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Assignment 5.1: Compound Interest (continued) 3. a) Graph and compare the value of an investment of $10,000 at 6%, compounded daily, with an investment of $10,000 at 6%, compounded annually. Print or sketch the graph. Include labels. (5 marks) b) What is the value of each investment after 0 2 years? (i) 20 years? (4 marks
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Answer #1

3)a )  

10,000 at 6% compunded daily

A = 10000 ( 1 + .06/365 )^365 t

10,000 at 6% compounded annually

A = 10000 ( 1 + .06 )^t

b) after 2 years

compunded daily = $ 11274.86

compounded annually = $ 11236

after 20 years

compounded daily = $ 33197.90

compounded annually = $ 32071.36

c) as the lime period increases the investment of compounded daily increases more rapidly than compounded annually

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