The distance between B and B' will be the same as distance between A and A'.
= sqrt ( (5-1)^2 + ( 1 - -2)^2)
= sqrt (16 + 9)
= 5 units answer
3x-4y=65
3x=65+4y
x=(65+4y)/3, when y=4
x=(65+4*4)/3
x=(65+16)/3
x=81/3
x=27
Answer:
1/7 = 1/7
Step-by-step explanation:
I do believe that the answer is 900.
Steps:
I first set up a proportion, with 8/100 and 72/x (x being the number we are trying to find)
As I was taught, you multiply 100 by 72, which equals 7,200.
Then, I divided 7,200 by 8, which gave me 900.
This is what the proportion process should have looked like:
8/100 72/x
7,200/8
x=900
I hope this helps!
Answer:
- $272 was invested in the savings account at 11%
- $572 was invested in the savings account at 14%
Step-by-step explanation:
Let the amount in the savings account with 11% interest =x
She has $300 more in the 14% account.
Therefore amount saved at 14%=x+300
Simple Interest= Principal X (Rate/100) X Time
Since, the time is not given, we assume an annual interest.
Therefore, Time =1 Year
Total Interest = $110
Now, our total interest will be a sum of the interest earned at 11% and the interest earned at 14%.
![110=(x*0.11*1)+[(x+300)*0.14*1]\\110=0.11x+0.14x+42\\110=0.25x+42\\\text{Subtract 42 from both sides}\\110-42=0.25x+42-42\\68=0.25x\\\text{Divide both sides by 0.25 to obtain x}\\\frac{68}{0.25} =\frac{0.25x}{0.25} \\x=\$272](https://tex.z-dn.net/?f=110%3D%28x%2A0.11%2A1%29%2B%5B%28x%2B300%29%2A0.14%2A1%5D%5C%5C110%3D0.11x%2B0.14x%2B42%5C%5C110%3D0.25x%2B42%5C%5C%5Ctext%7BSubtract%2042%20from%20both%20sides%7D%5C%5C110-42%3D0.25x%2B42-42%5C%5C68%3D0.25x%5C%5C%5Ctext%7BDivide%20both%20sides%20by%200.25%20to%20obtain%20x%7D%5C%5C%5Cfrac%7B68%7D%7B0.25%7D%20%3D%5Cfrac%7B0.25x%7D%7B0.25%7D%20%5C%5Cx%3D%5C%24272)
Therefore:
- $272 was invested in the savings account at 11%
- $572 was invested in the savings account at 14%
Cheers!