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x-.15=100

x=100.15

x = 100/.85

Try it:  do the sum of the squares of the two smaller numbers equal the square of the larger number?

Find:  176² + 73²   =

Then find:  192²     =

And compare the two answers; if they are equal, these three numbers form a Pythagorean Triple; if they aren't equal, they do not form a Pythagorean Triple.

0/0 has no specific answer; therefore, it's usually called "undefined".

If each cookie cost $1.20 each, a dozen cookies will cost  12 x $1.20  =  $14.40.

If you can buy a dozen cookies form $8.50, you will save  $14.40 - $8.50  =  $5.90.

To find the amount of discount divide the amount saved by the original amount and turn that answer into a percentage.

$5.90 / $14.40  =  0.4097  (approximately)  =  40.97%  or  41%  (approximately)

f(x)  =  ( 2x^3/2 - 3x^-3/2 )² + 5

f(x)  =  5                                             ===>     ( 2x^3/2 - 3x^-3/2 )² + 5  =  5    

Subtract 5 from both sides                 ===>     ( 2x^3/2 - 3x^-3/2 )²   =  0

Find the square root of both sides     ===>     2x^3/2 - 3x^-3/2   =  0

Add  3x^-3/2  to both sides                   ===>     2x^3/2  =  3x^-3/2   

Change the right side                        ===>     2x^3/2  =  3 / x^3/2   

Multiply both sides by x^3/2                  ===>     2x³  =  3                     (add exponents 3/2 + 3/2  =  6/2  =  3)

Divide both sides by 2                        ===>     x³  =  3/2

Take the cube root                             ===>     x  =  1.447...

7x3=21

NO THANKS

Submit a question appropo for a MATH FORUM, and it will be answered.

the answeris 21

What is 12:45-1:00

Is it elapsed time you want? And if so, you should specify whether the hours are in AM or in PM.

If both of them are AM or PM, then the elapsed time is=15 minutes. But, if 12:45 is AM and 1:00 is PM, or vise versa, then the elapsed time is=12 hours and 15 minutes.

How did you get the answer though ?

 Thank you 

Simplify the following:
(2 x)/(3)+y/5-(x/6-(3 y)/(4))+(5 x)/(12)+2 y

Put each term in x/6-(3 y)/(4) over the common denominator 12: x/6-(3 y)/(4)  =  (2 x)/12-(9 y)/12:
(2 x)/(3)+y/5-(2 x)/12-(9 y)/12+(5 x)/(12)+2 y

(2 x)/12-(9 y)/12 = (2 x-9 y)/12:
(2 x)/(3)+y/5-(2 x-9 y)/12+(5 x)/(12)+2 y

Put each term in (2 x)/(3)+y/5-(2 x-9 y)/12+(5 x)/(12)+2 y over the common denominator 60: (2 x)/(3)+y/5-(2 x-9 y)/12+(5 x)/(12)+2 y  =  (40 x)/60+(12 y)/60+(5 (9 y-2 x))/60+(25 x)/60+(120 y)/60:
(40 x)/60+(12 y)/60+(5 (9 y-2 x))/60+(25 x)/60+(120 y)/60

(40 x)/60+(12 y)/60+(5 (9 y-2 x))/60+(25 x)/60+(120 y)/60 = (40 x+12 y+5 (9 y-2 x)+25 x+120 y)/60:
(40 x+12 y+5 (9 y-2 x)+25 x+120 y)/60

Grouping like terms, 40 x+12 y+5 (9 y-2 x)+25 x+120 y = 5 (9 y-2 x)+(12 y+120 y)+(40 x+25 x):
(5 (9 y-2 x)+(12 y+120 y)+(40 x+25 x))/60

12 y+120 y = 132 y:
(5 (9 y-2 x)+132 y+(40 x+25 x))/60

40 x+25 x = 65 x:
(5 (9 y-2 x)+132 y+65 x)/60

5 (9 y-2 x) = 45 y-10 x:
(45 y-10 x+132 y+65 x)/60

Grouping like terms, -10 x+45 y+132 y+65 x = (45 y+132 y)+(65 x-10 x):
((45 y+132 y)+(65 x-10 x))/60

45 y+132 y = 177 y:
(177 y+(65 x-10 x))/60

65 x-10 x = 55 x:
Answer: |  (177 y+55 x)/60

sqrt(([(3*4*5*6)-310]/2))+((5!)/12)-(15) = 0

The easiest way to tackle this interesting problem is to first convert all interest rates from continuous compound to monthly compound as follows:

3% comp. cont.=3.00375312695 comp. monthly.

4% ,,,,,,,,,,,,,,,,,, =4.00667408025 ,,,,,,,,,,,,,,,,,,,,,,,,,

5%,,,,,,,,,,,,,,,,,,,,=5.01043114934,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Next, we project the FV of the $1,000,0000 for the next 10 years at the above rates using this common TVM formula:FV=PV[1 + R]^N. After we do that for the above 3 terms and their respective interest rates, we get this FV for the $1,000,000=$1,521,961.56. From these two amounts and using the above TVM formula, we can easily find the averaged interest rate. We find that it comes to=4.20735858258 comp. monthly, which is equivalent to effective annual rate of=4.29%.

Now, will use this common TVM formula to find the monthly payment of the dealership:PMT=PV. R.{[1 + R]^N/ [1 + R]^N - 1}=PMT NEEDED TO PAY OFF A LOAN OF $1.

When we plug all the numbers into this formula, we find that the even monthly payments comes to=$10,223.36. And that is it.
 

Here's the graphs of both :

https://www.desmos.com/calculator/q4eq4dwjpo