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Diana has $X in her savings account today. She can make 5 annual deposits of $800 starting in one year's time. She earns interest at

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Diana has $X in her savings account today. She can make 5 annual deposits of $800 starting in one year's time. She earns interest at 10% p.a. compounded half yearly. Diana's account balance will be $8000 in 5 years. Which of the following can be used to find the balance (X) of her bank account today? (There may be more than one correct answer. You will lose marks by choosing a wrong answer. The minimum mark for the question is zero.) Select one or more: 800 a. X*(1 + 0.1)5 + - [(1 + 0.1)5 1] = 8000 0.1 b. 800 X + 0.1025 * [1 (1 + 0.1025)') = 8000 + (1+0.05)-10 * O d. X + 800 C. X + [(1 + 0.1025)5 1] = 8000 0.1025 800 -* [1 (1 + 0.1025)-5) = 8000 0.1025 800 e. X*(1 + 0.05)10 + [(1 + 0.1)5 1] = 8000 0.1 * f. 800 X*(1 + 0.1025)5 + * [(1 + 0.1025)5 1] = 8000 0.1025

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