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We have been given that you invest $100,000 in an account earning 8% interest compounded annually. We are asked to find the time it will take the amount to reach $300,000.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
Let us take natural log on both sides of equation.
Using natural log property , we will get:
Upon rounding to nearest tenth of year, we will get:
Therefore, it will take approximately 14.3 years until the account holds $300,000.