Plug the numbers into the exponential growth formula:
Now work backwards to get the answer:
1)Divide 120150 by 60100 to get 1.998668885
2) Find the 11th root of ANS:
3) Minus 1 from your answer to give 0.064976629
4)Multiply your answer by 100 to give you the rate of x%, which is 6.5 to 1d.p
x=6.5 (1 d.p.)
Btw, this answer also works if you plug it back into the equation
X = -b +- sqrt(b^2 -4*a*c)/2a
x = (-10 +- sqrt(10^2 -4*3*-5) )/6
x = (-10 +- sqrt (100 + 60) )/6
x = (-10 +- sqrt (160) )/6
x= (-10 +- 4sqrt10)/6
x = (-5 +- 2sqrt10)/3
x = (1 +- sqrt(1-4*2*6))/4
x= (1+-sqrt(1-48))/4
x = (1 +- sqrt(-47))/4
x = (1 +- i* sqrt(47))/4
x = (-2 +- sqrt(2^2-4*5*5))/10
x = (-2 +- sqrt(4-100))/10
x =(-2+- sqrt (-96))/10
x = (-2 +- 4i sqrt6))/10
x = (-1 +- 2i sqrt6))/5
Answer:
P = 0.0909
Step-by-step explanation:
To know the number of ways or combinations in which we can select x elements from a group of n elements, we can use the following equation:
So, if you sat down at your computer and randomly loaded 4 of the 12 problems, there are 495 different possibilities and it is calculated as:
Then, from 495 different possibilities, there are 45 possibilities that both this problem and Richard Rusczyk's problem were among the four you loaded. This 45 possibilities are calculated as:
Because you need to select: this problem and there is only one, the problem that Richard Rusczyk wrote and there is only one, and 2 problems from the other 10.
Finally, the probability that both this problem and Richard Rusczyk's problem were among the four you loaded is equal to:
Answer:
105.82 in
Step-by-step explanation:
Multiply 14.3 and 7.4