IB Mathematics AI HL - Popular Quizzes
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Question 1
[Maximum mark: 6]
In this question give all answers correct to two decimal places.
Elena invests in a retirement plan in which equal payments of € are made at the beginning of each year. Interest is earned on each payment at a rate of % per year, compounded annually.
-
Find the value of the investment after years. [3]
-
Find the amount of interest Elena will earn on the investment over years.[3]
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Question 2
[Maximum mark: 6]
In this question give all answers correct to two decimal places.
George invests in a retirement plan in which equal payments of are made at the end of each year. Interest is earned on each payment at a rate of % per year, compounded semi-annually.
-
Find the value of the investment after years. [3]
-
Find the amount of interest George will earn on the investment over years.[3]
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Question 3
[Maximum mark: 6]
At the beginning of each year, Jack invests in a savings account that pays annual interest, compounded quarterly
-
Find the number of years it will take until Jack has in his account. [3]
At the beginning of each year, John invests in a savings account that pays an annual interest rate, compounded semi-annually. After years John has in his account.
- Find the annual interest rate. [3]
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Question 4
[Maximum mark: 6]
Charles plans to invest in a retirement plan for years. In this plan, he will deposit British pounds (GBP) at the end of every month and receive a interest rate per annum, compounded monthly.
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Find the future value of the investment at the end of the years. Give your answer correct to the nearest pound.[3]
After the -year period, Charles will start receiving regular monthly payments of GBP.
- Calculate the number of years it will take Charles's
monthly retirement to match the total
amount originally invested. [3]
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