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2 answers:
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Answer: y = -4/3x + 0. Yes, that point lies on the line
Step-by-step explanation:
Use this equation, Δy/Δx and this one, y = mx + b. Or, change in the y value divided by the change in the x value.
-4 + 8 = 4
3 - 6 = -3
The slope, m, is -4/3. Now solve for b by plugging in the slope.
. B is equal to 0
To see if that point lies on the function, plug it in the equation and see if it is true. Multiply -4 x -3 to get 12, divide by 3 to get 4, then add 0. The equation says that 4 = 4, which is infact true
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: 3, -3, 3i, -3i
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