Question 1: Calculate the amount after 3 years if $2000 is invested at an annual growth rate of 5%.

Answer: 2520

Question 2: A sum of $1500 grows to $1800 in 2 years. Find the annual growth rate as a percentage.

Answer: 7.96

Question 3: If $1000 is invested at a rate of 4% per year, what will be its value after 5 years?

Answer: 1216

Question 1: A bank offers an investment account with a 6% annual compound interest rate. If you invest $2500, how long will it take to double your money? Show your working.

Answer: approximately 11.89 years

Question 2: Explain why a higher interest rate results in faster growth of an investment over time.

Answer: A higher interest rate increases the amount added to the principal each year, leading to faster growth due to compounding.

Question 1: Anna invests $3000 in a savings account with an annual interest rate of 4%. How much will her investment be worth after 10 years?

Answer: 4400.36

Question 2: A company’s investment grows from $10,000 to $15,000 in 4 years. Calculate the average annual growth rate.

Answer: 11.80

Question 1: If an investment of $5000 grows to $8000 in 6 years, what is the annual growth rate? Use the growth formula and show your working.

Answer: 14.47

Question 2: Determine the initial principal if $2500 accumulated to $4000 in 5 years at 7% annual growth.

Answer: 1807.29

Question 1: Plot the graph of y = 2x for x values from 0 to 10 on the grid.

Answer: Graph with points (0,0) to (10,20).

Question 2: Construct a triangle with sides 3cm, 4cm, and 5cm on the grid.

Answer: A right-angled triangle with the specified sides.

Question 1: A student calculates the amount after 3 years with principal $1000, rate 5%, as $1150, using simple interest instead of compound interest. Explain and correct this mistake.

Answer: The student used simple interest. The correct compound interest amount is approximately $1157.63.