If you assign variables to the problem, it can make things a lot simpler. Lets say chairs are x and tables are y. Therefore you have:
2x+6y=40
5x+3y=25
Now you can isolate the variable of one equation and put it into another (it doesn't matter which. I'm going to manipulate the top equation to plug into the bottom one).
2x=40-6y
x=20-3y
Now I plug into bottom equatioin:
5(20-3y) + 3y=25
100-15y+3y=25
100-12y=25
-12y=-75
y=$6.25
Now you can plug in y in either equation to get x.
2x+6(6.25)=40
37.5+2x=40
2x=2.5
x=1.25
So it costs $6.25 for each table and $1.25 for each chair. If you think about it, it would make sense for the table to cost more for the chair.
167 + 19 = 186x
186x + 16 = 1132
subtract 16 from both sides
186x = 1116
divide by 186 on both sides
x = 6
they bought 6 tickets total
The power series for given function 
is 
For given question,
We have been given a function g(x) = 4x / (x² + 2x - 3)
We need to find a power series for the function, centered at c, for c = 0.
First we factorize the denominator of function g(x), we have:
We can write g(x) as,
We know that, 
if |x| < 1
and 
if 
if |x| < 1 and if
if |x| < 1
Therefore, the power series for given function is
Learn more about the power series here:
brainly.com/question/11606956
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Consider the substitution,
so that the integral is equivalent to
Notice that
which means 
is odd, so
Perhaps more work than necessary, but it does make it easier to see that the original integrand exhibits some symmetry about 
.
The first thing to consider is that when computing the APR for one month you must divide the interest rate by 12 since the 13.5% is based annually. 13.5% is equivalent to .135 in decimal form. But then when we divide it by 12 we get, (.135)/12 = .01125 which is your monthly interest rate versus your annual one. When multiplied by the amount of the cash advance you come up with the following fee: (principle)(monthly int. rate) = total interest charged for month ($2,790)(.01125) = $31.3875 The next thing to consider is the additional charge of the 3.5%. This is equivalent to .035 in decimal form. When multiplied by the amount of the cash advance you come up with the following fee: (principle)(advance int. fee) = total cash advance fee ($2790)(.035) = $97.65 So the total amount due at the end of the month would be $2790 + $31.39 + $97.65 = $2919.04 after interest rates and the additional fee gets applied.
