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I am in first year university so please keep answers to that level Question 4 (10 points) Compounding and investments Find the time required, to

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I am in first year university so please keep answers to that level

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Question 4 (10 points) Compounding and investments Find the time required, to the nearest 0.1 year, for the investment to reach the desired goal: a) $2,000 invested at 6. 75%, compounded daily; goal: $3,000 (5 points) b) Investment at 6. 75%, compounded continuously; goal: triple initial investment (5 points) Question 5 (15 points) Declining investments In August 2013, E-TRADE Financial indexed fund was tumbling by 1.5% (per annum). Given that the interest is compounded monthly: a) Determine the associated exponential model for the value of a $5,000 deposit after t years. (5 points) b) Assuming that this rate of return continued for 3 years, how much would a deposit of $5,000 in August 2013 be worth in August 2016? (Answer to the nearest dollar) (5 points) c) How many months will it take before the initial investment drops by a tenth should the falling trend last much longer? (Answer to the nearest month) (5 points)

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