## Exam Style Question## Worked solutions to typical exam type questions that you can reveal gradually |

Question id: 15. This question is similar to one that appeared in an IB Studies paper in 2010. The use of a calculator is allowed.

All answers to this question should be given to the nearest whole currency unit.

Katie and Keith each have 9000 USD to invest.

Katie invests her 9000 USD in a bank account that pays a nominal annual interest rate of 3.8% compounded yearly. Keith invests his 9000 USD in an account that offers a fixed interest of 410 USD each year.

(a) Find the amount of money that Keith will have in the bank after 4 years.

(b) Find the amount of money that Katie will have in the bank at the end of 9 years.

(c) Find the number of complete years it will take for Katie’s investment to first exceed 12000 USD.

(d) Find the number of complete years it will take for Katie’s investment to exceed Keith’s investment.

Keith moves from the USA to Spain. He transfers 3500 USD into a Spanish bank which has an exchange rate of 1 USD = 0.89 euros. The bank charges 1.5% commission.

(e) Calculate the amount of money Keith will invest in the Spanish bank after commission.

Keith returns to the USA for a short holiday. He converts 900 euros at a bank in Rutherford, NJ and receives 1018.44 USD. The bank advertises an exchange rate of 1 euro = 1.15 USD.

(f) Calculate the percentage commission Keith is charged by the bank.

The worked solutions to these exam-style questions are only available to those who have a Transum Subscription. Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves. This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures. A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience. |

Drag this panel down to reveal the solution

The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

The solutions to the questions on this website are only available to those who have a Transum Subscription.

Exam-Style Questions Main Page

To search the **entire Transum website** use the search box in the grey area below.

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

©1997 - 2019 Transum Mathematics :: For more exam type questions and worked solutions go to Transum.org/Maths/Exam/