12) 2b+8a
13) 17y^2-22y
14) 9m^2n+7mn^2
15) 11y^2
16) 8x^2y
The simplest form is 3/12
Hope this helps.
Answer:
The Cinema is equidistant from the Theater and the Museum
Step-by-step explanation:
<em>Refer to attachment</em>
- As per the graph, the three buildings are located on same line, the Cinema (2, 1) is in the middle and the Cinema is equidistant from the Museum (-3,-1) and the Theater (7,3):
- 2 - (-3) = 5 and 7 - 2 = 5
<u>Correct answer choice:</u>
- The Cinema is equidistant from the Theater and the Museum
It will take 15 years for the population to quadruple
Step-by-step explanation:
The formula for continuously compounding rate is , where
- A is the future amount
- P is the initial amount
- r is the interest as a decimal
- t is the time in years
Assume that the initial population is P
∵ The initial population = P
∵ The growth rate = 9% ⇒ compounded continuously
∴ r = = 0.09
∵ The population will quadruple in t years
∴ A = 4P
- Substitute these values in the formula
∵
∴
- Divide both sides by P
∴
- Insert ㏑ to both sides
∴ ㏑(4) = ㏑( )
∵ ㏑( ) = n
∴ ㏑ (4) = 0.09 t
- Divide both sides by 0.09
∴ t = 15.4
∴ t = 15 years to the nearest whole number
It will take 15 years for the population to quadruple
Learn more:
You can learn more about the logarithmic function in brainly.com/question/11921476
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