Answer: Box A, 2.777
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Explanation:
When using a calculator or long division, you should find that
7/9 = 0.7777...
where the 7s go on forever
So we can say that 7/9 = 0.777 approximately. You could argue that the last '7' would round up to an '8' and we could say 7/9 = 0.778; however, I'll stick to the first value so that it matches with the answer.
Since 7/9 = 0.777, this means 2 & 7/9 = 2 + 7/9 = 2 + 0.777 = 2.777 which is box A.
Given:
perfect score- 100
number of questions of the test- 25
worth of each question- 4 points
Fred's score- 84
n- number of questions Fred had answered incorrectly.
solution:
solve for n
division sentence: (100 ÷ 4 ) - ( 84 ÷ 4 ) = n
(100 ÷ 4 ) - ( 84 ÷ 4 ) = n
25 - 21 = n
4= n
therefore, Fred had answered 4 test questions incorrectly.
Answer:
Option A:
is the correct answer.
Step-by-step explanation:
The point-slope form of an equation of a line is given by:

Here:
m is the slope of the line
are the coordinates of the point from which the line passes.
Now looking at the given question:

Putting the values in the general form of point-slope form of equation of line

Hence, the point-slope form of given line is:

Observing the option given, it can be concluded that Option A:
is the correct answer.
The formula that calculates the compound rate from the given values is ![r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})](https://tex.z-dn.net/?f=r%20%3D%20n%28-1%20%2B%20%5Csqrt%5B10n%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%29)
<h3>How to determine the compound interest rate?</h3>
The compound interest formula is:

Where:
- P represents the principal amount
- r represents the compound interest rate
- n represents the number of times the interest is compounded
- t represents the time in years
- I represents the interest
We start by adding P to both sides

Divide through by P

Take the nt-th root of both sides
![\sqrt[nt]{\frac{P + I}{P}} = 1 + \frac rn](https://tex.z-dn.net/?f=%5Csqrt%5Bnt%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%20%3D%201%20%2B%20%5Cfrac%20rn)
Subtract 1 from both sides
![-1 + \sqrt[nt]{\frac{P + I}{P}} = \frac rn](https://tex.z-dn.net/?f=-1%20%2B%20%5Csqrt%5Bnt%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%20%3D%20%5Cfrac%20rn)
Multiply through by n
![r = n(-1 + \sqrt[nt]{\frac{P + I}{P}})](https://tex.z-dn.net/?f=r%20%3D%20n%28-1%20%2B%20%5Csqrt%5Bnt%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%29)
In this case, t = 10
So, we have:
![r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})](https://tex.z-dn.net/?f=r%20%3D%20n%28-1%20%2B%20%5Csqrt%5B10n%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%29)
Hence, the formula that calculates the compound rate is ![r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})](https://tex.z-dn.net/?f=r%20%3D%20n%28-1%20%2B%20%5Csqrt%5B10n%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%29)
Read more about compound interest at:
brainly.com/question/13155407
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Answer:60
Step-by-step explanation: