The <em>correct answers</em> are:
It would take 5 months and she would save $250.
Explanation:
Let m be the number of months.
For the first way of saving, $200 up front and $10 each month, the expression would be
200+10m.
For the second way of saving, $100 up front and $30 each month, the expression would be
100+30m.
Setting them equal gives us the equation
200+10m = 100+30m
Subtract 10m from each side:
200+10m-10m = 100+30m-10m
200 = 100+20m
Subtract 100 from each side:
200-100 = 100+20m-100
100 = 20m
Divide both sides by 20:
100/20 = 20m/20
5 = m
It would take 5 months.
$200 up front and $10 each month for 5 months:
200+10m
200+10(5)
200+50
250
She would save $250.
We know that 5x-3x =2x
So x(5x-3x)=x×2x
=(2x)^2
=4x^2
Which is given as 18.
X^2=18÷4
=4.5
So x=root over 4.5
Which is approximately 2.25
They will meet back up in 40 minutes because 8x5=40 and 10x4=40 which 40 is both a multple of 8 and 10 so you're welcome
The word numerous means many. If there are numerous errors in a paper then there are many errors.
Answer:
The condition for r is the following:
And for this case if we analyze the options the only impossible value is given by:
1.0528
Because this value is higher than 1 and not satisfy the general limits for r
Step-by-step explanation:
The correlation coefficient is a measure of dispersion and is a value between -1 and 1, and is defined as:
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D%7D)
The condition for r is the following:
And for this case if we analyze the options the only impossible value is given by:
1.0528
Because this value is higher than 1 and not satisfy the general limits for r
