A country has a food deficit of 10%. Its population ear. Its annual food production every year is 4% more than that of the last year Assuming that the average food requirement per person remains constant, prove that the country will become self-sufficient in food after n years, where n is the smallest integer bigger than or equal to `(log_e 10-log_e 9)/((log_e 1.04)-0.03)`

A country has a food deficit of 10% . Its population grows continuously at a rate of 3% per year. Its annual food production every year is 4% more than that of the last year. Assuming that the average food requirement per person remains constant, prove that the country will become self-sufficient in food after n years, where n is the smallest integer bigger than or equal to (ln10-ln9)/(ln(1.04)-0.03)

If is known that, if the interest i s compounded continuously, the principal changes f the rate equal to the product of the rate of bak interest per annum, and the principal. If the interest is compounded continuously at 5% per annum, in how many years will Rs. 100 double itself? At what interest rate will Rs. 100 double itself in 10 years ((log)_e2=0. 6931) How much will Rs. 1000 be worth at 5% interest after 10 years? (e^(0. 5)=1. 648)dot