The division of 8 1/8 by 7 1/12 is 91/136.
<h3>What is division?</h3>
Division simply has to do with reduction of a number into different parts. On the other hand, a mixed number is the number that's made up of whole number and fraction.
Dividing 8 1/8 by 7 1/12 will go thus:
8 1/8 ÷ 7 1/12
Change to improper fraction
65/8 ÷ 85/7
= 65/8 × 7/85
= 91/136
The division will give a value of 91/136.
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Answer:
10 units
Step-by-step explanation:
LMNO is a square.
All sides of square are equal
MN = LM
3x + 1 = x + 7
3x - x = 7 - 1
2x = 6
x = 6/2
x = 3
LM = x + 7 = 3 + 7 = 10
LM = 10 units
Answer:
The balance is $5989.5
Step-by-step explanation:
The savings plan balance is given by the following formula:
![A = P*\left[\frac{(1 + \frac{APR}{n})^{n*Y} - 1}{\frac{APR}{n}}\right]](https://tex.z-dn.net/?f=A%20%3D%20P%2A%5Cleft%5B%5Cfrac%7B%281%20%2B%20%5Cfrac%7BAPR%7D%7Bn%7D%29%5E%7Bn%2AY%7D%20-%201%7D%7B%5Cfrac%7BAPR%7D%7Bn%7D%7D%5Cright%5D)
In which A is the savings plan balance, P is the monthly payment, APR is the annual percentage rate(decimal), n is the number of payments per year and Y is the number of years.
In this problem, we have that
Find the savings plan balance after 3 years with an APR of 7% and monthly payments of $150.
So we have to find A when
.
So
![A = P*\left[\frac{(1 + \frac{APR}{n})^{n*Y} - 1}{\frac{APR}{n}}\right]](https://tex.z-dn.net/?f=A%20%3D%20P%2A%5Cleft%5B%5Cfrac%7B%281%20%2B%20%5Cfrac%7BAPR%7D%7Bn%7D%29%5E%7Bn%2AY%7D%20-%201%7D%7B%5Cfrac%7BAPR%7D%7Bn%7D%7D%5Cright%5D)
![A = 150*\left[\frac{(1 + \frac{0.07}{12})^{12*3} - 1}{\frac{0.07}{12}}\right]](https://tex.z-dn.net/?f=A%20%3D%20150%2A%5Cleft%5B%5Cfrac%7B%281%20%2B%20%5Cfrac%7B0.07%7D%7B12%7D%29%5E%7B12%2A3%7D%20-%201%7D%7B%5Cfrac%7B0.07%7D%7B12%7D%7D%5Cright%5D)

The balance is $5989.5
Answer:
x = -3
Step-by-step explanation:
The line parallel to x=8 is another vertical line:
x = constant
To make it go through a point with an x-coordinate of -3, the constant must be -3.
Your line is ...
x = -3