Question Type 3: Finding initial value of investment given final value of returns after n years in the bank for different compounding values Bootcamps

An account compounds semiannually at $6\%$ nominal. What principal yields $10000$ in $3$ years?

Find the initial amount $P$ that grows to $12000$ in $10$ years at a nominal rate of $5.5\%$ compounded annually.

What is the initial deposit $P$ needed to have $7500$ in $7$ years at $4.5\%$ nominal, compounded semiannually?

Determine $P$ so that it grows to $12000$ in $10$ years at a nominal rate of $5.5\%$ compounded semiannually.

Find the principal $P$ which yields $5000$ after $5$ years at $5\%$ nominal interest, compounded monthly.

An investment compounds monthly at $6\%$ nominal. Find $P$ if the future value is $10000$ after $3$ years.

Determine the principal that accumulates to $12000$ in $10$ years at $5.5\%$ nominal interest compounded monthly.

What deposit $P$ will grow to $7500$ in $7$ years at a nominal rate of $4.5\%$ compounded monthly?