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PSTAT171 Homework 1 Solution

Instruction: Review textbook chapter 1 first. Multiple reading might help. Then try to solve the homework problems quickly.
1. Let AK(t) = 3t2 + 2t + 800,. Show that the sequence of interest rate in is decreasing for n ≥ 17.
2. The monthly simple interest rate is .5 %. What is the yearly simple interest rate?
3. Elliott received an inheritance from his Aunt Ruth when she died on his fifth birthday. Onhis eighteenth birthday, the inheritance has grown to $ 32168. If the money has been growing by compound interest at an annual effective interest rate of 6.2 %, find the amount of money Aunt Ruth left to Elliott.
4. A savings account earns compound interest at an annual effective interest rate i. Given that i[2,4.5] = 20%, find d[1,3] .
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