Exponential Growth and Decay Problems

The video tutorial covers various mathematical concepts including exponential growth and decay, half-life calculations, and financial growth. It explains how bacterial populations triple, medication dosages decrease, employee numbers grow, truck values depreciate, and stock values increase. Additionally, it evaluates mathematical statements and calculates savings with compound interest.

If a bacterial population triples every hour, by what factor does it change after half an hour?

• 2

• √3

• 3

• 1.5

A medication has a half-life of 4 hours. How much of a 225 mg dose remains after 1 hour?

• 112.5 mg

• 168.75 mg

• 200 mg

• 225 mg

What is the growth factor for a company's employee count that increases by 10% annually?

• 1.01

• 1.1

• 1.5

• 1.2

If a truck's value decreases by 40% each decade, what percentage of its value does it retain?

• 70%

• 60%

• 50%

• 40%

Why does a stock increasing by 8% annually not increase by 80% over a decade?

• Because of market fluctuations

• Because of inflation

• Because it compounds

• Because 8% is too small

Is the statement '50 squared equals 25' true or false?

• True

• False

• Depends on context

• Cannot be determined

How much will Lynn save after 20 years if she saves $300 annually at 4.5% interest compounded annually?

• $9,400

• $10,000

• $7,500

• $6,000