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3.14159265

If f(6)=9 and f(x)=g(x)+2, what point

If you graphed g(x) and f(x), f(x) for any givein x value, f(x) would always be 2 units highter. So there could never be any intersection of the two graphs.

 If f(6)=9 and f(x)=g(x)+2, what point

f(6)=g(x6)+2

9=g(6)+2

g(6)=7

I don't see that you can do anything else with this.  ://

Another mathematician might like to comment here.  :)

what is 1.8915071e+19 in numbers with no e and +19 cause i don't understand?!? Please answer!^_^

e can mean 2 different things, was this a calculator display?

If it was then I expect it means

1.8915071e+19     =    \(1.8915071\times 10^{19}\)

e is also the symbol used for euler number or napier's constant.  

This is confusing too because most people call it the Euler number but Euler's constant is a different number again. 

anyway

e = 2.7182818284590452

so it could mean

\(1.8915071\times e^{+19}\)

1.8915071*e^+19 = 337600539.4962055425176993

Or maybe I was not meant to insert the power sign and it could mean

1.8915071*e   +19 = 24.1416493783312661

That is an equation that combines FV, PV and PMT formulas into one "Master Equation", as it is known in the Investment Community. The advantages of this equation is that if you know four variables, it can solve directly for the fifth. It may look complicated and "scary", but is in fact very simple and straightforward. It saves quite a bit of time. You can copy it and use it in the future.

Thank you very much for this. But where did you get that big scary equation from? I have never seen it before.

5555 / (2/3)   =    5555 x  3/2 = 16665/2 =8332.5

Just substitiute   t = 14 into the equation

5 + 2.5 (sin (30 x 14)) = 7.165 meters

See answer previous post

First, subtract 5 from both sides of the equation to get

1.7 = 2.5 sin(30t)      Now divide both sides by 2.5

.68 = sin(30t)       now use the arcsin fxn to get

42.84 = 30t          Now divide both sides by 30

1.428 = t

Your next post gives more information  .....  t is in hours    1.428 hours     1 hour 25 minutes 40.8 seconds

A new car valued at $23,500 is to be leased for 3 years. The lessee has the option to purchase the car for $17,500 at the end of the leasing period. What monthly payments, with one payment in advance, are necessary to yield the lessor 14% compounded annually? Calculate the payments from the lessor’s point of view. Thanks for any help.

This financial calculation can be done in a number of ways. The easiest way to solve it is to use a TVM formula to calculate the payment directly:

Since they want monthly payments, we have to convert 14% comp. annually to comp. monthly, which comes to=13.1746223402/12=1.09788519502 per month.

The formula in question for this particular problem is:

-P*[(1-(1+R/100)^-N)/(R/100)]+FV*(1+(R/100))^-N-PV=0, Where R=Interest rate per period, N=number of periods, P=periodic payment, PV=Present value, FV=Future value.

By substituting in the above equation, we solve directly for P=payment.

-P*[(1-(1+.0109788519502)^-36)/(.0109788519502)]+17,500*(1+(.0109788519502))^-36-23,500=0

Using Wolfram/Alpha engine to expedite caculation, it gives P=$394.80, which is at the end of month:

We simply divide it by 1.0109788519502 to get =$390.51 for the beginning of the month.

P.S. I have calculated it in two other ways and they all agree.

Sorry for your confusion.....people often ask questions on this forum   like the cube root of 27 and ask it like:

sqrt3 (27)       I was doing the same thing   sqrt5 (32)  MEANS the 5th root of 32.      Thought that was clear to everyone....guess not.....

ElectricPavlov:

I see where the confusion is!. When you write this: sqrt5(.03125) = 1/2. It means you take the square root of 5 X .03125. What you want to write is this: The 5th root of .03125, which you can write as:(.03125)^(1/5), which will give you 1/2. Write 1/5 as 0.2, or: (.03125)^0.2=1/2. Try it on the calculator.

The GCD of this set is: 1 x 2 x 3 x 4 x 5=120. Because ALL are shared by the second and third set. 2 is shared directly with the second set, but indirectly with the third set, because it is embeded in 6 of the third set, since 6=2 x 3.

.......re-read it .....I said sqrt5(x)  is the 5th root of (x)     there is no sqrt(5) in the equation.....I do not have the ability to put the little 5 superscript in the sq root sign~!

Answer #3 above was a continuation of answer #1 after the questioner asked how I got my answer...Read that one too....

sqrt5(1/32) = sqrt5((1/2)^5)) = 1/2 !!!!

( 1/2)^5 = .03125        AND  sqrt5(.03125) = 1/2   !!!!

What is the problem YOU are having?????

ElectricPavlov:

This is your final answer in # 3 above:=  sqrt5( ( 1/2)^5 )  = 1/2. Now, let us evaluate it step by step:

Get rid of the inner brackets: ( 1/2)^5=0.03125. Now, you have this:sqrt(5) x 0.03125. Next, take the square root of 5=2.23606......... x 0.03125=0.069877.....etc. Does this last answer =1/2???. Do you see it?.

1*2=2

That is what I said......read my answer !   D'Oh!  

ElectricPavlov:

Sorry young man!!. But, you still didn't get it right!. This expression: 32^(-1/5) means: the 5th root of 32, which is =2. But because 5th root is negative, that means you take the RECIPROCAL of 5th root of 32, which is: 1/2.

Example: Find the Log of 125 to base 15=Log(125) / Log(15)=1.782948......, so that: 15^1.782948=~125.

sqrt(-1)=i

The probability of NOT spinning an even number is: 60%=60/100=.60

The GCD of the set S is: 3, 4, 5 from the first row, which it shares with second row, and also with the third row. Therefore the GCD of the set is: 3 x 4 x 5 =60.

Sorry for the unclarity:    sqrt5 means '5th root'   

so sqrt5 (x^5)  = x   right?

Then sqrt5(1/2 x  1/2 x 1/2 x 1/2 x 1/2)  =  sqrt5( ( 1/2)^5 )  = 1/2