2x = 8 ... therefore x = 4
4^2 = 16
Mark owes sally 85.00$ he finds 14 friends to help him pay her back. How much does each friend need to pay? (This includes mark)
Answer:
proof below
Step-by-step explanation:
Remember that a number is even if it is expressed so n = 2k. It is odd if it is in the form 2k + 1 (k is just an integer)
Let's say we have to odd numbers, 2a + 1, and 2b + 1. We are after the sum of their squares, so we have (2a + 1)^2 + (2b + 1)^2. Now let's expand this;
(2a + 1)^2 + (2b + 1)^2 = 4a^2 + 4a + 4b + 4b^2 + 4b + 2
= 2(2a^2 + 2a + 2b^2 + 2b + 1)
Now the sum in the parenthesis, 2a^2 + 2a + 2b^2 + 2b + 1, is just another integer, which we can pose as k. Remember that 2 times any random integer, either odd or even, is always even. Therefore the sum of the squares of any two odd numbers is always even.
<span>Number of times that a spin comes up 1 divided by the total number of spins.
P(1) = 8/21</span><span>
</span>
Answer:
The indifference point between the two options is $15,000 in sales.
Step-by-step explanation:
<u>To determine the indifference point, first, we need to use structure the monthly income formula for each option:</u>
<u></u>
Option 1:
y= 1,400 + 0.06z
Option 2:
y= 1,100 + 0.08z
<u>Now, we equal both formulas and isolate z:</u>
1,400 + 0.06z= 1,100 + 0.08z
300= 0.02z
$15,000= z
The indifference point between the two options is $15,000 in sales.
