Showing posts with label compound interest. Show all posts
Showing posts with label compound interest. Show all posts

Monday, February 4, 2013

Solving Doubling Time

Introduction to solving doubling time:

Let us see about solving doubling time. The standard time it gets for an exacting population to double size is known as it’s doubling time. This statistic is a coarse pointer of the fertility of a population. Doubling time is the fastidious time necessary for a quantity to double in size or value. Doubling time is largely applied to population growth, consumption of goods, compound interest, and many other things which tend to produce over time.

Formula for the Doubling Time:

Let us see the formula for doubling time.

`T_d = (log(2) / log ( 1 +( r / 100))) = 70 / r.`

Description:

Td defines the Doubling time.

R defines the growth rate of percentage. Please express your views of this topic Formula for Compound Interest by commenting on blog.

Examples of Doubling Time:

Let us see some example problems of doubling time

Problem 1:

Solve the doubling time for a population growing at a rate of 7.5% per year.

Solution:

The given growing rate = 7.5%.

The formula for the doubling time = 70 / r.

= 70 / 7.5.

= 9.33 years.

This is the solving of doubling time.

Problem 2:

Solve the doubling time for a population growing at a rate of 6% per year.

Solution:

The given growing rate = 6%.

The formula for the doubling time = 70 / r.

= 70 / 6.

= 11.67 years.

This is the solving of doubling time.

Problem 3:

Solve the doubling time for a population growing at a rate of 5% per year.

Solution:

The given growing rate = 5%.

The formula for the doubling time = 70 / r.

= 70 / 5.

= 14 years.

This is the solving of doubling time.

Problem 4:

Solve the doubling time for a population growing at a rate of 5.5% per year.

Solution:

The given growing rate = 5.5%.

The formula for the doubling time = 70 / r.

= 70 / 5.5.

= 12.73 years.

This is the solving of doubling time.

Problem 5:

Solve the doubling time for a population growing at a rate of 6.3% per year.

Solution:

The given growing rate = 6.3%.

The formula for the doubling time = 70 / r.

= 70 / 6.3.

= 11.1 years.

This is the solving of doubling time.