Answer:
It will take 34.33
Step-by-step explanation:
* Lets talk about the compound continuous growing
- Compound continuous growing can be calculated using the formula:
# A = the future value
# P = the initial amount
# r = the growing rate in decimal
# t = the time
* Lets solve the problem
- The population of a particular country is growing at 3.2 %
compounded continuously
∴ r = 3.2/100 = 0.032
- We need to find how long will it take the population to triple
∵ The initial population is P
∴ A = 3P
∵
∴ 
- Divide both sides by P
∴ 
- Insert ㏑ for both sides
∴ 
- Remember 
∴ ㏑(3) = 0.032t
- Divide both sides by 0.032
∴ t = ㏑(3)/0.032 = 34.33
* It will take 34.33
Answer:
A rectangle
Step-by-step explanation:
Answer: y = -1, y = 6 (choice D)
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Work Shown:
y - (6/y) = 5
y*(y - (6/y)) = y*5 <<--- see note 1 below
y^2 - 6 = 5y
y^2 - 5y - 6 = 0
(y+1)(y-6) = 0 <<--- see note 2 below
y+1 = 0 or y-6 = 0
y = -1 or y = 6 which are the two answers
note 1: I multiplied both sides by y to clear out the fraction (the LCD is y)
note 2: I factored the left side by asking myself "what two numbers multiply to -6 and add to +5?" the answer to that question is +1 and -6 which helps lead to the factorization. An alternative route instead factoring is to use the quadratic formula
Area = base (height) 1/2
so you plug your numbers into the equation and solve
42 = 6(x) 1/2
42 = 3(x)
divide each side by 3
14 = x
