The absolute value of a number is its distance away from zero. Depending on how far away a number is, it has a less or greater absolute value. (-2,-2) have the same absolute value while (-2,5) have a different absolute value. Which has a greater absolute value? -25 or 6? The answer: -25, it is farther away from zero.
Answer:
The exact interest on $5,870 at 12% is $410.9
Step-by-step explanation:
From the information provided we know that
Principal amount: $5,870
Interest rate: 12% -> 0.12
Time: 7 months (From June to December)
When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:

where P is principal, r is the rate of interest and t is the time in years.
We need to convert the 7 months into 1 year.

Now we can use the above formula

Therefore the exact interest on $5,870 at 12% is $410.9
Use the Pythagorean theorem. The equation for this right triangle would be a^2+b^2=c^2. Since you have one leg and the hypotenuse, you can plug these into the equation. It would be 7^2+b^2=12^2. Do the exponents. You will get 49+b^2=144. You need to get b by itself so subtract each side by 49. You get the equation b^2=95. Square root each side to get b=9.746. This rounds to 9.7. So the answer is A. Hope this helps! ;)