= 6p + 36 +2p + 8
= 8p + 44
ANSWER
The midpoint of both diagonals is
![(1,0)](https://tex.z-dn.net/?f=%20%281%2C0%29)
EXPLANATION
We can use either diagonals to determine the midpoint.
We use the midpoint formula
![( \frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} )](https://tex.z-dn.net/?f=%20%28%20%5Cfrac%7Bx_1%20%2B%20x_2%7D%7B2%7D%20%2C%20%5Cfrac%7By_1%20%2B%20y_2%7D%7B2%7D%20%29)
Let us use the first diagonals H(-2,2) and J(4,-2)
![( \frac{ - 2 + 4}{2} , \frac{ - 2+ 2}{2} )](https://tex.z-dn.net/?f=%20%28%20%5Cfrac%7B%20-%202%20%2B%204%7D%7B2%7D%20%2C%20%5Cfrac%7B%20-%202%2B%202%7D%7B2%7D%20%29)
![( \frac{ 2}{2} , \frac{ 0}{2} )](https://tex.z-dn.net/?f=%20%28%20%5Cfrac%7B%202%7D%7B2%7D%20%2C%20%5Cfrac%7B%200%7D%7B2%7D%20%29)
![( 1, 0)](https://tex.z-dn.net/?f=%20%28%201%2C%200%29)
Using the second diagonals also gives,
![( \frac{ - 2 + 4}{2} , \frac{ - 3+ 3}{2} )](https://tex.z-dn.net/?f=%20%28%20%5Cfrac%7B%20-%202%20%2B%204%7D%7B2%7D%20%2C%20%5Cfrac%7B%20-%203%2B%203%7D%7B2%7D%20%29)
![( \frac{ 2}{2} , \frac{ 0}{2} )](https://tex.z-dn.net/?f=%20%28%20%5Cfrac%7B%202%7D%7B2%7D%20%2C%20%5Cfrac%7B%200%7D%7B2%7D%20%29)
<span>
<u><em>Answer:</em></u>9
<u><em>Explanation:</em></u>To get the fraction of a number, you will simply multiply the fraction by the given number.
For the given, we want to find </span>
![\frac{1}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20)
<span> of 45.
<u><em>This can be computed as follows:</em></u>
</span>
![\frac{1}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20)
of 45 =
![\frac{1}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20)
<span> * 45
= </span>
![\frac{1*45}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%2A45%7D%7B5%7D%20)
=
![\frac{45}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B45%7D%7B5%7D%20)
<span>= 9
Therefore, </span>
![\frac{1}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20)
<span> of 45 is 9
Hope this helps :)</span>
This is a fun one. Think of how the numbers have to be two in a row, so its asking which of those will multiply to 72?
Hope that helps you get started. Let me know if you need more help.
Answer:
The annual interest he receives is $25000
Step-by-step explanation:
We are given
Mr. Gardener has $300,000 in a deposit account
so,
P=300000
receives 8 1 3 % interest annually
so, r=8 1/3 %
%
time =1 year
so, t=1
now, we can use interest formula
![I=\frac{P\times r\times t}{100}](https://tex.z-dn.net/?f=I%3D%5Cfrac%7BP%5Ctimes%20r%5Ctimes%20t%7D%7B100%7D)
now, we can plug values
![I=\frac{300000\times \frac{25}{3}\times 1}{100}](https://tex.z-dn.net/?f=I%3D%5Cfrac%7B300000%5Ctimes%20%5Cfrac%7B25%7D%7B3%7D%5Ctimes%201%7D%7B100%7D)
now, we can simplify it
![I=25000](https://tex.z-dn.net/?f=I%3D25000)
So,
The annual interest he receives is $25000