Answer:
$23271.49
Step-by-step explanation:
The function models the rise in the cost of a product that has a cost of C today, subject to an average yearly inflation rate of r for t years.
Now, if the average annual rate of inflation over the next 8 years is assumed to be 2.5% then we have to find the inflation-adjusted cost of a $19100 motorcycle after 8 years.
Therefore, the cost will be dollars. (Answer)
Any number inside the modulus sign becomes positive. This means and so we have,
Solving these gives us
However if we check the second solution in the original equation we obtain . This is false and so
can't be a solution.
Therefore the only solution is .
(Note: I'm not sure why the second solution didn't work but when there's a modulus sign involved it always pays to check your final answers to be sure. I'll have a think about it but in case you find out before I do, I'd be interested to know in the comments.)
<u>Answer:</u>
x = ±5
<u>Step-by-step explanation:</u>
We are given the following polynomial function and we are to find all of its real roots:
Let so we can now write it as:
Factorizing it to get:
Substitute back to get:
The quadratic factor has only complex roots. Therefore, the real roots are x = ±5.
