now is calculated to be $429,570. However, the correct rate for Carla's investment should be 25%, not 12%. The calculations for both scenarios are validated, with the only error being the interest rate used in the second problem.
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intrest rates/investment problem (pert), I just need someone to check my work:)

Homework Statement



1)Cindy requires $10,000 in 3 years to return to college to get and MBA degree. How much money should she ask her parent for now so that, if she invests it at 12% compounded continuously, she will have enough for school?

2)Carla just inherited a building that is worth $250,000. The building is in a high demand area, and the value of the building is projected to increase at a rate of 25% per year for the next 4 years. How much more money will she make if she waits for four years to sell the building instead of selling it now?


Homework Equations



P=Ae^(-rt)

The Attempt at a Solution



1)so the equation would be

P= (10,000)e^(-.12*3) which equals $6,977 correct?


2)A=Pe^(rt)

A= $250,000e^(.12*4) = $679,570

so then $679,570-$250,000=$429,570

is all that correct?
 
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KatieLynn said:
1)so the equation would be

P= (10,000)e^(-.12*3) which equals $6,977 correct?
Yes.
2)A=Pe^(rt)

A= $250,000e^(.12*4) = $679,570

so then $679,570-$250,000=$429,570

is all that correct?
Other than r = 25% not 12%, yes.
 
ah yeah I did the math right, I just typed in the wrong rate for the second one
 
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