(x + 10)² - 1
= (x² + 20x + 100) - 1
= x² + 20x + 99
None of the choices you provided are correct. Did you type in the question wrong?
Answer:
Step-by-step explanation:
<u>Method 1:</u>
$300 on school supplies
1/10 on notebooks
As you're finding how much is left:
10/10-1/10=9/10
Convert 9/10 into a decimal
9/10=0.9
300*0.9=$270
OR
<u>Method 2: </u>
1/10=0.1
300*0.1=$30
Take away 30 from $300
$300-30=$270
By using either method, You would still have $270 left.
How this helps!!!
Have a nice day :)
Proof by induction
Base case:
n=1: 1*2*3=6 is obviously divisible by six.
Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.
For n+1:
(n+1)(n+2)(n+3)=
(n(n+1)(n+2)+3(n+1)(n+2))
We have assumed that n(n+1)(n+2) is divisble by 6.
We now only need to prove that 3(n+1)(n+2) is divisible by 6.
If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.
The "cool" part about this proof.
Since n is a natural number greater than 1 we can say the following:
If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.
Answer:
3,992.34 (I think)
Step-by-step explanation:
Set an equation:
25000(1+.025)^6
and you should get an answer of 28992.33546
Then you should subtract the initial amount which is 25000 to find out how much interest is being paid.
So finally the answer would be 3,992.34.
If im not wrong that is :)