Perkins Summers
12/06/2024 · Primary School

8. The rule \( V_{n}=6000 \times 1.09^{n} \) could be used to model which of the following scenarios? A. An investment of \( \$ 6000 \) with an interest rate of \( 0.09 \% \) p.a, compounding monthly. B. An investment of \( \$ 6000 \) with an interest rate of \( 0.09 \% \) p.a, compounding quarterly. C. An investment of \( \$ 6000 \) with an interest rate of \( 9 \% \) p.a, compounding monthly. D. An investment of \( \$ 6000 \) with an interest rate of \( 9 \% \) p.a, compounding annually. 9. Find the final value of each of the following investments, compounding yearly, correct to the nearest cent. a. \( \$ 120 \) invested for three years with compound interest of \( 5 \% \) per annum. b. \( \$ 9000000 \) invested in a compound interest account for five years at \( 8.2 \% \) per annum. c. \( \$ 230000 \) invested in a compound interest account for twenty years at \( 2.31 \% \) per annum.

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**Problem 8:** The correct scenario is **D**. An investment of \$6000 with a 9% annual interest rate, compounded annually. **Problem 9:** - **a.** \$120 grows to \$138.92. - **b.** \$9,000,000 grows to \$13,346,850.00. - **c.** \$230,000 grows to \$363,152.91.

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