<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:
4
Step-by-step explanation:
If she got a 90% on her test, and the test was 40 questions long, we need to do a bit of division and multiplication.
We have to divide 40 by 100, as percentages are out of 100.
So now we have 0.4.
Now we multiply this by 90.
36. She got 36 answers correct out of 40, which means she got four wrong.
It all depends where you start from, and what route you take.
For me, if I take the shortest possible route, then it's 3,956 miles to London
and 9,809 miles to Jakarta. So for me, Jakarta is 5,853 miles farther.
But if you're starting from, say, Singapore, then London is 6,192 miles
farther away than Jakarta.
Ok so the best way to solve this problem is to simplify it as small as possible so first with the given equation 6(x+7)+3x you need to use the distributive property on 6(x+7)
This should get you 6x + 42
Then you have to add everything with like terms (or everything with the variable x) So add together 6x + 3x and that should get you 9x
So now you are left with
9x + 42 which is C
Hope this helps :D
Answer:
Step-by-step explanation:
Divide both sides by 5.3 and you get d = 8. You can use a calculator for this or just do division by hand.
