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Published byAlison Vivian Malone Modified over 9 years ago
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MONTHLY PAYMENTS 1.11
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The situation – Buying a Car You want to buy a car that costs $10,000 and are planning on putting $1,000 down. Pretend it’s a perfect world and you have 0% interest. You plan on paying $250 per month Create a recursive function to model how much you would owe after n months.
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Answer the following How much would you owe after… 1 month? 2 months? 6 months? 1 year? Could you pay off the car in 36 months? Find a closed form function for this situation
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Now lets make it more real
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Let’s use the equation
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You can actually use your calculator
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Refresher Write a closed form function for the two tables below… XY∆ 78 86 94 102 110 XY∆ 0-3 1 2-5 3-15 4-31
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Refresher Write a recursive formula to find how much you owe after n months: Car costs $15,000 and you have a $2,000 payment. Interest rate is 4.7% APR
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Calculator Continued
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To use the formula Find how much is owed after 2 months Type in b(2) and hit enter On your own… How much do you owe after… 4 months, 6 months, 2 years? Can you pay the car off in 36 months?
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On your own Using your calculator…Car costs $15,000 and you have a $2,000 payment. Interest rate is 4.7% APR How much do you owe after… 2 months 6 months 12 months 3 years?
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Two additional equations…
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Examples
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For you to do… Project p.82 – 83 For each situation ONLY fill out the table
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