Calculate Principal and Interest Rate Given Time to Double and amount after 10 years Compounding Continuously

Question

Given:

Time To Double: 11 years

Amount after 10 years: $2000

Find Initial investment ( P ) and rate of interest ( r )

Answer 1

e^(11i)=2.

Solve for i first.

Then insert that into the following equation:

Principle*e^(10i) = 2000

Principle = 2000/(e^(10i))