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MONTHLY PAYMENTS 1.11. 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.

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Presentation on theme: "MONTHLY PAYMENTS 1.11. 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."— Presentation transcript:

1 MONTHLY PAYMENTS 1.11

2 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.

3 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

4 Now lets make it more real

5 Let’s use the equation

6 You can actually use your calculator

7 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

8 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

9 Calculator Continued

10 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?

11 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?

12 Two additional equations…

13 Examples

14

15 For you to do…  Project p.82 – 83  For each situation ONLY fill out the table


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