Dex estimates that 49,892 ÷ 0.89 is about 5,000. Is his estimate reasonable? Why or why not?
2 answers:
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The formula for compounded continuously is :
Here the Amount triples , so let us say the new amount A=3P
Cancelling P from both sides we get,
Now here we are given rate is 2.75% or 0.0275,
solving for t we get
t=39.95 years
Finding the parabolas roots.
-x^2+4x=0
-x(x-4)=0
x=0 and x=4
![[-x^3/3+2x^2]](https://tex.z-dn.net/?f=%5B-x%5E3%2F3%2B2x%5E2%5D)
(top is 4 and bottom is 0)
-64/3+32=32/3
The area above the x axis is 32/3
-x^2+4x=0
-x(x-4)=0
x=0 and x=4
-64/3+32=32/3
The area above the x axis is 32/3