Answer: Exponential function: 
Step-by-step explanation:
Exponential function: 
, a = initial value , x= time, b= growth factor , b= 1+r , where r=rate of growth.
Given: Initial population = a= 12,000,
rate of growth = r= 5% = 0.05
Then, b= 1+r= 1+ 0.05 = 1.05
Substitute value of a and b in (i), we get
Hence, The required exponential function: , where x= time.
The probability of getting the same number of heads and tails is3/8
Answer:
The answer is J = -42
Step-by-step explanation:
if j/7 = -6
Then J = -6 ×7
J = -42
Answer: k = 200/3
Step-by-step explanation:
If a variable, a varies directly with a variable, c, it means that as a increases, c increases and as a decreases, c decreases.
Also, If a variable, a varies inversely with a variable, b, it means that as a increases, b decreases and as a decreases, c increases.
The variable c varies directly with a and inversely with b. We would introduce a constant of variation, k. Therefore
a = kc/b
If c = 3/20 when a = 2 and b =5, then
2 = (k × 3/20)/5 = 3k/100
Cross multiplying, it becomes
3k = 100 × 2 = 200
k = 200/3
