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gibson:teaching:fall-2012:math445:lab4 [2012/09/17 20:08] gibson created |
gibson:teaching:fall-2012:math445:lab4 [2012/09/17 20:12] (current) gibson |
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the correct value, or we could use a built-in MATLAB function that | the correct value, or we could use a built-in MATLAB function that | ||
does the same thing. It is called ''fzero'' and it finds a value that | does the same thing. It is called ''fzero'' and it finds a value that | ||
- | will result in the function returning a zero. On line 2 of you code | + | will result in the function returning a zero. On line 2 of your code |
put the line ''payment=fzero(@LoanPay,[0,loan])'' and then change line 5 | put the line ''payment=fzero(@LoanPay,[0,loan])'' and then change line 5 | ||
to read ''bal=LoanPay(payment)'' and run this with the command | to read ''bal=LoanPay(payment)'' and run this with the command | ||
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interest paid during the life of the loan. Use this code to answer the following questions: | interest paid during the life of the loan. Use this code to answer the following questions: | ||
- | **1.** If you borrow $15,000 for 5 years at a 5% interest rate, how much interest would you end | + | **1.** If you borrow %%$%%15,000 for 5 years at a 5% interest rate, how much interest would you end |
up paying? | up paying? | ||
- | **2.** If you borrow $15,000 for 5 years at a 10% interest rate will you end up paying exactly | + | **2.** If you borrow %%$15,000%% for 5 years at a 10% interest rate will you end up paying exactly |
double in total interest compared to a 5% interest rate? | double in total interest compared to a 5% interest rate? | ||
- | **3.** A typical home in the area around Durham, NH costs around $300,000. If you pay | + | **3.** A typical home in the area around Durham, NH costs around %%$300,000%%. If you pay |
- | $50,000 on the down payment and you borrow the remaining $250,000 for 30 years at a 4% | + | %%$50,000%% on the down payment and you borrow the remaining %%$250,000%% for 30 years at a 4% |
interest rate, how much interest would you end up paying? How does that amount compare | interest rate, how much interest would you end up paying? How does that amount compare | ||
to the original loan? | to the original loan? | ||
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pay off the mortgage in just 15 years instead of 30? How much would you save interest? | pay off the mortgage in just 15 years instead of 30? How much would you save interest? | ||
- | **5.** How much would you pay in interest if you borrowed $250,000 at a rate of 4% for 30 years | + | **5.** How much would you pay in interest if you borrowed %%$250,000%% at a rate of 4% for 30 years |
- | compared with how much you would pay interest if you borrowed $250,000 at a rate of | + | compared with how much you would pay interest if you borrowed %%$250,000%% at a rate of |
8% for 30 years. How do your payments compare for these two different scenarios? | 8% for 30 years. How do your payments compare for these two different scenarios? | ||