Solution of the equation: 
Step-by-step explanation:
The equation that we have to solve in this problem is:

The first step to do is to rewrite the mixed fractions as improper fractions. We have:

And

So the equation becomes

Now we multiply by 4 each term on both sides, and we get

Now we subtract 29 from both sides,

And finally, we divide both sides by 4:

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We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:

Where:

Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:

Now we substitute the values:

Now we solve the operations, we get:

Therefore, the present value must be $39462.50
Step-by-step explanation:
Given:
and 
We can solve for f(x) by writing

Let 

Then


We know that f(0) = 0 so we can find the value for k:

Therefore,

Answer:
203 miles
Step-by-step explanation: hope this helps