Answer:
n = 54
Step-by-step explanation:

Cross products,
2 * n = 9 *12
2n = 108
Divide both sides by 2

n = 54
Answer:

Step-by-step explanation:
* Lets explain how to solve the problem
- The rule of expand the binomial is:

∵ The binomial is 
∴ a = 10k , b = -m and n = 5
∴ 
∵ 5C1 = 5
∵ 5C2 = 10
∵ 5C3 = 10
∵ 5C4 = 5
∵ 5C5 = 1
∴ 
∴ 
Answer:
Initial amount is 523 grams
Amount after 100 years is 52 grams
Step-by-step explanation:
General exponential function for radioactive substances is given by
A(t) = Ao(1/2)^t/t1/2
Where,
A(t) is the amount remaining after t years
Ao is the initial amount of the radioactive substance
t is the number of years required for the radioactive substance to decay to A
t1/2 is the half-life of the radioactive substance
Comparing A(t) = 523(1/2)^t/30 with the general exponential function
Initial amount (Ao) = 523 grams
A(t) = 523(1/2)^t/30
t = 100
A(100) = 523(1/2)^100/30 = 523×0.5^3.333 = 523×0.0992 = 51.8816 = 52 grams (to the nearest gram)
Answer:
43
Step-by-step explanation:
That is the answer