Jamie purchased a condo in Naples, Florida, for $699,000. She put 20% down and financed the rest at
1 answer:
By applying the formulas of present and future values of annuity we can solve this problem. In this mortgage problem, first we have to find loan amount after the down payment. It is 699,000 - 699,000 * 0.2 = 559,200$. We have to set it as PV (Present Value) of annuity. Using the PV formula , we first find A, which is an annual payment. Exact calculation with mortgage calculator gives us A = 33,866.56$. After finding it, plugging this number into FV (Future Value) formula
, we find the value of the future value and it is 1,185,329.66$. And the total financial charge is 1,185,329.66 - 559,200 = 626,129.66$
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A rational number is any number that can be written as the ratio between two other numbers i.e. in the form 
Part A:
An easy choice that makes sense is 7.8, right in the middle. To prove that it's rational we need to write it as a ratio. In this case we have
Part B:
We need a number that can't be written as a ratio (because it neither terminates nor repeats). Some common ones are
, 
, 
and 
so it makes sense to try and use those to build our number. In this case 
works nicely.
Part A:
An easy choice that makes sense is 7.8, right in the middle. To prove that it's rational we need to write it as a ratio. In this case we have
Part B:
We need a number that can't be written as a ratio (because it neither terminates nor repeats). Some common ones are