Question -
Answer -
Let┬аp,┬аt,┬аand┬аr┬аrepresentthe principal, time, and rate of interest respectively.
It is given that the principal increasescontinuously at the rate of┬аr% per year.
Integratingboth sides, we get:
It is given that when┬аt┬а=0,┬аp┬а= 100.
тЗТ 100 =┬аek┬атАж (2)
Now, if┬аt┬а= 10, then┬аp┬а=2 ├Ч 100 = 200.
Therefore,equation (1) becomes:
Hence,the value of┬аr┬аis 6.93%.