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nvm i was not looking at the shaded portion 

thank you !

Yeah, X^2...I did this one rather rapidly.....I could have keyed in something wrong....your proceedure is correct....

OK, NSS...here's the procedure....

1.  [ Add all the data  and divide by 24]  ...this gives us the mean

2.  Using each data point....... take this data point and subtract the mean from it....square this result

For instance.... we would calculate  (182 - mean)^2  =   something

Note...that this will be a little lengthy because we must do this 24 times...once for each data point

3. Add all 24 of the values you find and divide by the number of data points (24)...... this will be the variance

4. Take the square root of  this result....this will be the standard deviation...!!!

I'm ready!

Yes, the spook is close. Spread the spooky memes and we shall spook the world.

ME..ME....!!!

[ Halloween is my favorite  holiday   !!! ]

We want to slove this

-0.02x + 7.5  > -0.09x + 10.2     subtract 7.5 from both sides...add 0.09x to both sides

.07x > 2.7     divide both sides by .07x

x > 38.57    [ which means that  Elite is cheaper when  39 checks are written ]

OK, NSS

Add the amount he deposited to the beginning balance of 728.32

Then, from this answer, subtract the total of the checks written...

This will be the final answer

I'll check your results, if you want me to....

If the account earns intrerest of 0.75% a month...this translates to  .0075  as a decimal

So...interest earned  - financial charge  =  income earned

1000 (.0075)  -  2  =

7.50   - 2  =

5.50  =   $5.50   ⇒  B

im sorry im just a little bit confused how come you decided to pinpoint 5,12?

When the fares of the two cab companies are compared, what is the cheaper fare for a 5-mile trip?

Let's find the fare that each company charges for a 5-mile trip.

On the ABC Cabs graph, there is the point  (5, 12) .

(Also notice that the point  (5, 10)  is not on the graph.)

So when the number of miles is 5, the fare is 12 dollars.

ABC Cabs charges 12 dollars for a 5-mile trip.

On the Tary Taxicabs graph, there is the point  (5, 9) .

(Also notice that the point  (5, 8)  is not on the graph.)

So when the number of miles is 5, the fare is 9 dollars.

Tary Taxicabs charges 9 dollars for a 5-mile trip.

9 dollars is the cheaper fare for a 5-mile trip.

Ask yourself why isn't the answer g, reverse the question and you'll find the answer. I think

happy birthday man

Landry, are you sure this question is written properly?   

I assume that the interest only accrues once a year.

So we have two scenarios.  Angela applies $500 to either the credit card debt, or to the student loan debt.

First scenario the credit card is paid off.  The student loan debt increases to (1+0.07) x $2000 = $2140

Second scenario the credit card debt increases to (1+0.15) x $500 = $575

and the loan debt increases to (1+0.07) x $1500 = $1605

for a total debt of $575 + $1605 = $2180

So she is $2180 - $2140 = $40 better off paying the credit card off in full first

b)
Find the coordinates of point N, such that the midpoint of \(\mathbf{\overline{MN}}\) is the origin.

\(M = \left( 3a,-\dfrac{b}{2} \right) \\ N = \left( N_x, N_y \right) \)

1. Solution:

\(\begin{array}{|rclrcl|} \hline \left( \dfrac{3a+N_x}{2}, \dfrac{-\dfrac{b}{2}+N_y}{2} \right) &=& \left( 0, 0 \right) \\\\ \dfrac{3a+N_x}{2} &=& 0 & \dfrac{-\dfrac{b}{2}+N_y}{2} &=& 0 \\ 3a+N_x &=& 0 & -\dfrac{b}{2}+N_y &=& 0 \\ N_x &=& -3a & N_y &=& \dfrac{b}{2} \\\\ \mathbf{N} & \mathbf{=} & \mathbf{ \left( -3a , \dfrac{b}{2} \right) } \\ \hline \end{array}\)

2. Solution:

\(\begin{array}{|rcll|} \hline N &=& -M \\ &=& - \left( 3a,-\dfrac{b}{2} \right) \\ \mathbf{N} & \mathbf{=} & \mathbf{ \left( -3a , \dfrac{b}{2} \right) } \\ \hline \end{array} \)

\(x^{-3/2} + 2x^{-1/2}+x^{1/2} =\\ x^{1/2}\left(x^{-2}+2x^{-1}+1\right) =\\ x^{1/2}\left(x^{-1}+1\right)^2\)

Any product made up of pairs of like prime factors will be a perfect square

there are 2 unique pairs, (2,2), (3,3)

there are 3 unique tetrads (2,2,2,2), (2,2,3,3), (3,3,3,3)

there are 3 unique hexads (2,2,2,2,3,3), (2,2,3,3,3,3), (3,3,3,3,3,3)

there are 2 unique octads (2,2,2,2,3,3,3,3), (2,2,3,3,3,3,3,3)

there is 1 unique decad (2,2,2,2,3,3,3,3,3,3)

So 11 perfect square factors 1, 4, 9, 16, 36, 81, 144, 324, 729, 1296, 2916, 11664

The answer to -17/9 divided by 1/3 would be -17/3

An easy way to do this is by setting up the equation like you would for multiplication. You use the reciprocal of the second fraction and just multiply as usual.

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