Exploring Compound Interest Concepts

In this video, Mr. Backer explains the concept of compound interest using a formula. He demonstrates how to calculate the future value of an investment with different compounding periods: annually, quarterly, and monthly. The video highlights that more frequent compounding results in a higher return. Through examples, viewers learn to apply the formula to calculate the future value of an investment over a specified period.

What is the formula for calculating compound interest?

• A = P + (r/n)^(nt)

• A = P(1 + r)^(nt)

• A = P(1 - r/n)^(nt)

• A = P(1 + r/n)^(nt)

If the principal amount is $2500 and the interest rate is 5.4%, what is the decimal form of the interest rate used in the formula?

• 0.054

• 54

• 5.4

• 0.54

Tags

CCSS.7.RP.A.3

How much will the account be worth after 10 years with annual compounding?

• $4274.55

• $4500.00

• $4284.82

• $4230.06

What changes in the formula when compounding quarterly instead of annually?

• The interest rate

• The number of compounding periods per year

• The principal amount

• The total number of years

How often is the interest compounded in the quarterly compounding scenario?

• Monthly

• Quarterly

• Bi-annually

• Annually

What is the value of the investment after 10 years with quarterly compounding?

• $4500.00

• $4284.82

• $4274.55

• $4230.06

How does monthly compounding affect the final amount after 10 years compared to annual compounding?

• It resets the principal amount

• It increases the final amount

• It does not change the final amount

• It decreases the final amount

What is the value of 'n' when compounding is done monthly?

• 10

• 1

• 4

• 12

What is the final amount after 10 years with monthly compounding?

• $4500.00

• $4230.06

• $4284.82

• $4274.55

What is the effect of increasing the number of compounding periods on the final investment amount?

• Resets the investment period

• Increases the amount

• No effect on the amount

• Decreases the amount