IB Mathematics Applications & Interpretation Question Type 3: Finding the Initial Value of an Investment Given Final Value of Returns After n Years in the Bank Under Compound Interest Exercises

Calculate the principal required to accumulate to $5000$ in $3$ years at $6\%$ interest compounded monthly.

Determine the initial amount required to reach $5000$ in $3$ years at $6\%$ interest compounded semiannually.

Calculate the principal required to accumulate to $5000 in 5 years at 5% interest compounded monthly.

Find the principal needed to grow to $5000 in 3 years at 6% interest compounded annually.

Find the initial principal $P$ required to accumulate to a final value of $5000$ in $5$ years at an annual interest rate of $5\%$ compounded annually.

Calculate the initial amount required to accumulate to $15000$ in $10$ years at $4.5\%$ interest compounded annually.

Calculate the initial amount required to accumulate to $10000$ after $8$ years at $4\%$ interest compounded monthly.

Determine the initial investment needed to reach $5000$ after $5$ years at $5\%$ interest compounded semiannually.

Find the initial deposit needed to reach $10,000 after $8$ years at an annual rate of $4\%$ compounded annually.

Find the initial deposit required to reach $8000 in $6$ years at $5.5\%$ interest compounded semiannually.

Determine the principal that grows to $8000$ in $6$ years at $5.5\%$ interest compounded monthly.

Determine the principal that grows to $10000$ in $8$ years at $4\%$ interest compounded semiannually.