Calculating Growth Rates and Percentages

The video tutorial covers percent manipulations, focusing on calculating growth rates over different time periods. It begins with an introduction to the growth rate formula, followed by examples of calculating yearly, decade, and monthly growth rates. The tutorial also includes exercises on determining growth rates over two years and calculating the decline in oil reserves over 20 years.

What is the primary focus of percent manipulations discussed in the introduction?

• Understanding algebraic expressions

• Manipulating numbers to get specific percentages

• Learning about fractions

• Calculating exact numbers

Which formula is used to calculate the growth rate?

• A equals P(1 + r/n)^(nt)

• P equals A(1 - r)^t

• A equals P(1 + rt)

• P of T equals P sub 0 1 + R raised to the T

If a population grows from 1027 to 1079 in one year, what is the yearly growth rate?

• 3.9%

• 6.2%

• 4.8%

• 5.1%

How do you calculate the percent growth over a decade if the yearly growth rate is known?

• Multiply the yearly rate by 10

• Subtract 10 from the yearly rate

• Raise the yearly rate to the power of 10

• Divide the yearly rate by 10

What is the percent growth over a decade if the yearly growth rate is 5.1%?

• 51.0%

• 64.4%

• 72.3%

• 58.9%

How is the monthly growth rate derived from the yearly growth rate?

• By multiplying the yearly rate by 12

• By subtracting 12 from the yearly rate

• By taking the 12th root of the yearly rate

• By dividing the yearly rate by 12

What is the monthly growth rate if the yearly growth rate is 5.1%?

• 0.6%

• 0.5%

• 0.3%

• 0.4%

If a population grows at 22% every five years, how do you find the yearly growth rate?

• Multiply 22% by 5

• Take the 5th root of 1.22

• Divide 22% by 5

• Subtract 5 from 22%

What is the percent growth over two years if the five-year growth rate is 22%?

• 12.7%

• 10.5%

• 9.1%

• 8.3%

How do you calculate the percent decline over 20 years if the yearly decline rate is 2%?

• Multiply 2% by 20

• Raise 0.98 to the power of 20

• Divide 2% by 20

• Subtract 20 from 2%