Which of the following is the best approximation for the product of 42.081 x 99.91?
1 answer:
You might be interested in
Answer:
See below.
Step-by-step explanation:
The converse of the Pythagorean Theorem tells us that if the sum of the square of the two shorter lengths is equivalent to the square of the longest length, then the triangle is indeed a right triangle.
We have the side lengths (x²-1), (2x), and (x²+1).
We can see that our hypotenuse will be (x²+1), since it will always yield the largest value for x.
So, we can use the Pythagorean Theorem:
Substitute (x²-1) and (2x) for a and b, and substitute (x²+1) for c:
Square each expression:
Combine like terms:
Add:
We can see that the resulting equations are equivalent, proving that the triangle is indeed a right triangle.
And we're done!
<u>Answer-</u>
<em>The finance charge is </em><em>$295.84</em>
<u>Solution-</u>
We know that,
As the original cost of the drum is = $1972
She paid 20% as down payment. So the amount of down payment is,
She has to pay 36 monthly payments of $52.04 each. So the amount to be paid is,
So the total amount paid will be,
Therefore, the finance charge is