A prism's volume is the area of the face that does not have more than 1 equal counterpart mulitplied by the height of the entire prism, in which the height of the prism is not any of the sidelengths of the face whose area is being multiplied.
Answer:
Line LM
Step-by-step explanation:
First, we need to know what the slope is of a line that would be perpendicular to a line with a slope of -5/6. To find this, we take the reciprocal and multiply it by -1. Therefore, the line we are looking for needs to have a slope of 6/5.
Based on the fact that the slope is positive, we can eliminate lines PQ and JK as they have a negative slope. This leaves us with lines LM and NO.
To find out whether or not it is between LM and NO, you could eyeball it by looking at the graph and simply counting which might be faster if you understand how to do that (rise/run), or you can use the pair of coordinates given to you on each line to calculate for slope.
Line LM -
Line NO -
Based on this, we know that line LM is perpendicular to a line that has a slope of -5/6.
<em>If you need help on calculating slope from two points, I'd suggest watching this video: </em><u>https://www.brightstorm.com/math/algebra/linear-equations-and-their-graphs/finding-the-slope-of-a-line-from-2-points-problem-1/#:~:text=Use%20the%20slope%20formula%20to,second%20points%20are%20x2%2C%20y2.</u>
Compound Interest is the interest that is <em>compounded on a particular sum of money or investment over a given period of time.</em>
- The interest for the first year is $1,576.25
- The sum of money after adding the original to the interest is $11,576.25
- The interest on the new total is $13,400.96
- Step 1: Find the interest for the first year.
The formula is given as:
A = P(1 + r/n)^nt
P = Principal = $10,000
R = Rate = 5%
n = 1
t = 1
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 10,000(1 + 0.05/1)^(1)(3)
A = 10,000.00(1 + 0.05)^(3)
A = $11,576.25
I = A - P
Hence:
I = $11,576.25 - $10,000.00
I (interest) = $1,576.25
-
Step 2: Add the interest to the original amount.
$10,000 + $1,576.25
= $11,576.25
-
Step 3: Determine interest in the new total
The formula is given as:
A = P(1 + r/n)^nt
P = Principal = $11,576.25
r = 0.05 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 11,576.25(1 + 0.05/1)^(1)(3)
A = 11,576.25(1 + 0.05)^(3)
A = $13,400.96
Therefore,
- The interest for the first year is $1,576.25
- The sum of money after adding the original to the interest is $11,576.25
- The interest on the new total is $13,400.96
To learn more, visit the link below:
brainly.com/question/16020930
Answer:
6.2 is an integer
Step-by-step explanation: