Depreciation and Compound Interest Concepts

This video tutorial explains how to compute depreciation by analyzing models. It covers exponential growth and decay, using examples like investments and car depreciation. The tutorial provides methods for calculating depreciation over multiple years and derives a general formula. It also compares depreciation to compound interest, highlighting differences in calculation and graph behavior.

What is the base condition for exponential growth?

• The base is less than 1

• The base is equal to 1

• The base is a negative number

• The base is greater than 1

In an exponential decay function, what is the range of the base?

• Greater than 1

• Less than 0

• Equal to 1

• Between 0 and 1

If you invest $500 at an annual growth rate of 27%, what will be the value after 5 years?

• $2,000

• $1,200

• $1,652

• $1,000

What is a common misunderstanding about depreciation?

• It is how much value something has lost

• It is the same as exponential growth

• It means losing all value

• It increases the value

If a car depreciates by 12% annually, what is its value after one year if it was initially worth $20,000?

• $16,000

• $18,000

• $17,600

• $15,000

How can you simplify the calculation of depreciation over multiple years?

• By adding the depreciation rate each year

• By using a simple subtraction

• By ignoring the depreciation rate

• By using an exponent in the formula

What does the graph of a depreciation function typically look like over time?

• It forms a straight line

• It decays quickly at first, then flattens out

• It remains constant

• It increases rapidly

What is the main difference between depreciation and compound interest?

• Depreciation adds value, compound interest subtracts

• Depreciation subtracts value, compound interest adds

• Both subtract value

• Both add value

If a bike worth $720 depreciates by 5% annually, what will be its value after 3 years?

• $600

• $617

• $700

• $650

How does the graph of compound interest differ from that of depreciation?

• Compound interest graph flattens out quickly

• Both graphs are identical

• Depreciation graph increases slowly

• Compound interest graph increases slowly and then rapidly