The time will be equal to 6.9 years when compounded continuously.
What is compound interest?
Compound interest is the interest levied on the interest. It is given in the question that an investment earning interest at the rate of 10%, compounded continuously, will double in t years.
We are having the following data:-
principal = 100 and
total = 200
The time will be calculated by using the formula below:-
[tex]t = In[\dfrac{Total}{Principle}] / Rate[/tex]
[tex]Years = [ln (\dfrac{200} { 100} ]/ .1[/tex]
[tex]t = \dfrac{ln (2)} { 0.1}[/tex]
t = 0.69314718056 / .1
t = 6.93 years
Therefore the time will be equal to 6.9 years when compounded continuously.
To know more about Compound interest follow
https://brainly.com/question/24924853
#SPJ2
