In a bank, principal increases continuously at the rate of r% per year. Find the value of r if Rs 100 double itself in 10 years.

In a bank, principal increases continuously at the rate of 5% per year. In how many years Rs 1000 double itself?

In a bank, principal increases continuously at the rate of 5% per year. An amount of Rs 1000 is deposited with this bank, how much will it worth after 10 years.

A country has a food deficit of 10%. Its population grows continuously at the 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 (log_e 10-log_e 9)/((log_e 1.04)-0.03)

The radius of a spherical soap bubble is increasing at the rate of 0.5 cm per second. Find the rate of change of its volume, when the radius is 10 cm.

The population of a village increases continuously at the rate proportional to the number of its inhabitants present at any time. If the population of the village was 20, 000 in 1999 and 25000 in the year 2004, what will be the population of the village in 2009?

The population of a city was 20,000 in the year 1997. It increased at the rate of 5% p.a. Find the population at the end of the year 2000.

A TV was bought at a price of Rs 21,000. After one year the value of the TV was depreciated by 5% (Depreciation means reduction of value due to use and age of the item). Find the value of the TV after one year.

The income of a person is ₹ 3,00,000 in the first year and receives an increase of % 10,000 to his income per year for the next 19 years. Find the total amount, he receives in 20 years.

A manufacturer of TV sets produced 600 sets in the third year and 700 sets I the seventh year. Assuming that the production increases uniformly by a fixed number every year, find : the production in the 10th year