Mixed Finance - Math AI SL

Peter invests AUD 2000 (AUD = Australian dollars) in a bank that offers simple interest at a rate of 3% per annum.

Calculate how much money he has in the bank after 10 years.

Enter only the numeric answer (without units).

Peter invests AUD 2000 (AUD = Australian dollars) in another bank that offers 2.9% interest compounded annually.

Calculate how much money he has in the bank after 10 years to 2 dp.

Enter only the numeric answer (without units).

Saul bought a new bicycle for US$350. Ever year the value of the bicycle decreased by 12%. Find the value of the bicycle at the end of five years to the nearest dollar.

Enter only the numeric answer below (without units).

Marek invested PLN 4500 (Polish złoty) in a bank that paid r% interest per annum compounded quarterly. After six years he had PLN 5179.27 in the bank. Find the interest rate.

Enter your answer as a percentage.

Nathalie borrows €6500 for a motorcycle. The loan is for five years at 2.5% interest per annum. Find how much Nathalie's monthly payments are.

Enter only your numeric answer without units, to 2 dp.

A car has initial value $25,000. It falls in value by $1500 each year. How many years does it take for the value to reach $10,000?

Enter only your numeric answer.

When digging a rail tunnel there is a cost of $10,000 for the first metre. Each additional metre costs $500 more per metre (so the second metre costs $10,500). How much does it cost to dig a tunnel 200 m long?

Enter only your numeric answer.

When Elsa was born, her grandparents deposited $100 in her savings account and then on subsequent birthdays they deposit $150, then $200, then $250, and so on. How much have they deposited in total just after her 18th birthday?

A teacher starts on a salary of £25,000. Each year the teacher gets a pay rise of £1500. The teacher is employed for 30 years.

Find their salary in their final year. Enter only your numeric answer.

A teacher starts on a salary of £25,000. Each year the teacher gets a pay rise of £1500. The teacher is employed for 30 years.

Find the total they have earned during their teaching career. Enter only your numeric answer.