All Answers 356096 Answers

Is that per year?

The percentage would be12.79% for $300 billion to grow to to $1 trillion in 10 years.

John Wallis (23 November 1616 – 28 October 1703) was an English mathematician who is given partial credit for the development of infinitesimal calculus. Between 1643 and 1689 he served as chief cryptographer for Parliament and, later, the royal court. He is also credited with introducing the symbol   ∞  for infinity. He similarly used 1/∞ for an infinitesimal. Asteroid31982 Johnwallis was named after him.

Solve for x:
(log(-4 x))/(log(5))-9 = -7

Add 9 to both sides:
(log(-4 x))/(log(5)) = 2

Multiply both sides by log(5):
log(-4 x) = 2 log(5)

2 log(5)  =  log(5^2)  =  log(25):
log(-4 x) = log(25)

Cancel logarithms by taking exp of both sides:
-4 x = 25

Divide both sides by -4:
Answer: |  x = -25/4

-9 + log₅ (-4x)   = -7     add 9 to both sides

log₅ (-4x)  = 2       this says that

5²   = -4x      divide both sides by -4

5² / - 4  = x    

- 25 /  4   = x

"Mode"  is defined as the value that occurs most frequently in a dataset.....for instance in the set

12, 13, 14, 14, 15, 16

14  is the mode

    0.0324*773100/1-(1+0.0324)^-60=25,048.29238......This is the answer to the way you have written.

Thank you! I understand now.

Sin(38)=Height/864

0.6156614 =H/864

H=864 x 0.6156614

H=~532 feet- Katie's kite height.

Sin(40) =H/725

0.6427876=H/725

H=0.6427876 x 725

H=~466 feet-Matt's kite height.

katie and mat are both flying kites on a breezy day. the string of katie's kite is extended 864 feet, and her kite makes a 38% angel of elevation with the ground. The string of Matt's kite is extended 725 fee, and his kite makes a 40% angel of elevation with the ground. determine the altitude of each triangle?

I'm assuming that  38% and 40%   are actually 38°  and 40°, respectively

Height of Kate's kite =  864*sin(38)  = about 531.9 ft

Height of Matt's kite = 725*sin(40)  = about 466.02 ft.

[10^10^100] x 1000 =10^10^100

(4.36)/(11.42) x 100=38.178633975481611208406304728546...........etc.

Press "2nd" key in the top left hand corner. You should see "atan", which the same as inverse Tan.

For an engineer 8/0 = infinity

Because 8/0.01 = 800

8/0.001 = 8000

8/0.0001 = 80,000

so.......

But for a mathematician...... They make everything way too difficult!

The first differentiation should be

2x + y + xy' - 2yy' = 0

the second and third term are a result from the (fg)'= f 'g + g'f rule

After this the rest is quite straightforward.

There is  a slight error in the end result

It should be:

y' = (2x+y)/(2y-x)

x^2+xy-y^2=4

2x + y + xy' - 2yy'  = 0

y' (x - 2y)  =  -2x - y

y'  =  - [2x + y] /  [ x - 2y]   

y'  = [2x + y] / [ 2y - x]  

Small operator error. Sorry!

Hello Guest!

is (3x square + 6)square equal to (x + 2) if not whats the right answer

(3x² + 6)² = x + 2 ?

9x⁴ + 36x² + 36 - x - 2 = 0

9x⁴ + 36x² - x + 34 = 0

with Solver : The equation has 4 complex solutions.

(3x² + 6)² ≠ (x + 2)

Greeting asinus :- )

  !

Division of any real number - except 0 -  by 0 is undefined....... 0/0  is known as  "indeterminate"

Solve for t:
(2 t+3)/2 = 5

Multiply both sides of (2 t+3)/2 = 5 by 2:
1 (2 t+3) = 2×5

(2 (2 t+3))/2 = 2/2×(2 t+3) = 2 t+3:
2 t+3 = 2×5

2×5  =  10:
2 t+3 = 10

Subtract 3 from both sides:
2 t+(3-3) = 10-3

3-3 = 0:
2 t = 10-3

10-3 = 7:
2 t = 7

Divide both sides of 2 t = 7 by 2:
(2 t)/2 = 7/2

2/2 = 1:
Answer: |  t = 7/2=3 1/2

'tis 42

Yes,

It is a straight line and it is not vertical so it is a function :)