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OK. It sounds then that the floor interest rate (the minimum) is 5%. Apparently, you can't go lower than that, which, as I stated in the first answer that the original interest rate was 7%. If that is the case, then I have shown you how much money you will save dropping the interest by 2%. And that is all there is to it, because there no mention of any principal being paid back.

The 90,000 is the price of an item.

100,000/(1+0.04/4)4*8

$100,000(1.01)^32=$137,494.07

Vf  = Vi  + (-9.8m/s^2) t           where Vf is the final velocity, Vi is the initial velcocity, -9.8m/s^2  is the acceleration due to gravity, and t is the time.......note......Vi  = 0, since the penny is dropped....so we have

Vf = -9.8 (4.5)  ≈  -44.1 m/s    [ we need the negative because the object is moving in a downward direction ]

He was on a lot last night... Like at 1:00am for me and u Hayley. Yeah, u missed him... Hi guest! If u wanna be friends, put ur name so we know who u r, or create an account...

The velocity of falling objects is expressed by this equation:  v = g * t, where v=terminal velocity, g=acceleration due to gravity, which is 9.81 m/sec^2, t=time in seconds. So, your penny will have a terminal velocity of: v=9.81 X 4.5=44.145m/sec., ignoring air resistance.

I need to reduce the interest rate of my purchase of 90,000 by 2%, with a minimum rate of 5%. How do I get an answer and what exactly do I do?

Is the $90,000 the cost of some item or a loan? At any rate, it sounds like you are being charged 7% on your $90,000 and they want you to reduce the interest by 2% to 5%. Now, if it is a loan, it would involve calculating a periodic payment, first at 7% and then at 5% to see the difference between the two rates. Then you could compare the actual interest difference between the two rates.

If the $90,000 is just the cost of an item, then by dropping the interest by 2%, it would simply save you: 2% X $90,000=$1,800 per year, which would be the difference between 7% @ $90,000=$$6,300 and 5% @ $90,000=$4,500. The defference being $6,300 - $4,500=$1,800, as calculated above.

If it is a loan, then that is a different matter altogether. You have to clarify your problem.

Chris's answer is correct (and probably the one that was wanted) but it isn't unique!

For example we could also have f(x) = x  and g(x) = (x^2 + 1)^(1/2)

or    f(x) = x^2  and  g(x) = (x^2 + 1)^(1/4)

or   f(x) = x^3    and  g(x) = (x^2 + 1)^(1/6)

or ... etc.

Can also be done as follows:

.

sin(3x - 12)  / (x - 4)     as x →  4

We have a  0/0   situation, here....so we can use L'Hospital's Rule

Taking the derivative with respect to x on top/bottom, we have

3cos(3x - 12)      as  x  →  4  =

3cos(3(4) - 12)  =

3cos(12 - 12)  =

3cos(0)   =

3 * 1  =

3

This graph confirms the results :   https://www.desmos.com/calculator/60evrkvzkx

Just multiply 8 x 3.50

C(p)  =  .04p  + F       where F is the fixed cost  [ the cost we incur no matter how many pages are produced ]......so we have

6.00  = .04(100) + F      simplify

6.00 =  .40 + F    subtract ,40 from each side

5.60  = F     so.....the fixed cost per book = $5.60      and the general formula for the cost to produce each book is given by :

C(p)  = .04p + 5.60

ab+5bc,a=0,b=-6,and c=9

(0)(-6)  +  5(-6)(9)  =

0 + (-270)  =

-270

v(x)  = sin(x)        h(x)  = e^x

So   h(v(x))   means that we are putting "v"   into "h"......and we haave

h(v(x))  =  e^(sin(x))

Let f(x)   = sqrt(x)

Let g(x)  = x^2 + 1

So.....f(g(x))   means that we are putting  g(x)  into f (x)  for x....and we have

sqrt(g(x))   =   sqrt (x^2 + 1)

Find my answer here, Hayley :    http://web2.0calc.com/questions/help-pretty-please#r2

y=(A + 1)x + 8         (2,6)

First, Hayley...if the line passes through (2,6)......we know that  [ substituting for x, y in the given equation] :

6 = (A + 1)(2) + 8     simplify

6 = 2A + 2 + 8

6 = 2A + 10    subtract 10 from both sides

-4 = 2A   divide both sides by 2

-2  = A

And in the form, y = mx + b, then  y = (A + 1)x + 8 must mean that (A + 1)  is the slope....so

The slope  = (-2 + 1)   = -1

Proof

y = -1x + 8       and when x = 2

y = -1(2) + 8  =    -2 + 8   = 6

should be -6

Solve for x:
21x+168 = 27x

Subtract 27 x+168 from both sides:
-6 x = -168

Divide both sides by -6:
Answer: | x = 28

Pst. Could you please help me? (:

Find all solutions of cos(3z + pi) =0

Solve for z:
-cos(3 z) = 0

Multiply both sides by -1:
cos(3 z) = 0

Take the inverse cosine of both sides:
3 z = pi/2+pi n  for  n element Z

Divide both sides by 3:
Answer: | z = pi/6+(pi n)/3  for  n element Z

I understand. I'm asking a question right now. And also waiting for an answer. 

Excuse me,

I don't know either of u but, I would just like to point out that the maths site is for actual questions!

Not personal chatter! U wanna chat, do it privately in your message center!

Sorry for shouting but, I'm a big fan of this site and I would like it to be treated properly.

Thank u! :) 

Anyone?

Please look at your last example that I did for you, It'll help you :)