FeaturesHow It WorksFor ParentsPricingContactLog inStart free β€” no credit card needed β†’

General Mathematics Β· Unit 4 Β· Loans, investments and annuities 1 Β· Compound interest loans and investments

Use the compound interest formula to model a compound interest loan or investment. ο‚§ 𝐴 = 𝑃(1 + 𝑖)𝑛 where 𝐴 is total amount, 𝑃 is principal, 𝑖 is interest rate per compounding period and 𝑛 is number of compounding periods

Practise this objective

AI-marked practice questions tied to QCAA mark schemes for this exact LO. Free to start.

Start free practice

Practice questions for this objective

Full questions, answers and worked solutions unlock when you start a free practice session.

Question 1

A community sports club receives a grant of \$12{,}000 which is deposited into a special investment account. The account earns interest at 3.6% p.a. compounding quarterly. The club plans to withdraw the full balance after 5 years to fund new equipment. Refer to the table below showing the account parameters. Calculate the total amount of interest earned over the 5-year period.

Worked answer
πŸ”’ Start free to see full answer
Question 2

A student opens a savings account with an initial deposit of $\$2{,}500$. The account earns interest at $3.6\%$ per annum compounding quarterly. Calculate the total amount in the account after $5$ years, giving your answer to the nearest cent.

Worked answer
πŸ”’ Start free to see full answer
Question 3

A parent invests $5000 in an account earning 3.6% per annum, compounding quarterly. What is the total amount in the account after 5 years?

Worked answer
πŸ”’ Start free to see full answer
Question 4

A student saves $2{,}500 by investing in a term deposit account that earns interest at 3.6% per annum, compounded quarterly. Calculate the total value of the investment after 5 years, giving your answer to the nearest cent.

Worked answer
πŸ”’ Start free to see full answer
Unlock all 4 answers β€” free

More in Compound interest loans and investments

← Previous
Use a recurrence relation to model a compound interest loan or investment. ο‚§ 𝐴𝑛+1 = π‘Ÿπ΄π‘› where 𝐴𝑛+1 is total amount at the beginning of the (𝑛 + 1)th period, 𝐴𝑛 is total amount at the beginning of the 𝑛th period, and π‘Ÿ = 1 + 𝑖 where 𝑖 is interest rate per compounding period
All LOs in Compound interest loans and investmentsBack to full General Mathematics syllabus