<h3>
Answer:</h3>
- A
- B
<h3>
Step-by-step explanation:</h3>
1. A decrease of 3.8% is equivalent to a multiplier fraction of -0.038. The only answer choice that has such a multiplier is A.
In an instance such as this, the "rate" is usually some (fractional) change in some period of time. Since the exponent must be unitless, the rate is effectively (some fraction) "per year" so that multiplying by "t" years cancels the units and results in a pure number.
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<em>Comment on the exponential</em>
If the actual change were -3.8% per year, the exponential term would look like (1 - 0.038)^t = 0.962^t. By writing it as e^(-0.038t), the decrease is effectively compounded continuously. As a result, over a year's time, the decrease is actually about 3.73%, not 3.8%.
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2. If ║x/2║ is a magnitude function, answer choices B and D are equivalent. Thus, we must assume it is a "greatest integer" function. Then the number of desserts prepared will be ║x/2║, and the corresponding revenue will be 1.2║x/2║. Since x is in minutes, 2 to 4 hours will be 120–240 minutes. The appropriate choice is B.
Answer
Find out how much money did she start with.
To proof
let us assume that the money she had be x.
As given
woman spent two thirds of her money
Money she had after spent two thirds of her money = Total money - money spent
As given she lost two thirds the remainder
we get
Money she had after lost two thirds the remainder = Money she had after spent two thirds of her money - she lost two thirds the remainder
As given
she had $4 left
thus
x = $36
she start with $36.
Hence proved
Answer:
-2/3, -0.6, 0.2, 1/2, 5/8
Step-by-step explanation:
What you do is you have to make them into decimals.
-0.6 and 0.2 are already in decimals.
-2/3 as a decimal is -0.667
1/2 as a decimal is 0.5
5/8 as a decimal is 0.625
-2/3, -0.6, 0.2, 1/2, 5/8 is your answer.
Answer:
4.5 ft
Step-by-step explanation:
11.25/2.5=4.5 so you can buy 4.5 feet
hope this helps
Answer:
Merton will have about 6,000 more people than Hapville
Step-by-step explanation:
Merton
y = 12,000(1.04)^(30)
y = 12,000(3.24339)
y = 38,920.77012
Hapeville
y = 18,000 + (30 x 500)
y= 18,000 + 15,000
y = 33, 000
Merton - Hapeville
38,920.77012 - 33,000 = 5920.77012
Therefore Merton will have about 6,000 more people than Hapville
