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Commission:  3% of $45,000  =  .03 x 45000  =  $1350.00

Adding this to his base pay:  $2000.00 +  $1350.00  will give you the amount he earns in a typical month.

f(x) = 4x - 3           g(x) = 8x - 1

(fºg)(x)  =  f( g(x) )        Place g(x) into the f(x) formula every place there is an x.

              = f( g(x) ) = f( 8x - 1 )  =  4( 8x - 1 ) - 3

                                                 = 32x - 4 - 3

                                                 = 32x - 7

How fast are they going?

I don't understand "After 400 land miles"; is that for one of them, for both of them?

2^5  =  √4^5  =  [ (4)^(1/2) ] ^ 5           The square root is the one-half power. 

If you have an exponent to an exponent, multiply the exponents:  (1/2) x 5  =  5/2

     = 4^(5/2)

You can use the calculator at this site to get this answer.

What is the question?

  sin(A) = 12/13 in quadrant 2            tan(B) = -4/3 in quadrant 4

Since A is in Q2, the missing side is -5 and cos(A) = -5/13 and tan(A) = -12/5

tan(A+B) = (tan(A) + tan(B) / (1 - tan(A)tan(B))

   =  (-12/5 + -4/3) / (1 - (-12/5)(-4/3))  =   56/33

Assuming that he can run at the same speed, he can run twice as far in twice the time.

Question #1:  sin(A) = 12/13 in quadrant 2         sin(B) = -7/25 in quadrant 4

Since A is in Q2, the missing side is -5 and cos(A) = -5/13 and tan(A) = -12/5

Since B is in Q4, the missing side is 24 and cos(B) = 24/13 and tan(B) = -7/24

tan(A-B) = (tan(A) - tan(B) / (1 + tan(A)tan(B))

   =  (-12/5 - -7/24) / (1 + (-12/5)(-7/24))  =   -253/204

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Question #2:  cos(A) = 12/13 in quadrant 1         sin(B) = 8/17 in quadrant 2

Since A is in Q1, the missing side is 5 and sin(A) = 5/13 and tan(A) = 5/12

Since B is in Q2, the missing side is 15 and cos(B) = -15/17 and tan(B) = -8/15

tan(A+B) = (tan(A) + tan(B) / (1 - tan(A)tan(B))

   =  (5/12 + -8/15) / (1 - (5/12)(-8/15))  =   -21/220

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Question #3:  sin(A) = 12/13 in quadrant 2            tan(B) = -4/3 in quadrant 4

Since A is in Q2, the missing side is -5 and cos(A) = -5/13 and tan(A) = -12/5

tan(A+B) = (tan(A) + tan(B) / (1 - tan(A)tan(B))

   =  (-12/5 + -4/3) / (1 - (-12/5)(-4/3))  =   56/33

100% is equal to 1 in decimals, so 165 would be 0.16.

What is meant by "an"?

What is "an-an-1=1/99"?

And, what is the question?

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

I dont now the answer

|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).

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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.

1kg = 2.2 lbs means 

1 lb = 1/2.2 kg  so

112 lb = 112/2.2 kg

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This is a right-angled triangle in which you want to know the opposite length given the hypotenuse and the angle.  This means using the sine function.

sin (15°) = height/800

or

height = 800*sin(15°) meters

You can do this on the calculator here.

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Exponentiation (raising to a power) takes precedence in this calculation, i.e. do it first

-3² + 2³*6  = -9 + 8*6 = -9 + 48 = 39

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