geno3141

rosala:  (I don't want to barge in but CPhill doesn't seem to be on line right now.)

I beleive that your instructor just gave you a partial formula, perhaps to ease you into this type of problem.  The complete formula is:                   A = P(1 + r/n)^(n·t)

where n represents the number of times that the money is compounded per year and t is the number of years.

Also, to get the answer that your book has requires compounding for 1 1/2 years.

If you solve this:  A  =  4096(1 + .125/2)^(2·1.5)  you will get 4913.

If you weren't given the 1 1/2 year part, then you can't get the answer.

If the number of elements in a set is n, then there will be 2^n number of subsets.

For every set, the empty set {} is a subset as well as the full set.

So the subsets are { }, {A}, {B}, {C}, {A,B}, {A,C}, {B,C}, and {A,B,C}.

If the question is "find the number of proper subsets", then don't include the full set. 

Do you have integration by parts?

If so:  ∫u dv  =  u·v -∫v du

Let u = x  -->  du = dx

Let dv = sin(7x)dx  -->  v = -(1/7)cos(7x) 

Substituting:  ∫xsin(7x)dx  =  -(x/7)cos(7x) - ∫-(1/7)cos(7x)dx

                     ∫xsin(7x)dx  =  -(x/7)cos(7x) +(1/7) ∫cos(7x)dx

                     ∫xsin(7x)dx  =  -(x/7)cos(7x) + (1/49)sin(7x) + C

|x-1|.

I don't mean to be a wise guy, but is there more to the problem?

A function can have only one y-value for each x-value.

That is there can be only one point of the type (2,_) and only one point of the type (3,_), and only one point of the type (4,_), and only one point of the type (5_).

I will give you an example of something which is not a function:  { (2,4), (3,2), (4,6), (3,5), (5,4) }.

This is not a function because there are two points that are of the type (3,_).  In a function, each x-value can be used only once; you can't have both (3,2) and (3,5).

------------------------

However, the y-value can be used more than once; this is a function:  { (2,4), (3,6), (4,2), (5,4), (6,4)}.

The y-values can be used as often as wanted -- but each x-value can be used only once.

If you have a decimal such as 3.45 or .125 or .006 and wish to convert it into a percent, multiply the decimal by 100 (this will move the decimal point two places to the right).

Find the answer to 9 + 2/3.

Divide this answer by 100 (move the decimal point two places to the left).

The equation is:  y  =  (6/11)x + b  You know that  x = -4  and  y = -1 so enter those values:

                        -1  =  (6/11)(-4) + b

                        -1  =  -24/11 + b

Then, solve for  b  by adding 24/11 to both sides.

Hit the (2nd) button and then the sin button, which turns into asin and then enter the value; it will return the size of the angle.

2Reels + 5Rods = 195

4Reels + 3Rods = 131

If you multiply the first equation by -2:  -4Reels - 10Rods = -390

Leave the second equation alone:           4Reels +  3Rods =  131

                                                          -----------------------------

Now add down the columns:                                -7Rods = -259

Divide by -7:                                                          Rods = 37

If 2Reels + 5Rods = 195  and there were 37 Rods, then:    2Reels + 5(37) = 195

                                                                                      2Reels + 185    = 195

Subtract 185:                                                                               2Reels = 10

                                                                                                     Reels = 5

Check:  2Reels + 5Rods = 197   --->  2(5) + 5(37)  =  10 + 185  =  195  check!

            4Reels + 3Rods = 131  --->  4(5) + 3(37)  =  20 + 111  =  131  check!

Once you have two equations in two unknowns, look to see if you can get rid of one of the variables by adding down; then multiply one or both equations so the coefficients are negatives of each other.