Answer:
Explanation:
Using the PEMDAS rule:
P = parentheses
E = exponent
M = multiplication
D = division
A = Addition
S = subtraction
Step 1: 6 + 4 x 3 - 10/5
Step 2: 6 + 12 - 2
Step 3: 18 - 2
Step 4: 16
The first one
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Answer:
Input - Output
2 - $290
12 - $690
24 - $1170
Step-by-step explanation:
Cost after n months:
The cost after n months is given by the following function:
After 2 months:
This is C(2). So
After 12 months:
This is C(12). So
After 24 months:
This is C(24). So
Table:
Input - Output
2 - $290
12 - $690
24 - $1170
<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%.
_____
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.
