Calculation Steps: First, convert R as a percent to r as a decimal r = R/100 r = 2/100 r = 0.02 per year,
Then, solve the equation for P P = A / ert P = 100.00 / e(0.02*10) P = $81.87
Summary: The principal investment required to get a total amount of $100.00 from compound interest at a rate of 2% per year compounded continuously over 10 years is $81.87.
Y=Xr^T
Since you’re using populations and percentages X = 1.0. So 98% for 10 years becomes
Y=1.0 * .98^10.
Y=81.7
You can also solve for Y. How many years to achieve 90%?
0.9=1.0 * .98^t.
ln(0.9)=t * ln(0.98)
t = 5.2 years