Module 9 Remediation

Front

What is depreciation?

Back

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

Front

How do you calculate the value of an asset after depreciation?

Back

Value after depreciation = Initial value × (1 - depreciation rate) ^ number of years.

Front

What is the formula for exponential decay?

Back

The formula is A = A0 * e^(-kt), where A0 is the initial amount, k is the decay constant, and t is time.

Front

What is the difference between exponential growth and decay?

Back

Exponential growth increases rapidly over time, while exponential decay decreases rapidly.

Front

What does it mean for a population to decrease by a certain percentage?

Back

It means that each year, the population is reduced by that percentage of its current size.

Front

How do you calculate compound interest?

Back

Compound Interest = P(1 + r/n)^(nt) - P, where P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

Front

What is the significance of the compounding frequency in interest calculations?

Back

The more frequently interest is compounded, the more interest will be earned on the initial principal.

Front

What is a transformation in mathematics?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, or reflection.

Front

What does it mean to translate a shape right by 1 unit?

Back

It means to move every point of the shape 1 unit to the right on the coordinate plane.

Front

What is the population after a 4.5% decrease from 937?

Back

Population after 1 year = 937 × (1 - 0.045) = 894.415, rounded to 894.