Growth/Decay Factor
The growth or decay factor refers to a value that is used to multiply or divide a quantity in order to calculate its growth or decay over time
The growth or decay factor refers to a value that is used to multiply or divide a quantity in order to calculate its growth or decay over time.
For growth, the growth factor is greater than 1 because the quantity is increasing. For example, if a population is growing at a rate of 10% per year, the growth factor would be 1 + 0.1 = 1.1.
For decay, the decay factor is less than 1 because the quantity is decreasing. For example, if an investment is losing 5% of its value each year, the decay factor would be 1 – 0.05 = 0.95.
To calculate the growth or decay of a quantity over time, you would multiply it by the growth or decay factor raised to the power of the number of time periods. The time periods could be years, months, or any other unit of time.
For example, if you have an initial quantity of 100 and it is growing at a rate of 10% per year for 5 years, you would calculate the final quantity as 100 * (1.1)^5 = 161.051.
Similarly, if you have an initial investment of $1000 and it is losing 5% of its value each year for 3 years, you would calculate the final value as 1000 * (0.95)^3 = $857.375.
In summary, the growth or decay factor is a value used to calculate the growth or decay of a quantity over time. It is either greater than 1 for growth or less than 1 for decay. To calculate the final quantity, you would multiply the initial quantity by the growth or decay factor raised to the power of the number of time periods.
More Answers:
How to Find the Derivative of csc(x) with Respect to x Using the Quotient RuleUnderstanding how to differentiate cot(x) using the quotient rule
A Comprehensive Guide to Finding the Derivative of the Function arcsec(x)