Answer:
4033
Step-by-step explanation:
An easy way to solve this problem is to notice the numerator, 2017^4-2016^4 resembles the special product a^2 - b^2. In this case, 2017^4 is a^2 and 2016^4 is b^2. We can set up equations to solve for a and b:
a^2 = 2017^4
a = 2017^2
b^2 = 2016^4
b = 2016^2
Now, the special product a^2 - b^2 factors to (a + b)(a - b), so we can substitute that for the numerator:
<h3>

</h3>
We can notice that both the numerator and denominator contain 2017^2 + 2016^2, so we can divide by
which is just one, and will simplify the fraction to just:
2017^2 - 2016^2
This again is just the special product a^2 - b^2, but in this case a is 2017 and b is 2016. Using this we can factor it:
(2017 + 2016)(2017 - 2016)
And, without using a calculator, this is easy to simplify:
(4033)(1)
4033
Answer:
27.83 dollars
Step-by-step explanation:
The unit value if the 6 is the ones place
The answer is 2.84 so the best estimate is 3.00<span />
Answer: 1000
Step-by-step explanation:
9 8 1
Hundred tens one
The question is asking for to round to the nearest hundred (100) which means is rounding to [9] in this question.
The number of the place before the hundreds place is [8] on the tens place.
- When numbers are greater than or equal to 5, you round up a digit.
- When numbers are less than 5, you round down a digit.
[8] is greater than 5, so you round 9 up. When rounding 9 up, you get 10.
<h2>So, the final number will be 1000</h2>