Loan Duration and Interest Calculations

This video tutorial by Pak Antara on the 'Matematika Bisa' channel covers the concept of compound interest, explaining its calculation and application through three examples. The first example demonstrates calculating the total amount after three years with a 10% annual compound interest. The second example involves determining the initial loan amount given a repayment amount after 2 years and 9 months with a 5% quarterly compound interest. The third example calculates the annual interest rate for a loan that grows from 3,500,000 to 4,100,000 over seven years. The video concludes with a summary and encouragement to engage with the channel.

What is the main topic discussed in this video?

• Linear Equations

• Geometry

• Compound Interest

• Simple Interest

Which formula is used to calculate compound interest?

• MN = m0 * P * n

• MN = m0 / (1 + P)^n

• MN = m0 + P * n

• MN = m0 * (1 + P)^n

Tags

CCSS.8.EE.C.7B

In the first example, what is the interest rate per year?

• 10%

• 20%

• 15%

• 5%

How many years is the money deposited in the first example?

• 3 years

• 4 years

• 2 years

• 1 year

In the second example, what is the interest rate per quarter?

• 3%

• 4%

• 2%

• 5%

Tags

CCSS.8.EE.C.7B

How many months does the loan last in the second example?

• 33 months

• 27 months

• 24 months

• 36 months

What is the total amount to be repaid in the second example?

• 20 million

• 15 million

• 25 million

• 10 million

In the third example, what is the initial loan amount?

• 12,000,000

• 11,000,000

• 12,500,000

• 11,700,000

Tags

CCSS.8.EE.C.7B

In the final example, what is the duration of the loan?

• 7 years

• 6 years

• 5 years

• 8 years

Tags

CCSS.7.RP.A.3

What is the annual interest rate calculated in the final example?

• 3.5%

• 1.5%

• 2.3%

• 3.0%

Tags

CCSS.7.RP.A.3