Maths4U Original · Short practice

A model starts with 30000 currency units for 3 complete years at a fixed annual rate of 3%. There are no deposits, withdrawals, fees or taxes. Compare the two stated interest models.

Find the simple interest earned.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A model starts with 40000 currency units for 2 complete years at a fixed annual rate of 4%. There are no deposits, withdrawals, fees or taxes. Compare the two stated interest models.

Find the simple interest earned.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A model starts with 40000 currency units for 2 complete years at a fixed annual rate of 4%. There are no deposits, withdrawals, fees or taxes. Compare the two stated interest models.

Find the balance using simple interest.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A model starts with 50000 currency units for 3 complete years at a fixed annual rate of 5%. There are no deposits, withdrawals, fees or taxes. Compare the two stated interest models.

Find the balance using simple interest.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A model starts with 50000 currency units for 3 complete years at a fixed annual rate of 5%. There are no deposits, withdrawals, fees or taxes. Compare the two stated interest models.

Find the balance using annual compound interest.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A model starts with 60000 currency units for 2 complete years at a fixed annual rate of 2%. There are no deposits, withdrawals, fees or taxes. Compare the two stated interest models.

Find the balance using annual compound interest.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A model starts with 60000 currency units for 2 complete years at a fixed annual rate of 2%. There are no deposits, withdrawals, fees or taxes. Compare the two stated interest models.

Find the interest earned using annual compounding.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A model starts with 20000 currency units for 3 complete years at a fixed annual rate of 3%. There are no deposits, withdrawals, fees or taxes. Compare the two stated interest models.

Find the interest earned using annual compounding.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A device has initial model value 70000 units. Its value decreases by \(\displaystyle r=30\)% at the end of each year. Let \(\displaystyle n=4\).

Find the model quantity after one year of decay.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A device has initial model value 800 units. Its value decreases by \(\displaystyle r=10\)% at the end of each year. Let \(\displaystyle n=2\).

Find the model quantity after one year of decay.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A device has initial model value 800 units. Its value decreases by \(\displaystyle r=10\)% at the end of each year. Let \(\displaystyle n=2\).

Find it after the full n years of decay.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A device has initial model value 9000 units. Its value decreases by \(\displaystyle r=20\)% at the end of each year. Let \(\displaystyle n=3\).

Find it after the full n years of decay.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A device has initial model value 9000 units. Its value decreases by \(\displaystyle r=20\)% at the end of each year. Let \(\displaystyle n=3\).

Starting instead at the same initial quantity, find the value after n years of r% annual growth.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A device has initial model value 100000 units. Its value decreases by \(\displaystyle r=30\)% at the end of each year. Let \(\displaystyle n=4\).

Starting instead at the same initial quantity, find the value after n years of r% annual growth.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A device has initial model value 100000 units. Its value decreases by \(\displaystyle r=30\)% at the end of each year. Let \(\displaystyle n=4\).

Find the total percentage decrease over n years of decay.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A device has initial model value 500 units. Its value decreases by \(\displaystyle r=10\)% at the end of each year. Let \(\displaystyle n=2\).

Find the total percentage decrease over n years of decay.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

For this exercise only, 1 A-unit = \(\displaystyle \frac{3}{2}\) B-units. No fees apply except where a part explicitly states one.

Convert 120 A-units to B-units without a fee.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

For this exercise only, 1 A-unit = \(\displaystyle \frac{7}{4}\) B-units. No fees apply except where a part explicitly states one.

Convert 140 A-units to B-units without a fee.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

For this exercise only, 1 A-unit = \(\displaystyle \frac{7}{4}\) B-units. No fees apply except where a part explicitly states one.

Convert 180 B-units to A-units without a fee.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

For this exercise only, 1 A-unit = \(2\) B-units. No fees apply except where a part explicitly states one.

Convert 60 B-units to A-units without a fee.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

For this exercise only, 1 A-unit = \(2\) B-units. No fees apply except where a part explicitly states one.

An A-unit fee of 2 is deducted from 160 A-units before conversion. How many B-units remain?

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

For this exercise only, 1 A-unit = \(\displaystyle \frac{9}{4}\) B-units. No fees apply except where a part explicitly states one.

An A-unit fee of 3 is deducted from 60 A-units before conversion. How many B-units remain?

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

For this exercise only, 1 A-unit = \(\displaystyle \frac{9}{4}\) B-units. No fees apply except where a part explicitly states one.

How many A-units must be paid to obtain 90 B-units if a fixed 3 A-unit fee is charged in addition?

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

For this exercise only, 1 A-unit = \(\displaystyle \frac{5}{2}\) B-units. No fees apply except where a part explicitly states one.

How many A-units must be paid to obtain 120 B-units if a fixed 4 A-unit fee is charged in addition?

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.