Front

What is radioactive decay?

Back

Radioactive decay is the process by which an unstable atomic nucleus loses energy by emitting radiation, resulting in the transformation of the element into a different element or isotope.

Front

How do you calculate the remaining amount of a radioactive substance after a certain period?

Back

Use the formula: Remaining Amount = Initial Amount * (1 - decay rate) ^ number of years.

Front

What is the decay rate in the context of radioactive substances?

Back

The decay rate is the percentage at which a radioactive substance decreases in quantity over a specific time period, typically expressed as an annual rate.

Front

What is a common difference in an arithmetic sequence?

Back

The common difference is the constant amount that is added or subtracted from one term to get to the next term in an arithmetic sequence.

Front

How do you find the common difference in a sequence?

Back

Subtract any term from the subsequent term. For example, in the sequence 97, 86, 75, 64, the common difference is 86 - 97 = -11.

Front

What is the decay factor?

Back

The decay factor is calculated as (1 - r), where r is the decay rate expressed as a decimal.

Front

How do you calculate the future value of an investment with compound interest?

Back

Use the formula: Future Value = Principal * (1 + interest rate) ^ number of years.

Front

What is the formula for calculating population growth?

Back

Population at future time = Initial Population * (1 + growth rate) ^ number of years.

Front

How do you calculate the population after a certain number of years with a constant growth rate?

Back

Multiply the initial population by (1 + growth rate) raised to the power of the number of years.

Front

What is depreciation in financial terms?

Back

Depreciation is the reduction in the value of an asset over time, often due to wear and tear or obsolescence.