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KengaRu [80]
3 years ago
11

Please Help

Mathematics
2 answers:
diamong [38]3 years ago
7 0

Answer:

the correct answer is -0.5%

Step-by-step explanation:

just took the test.

elena-14-01-66 [18.8K]3 years ago
4 0

If the rate of decay is 6% per year, that means the motorcycle retains 93% of its value every year. Because there are 12 months in a year, you can use the following equation: 
 x^12 = 0.94, 
 where x = the rate of decay each month, 12 = the number of months, and 0.94 = the retained value each year. Next, set a logarithmic function on each side as such: 
 LOG(x^12) = LOG(0.94) 
 When applying log functions, exponentials (like the 12 in the equation) are moved outside of the function like so: 
 LOG(x^12) = 12(LOG(x)) 
 Therefore, 
 12(LOG(x)) = LOG(0.94) = -0.0268721464 
 When you divide both sides by 12, the equation becomes 
 LOG(x) = -0.00223934553 
 Finally, remove the LOG from the left side by applying both sides of the each by 10^() as such: 
 10^(LOG(X)) = 10^(-0.00223934553)
 X = 0.994856987 
 Therefore, the motorcycle retains that 0.994856987 of its value every year. 
 1 - 0.994856987 = 0.005143 
 Expressed as a percentage, this value is 0.5143013%
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VikaD [51]
Memorize the definition of standard deviation: the sd is the square root of the average of the squared deviations of the mean. Wow. Let's do it.

Step 1. First we need the mean. That's easy. Add them up and divide by the count. Check if you get 16.88/5 = 2.81333.

Step 2. Now we're going to subtract this from each of the values, and square the result. Don't worry about negative signs, the squaring will get rid of those. Example for the first number:

(1 - 2.813)^2 = 3.29

The list of numbers I get is (rounded, in reality round as little as possible):

3.29, 2.60, 1.41, 2.35, 1.66, 6.18

Step 3: Add them all up. I get 17.49. 
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Step 5: Take the square root from this result. SQRT(2.91) = 1.707305

TIP: Use excel to do all these steps, then run the set of numbers through Excel's built-in sd function (called  STDEV.P) and see that you get the same result!
3 0
3 years ago
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Pavlova-9 [17]

Answer:

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Step-by-step explanation:

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drek231 [11]

Answer:

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Step-by-step explanation:

First, write out the equation as you have it:

58-10x\leq20+9x

Then, add 10x to both sides:

58-10x+10x\leq20+9x+10x\\58\leq20+19x

Next, subtract 20 from both sides:

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Finally, divide both sides by 19:

\frac{38}{19}\leq\frac{19x}{19}\\2\leq x

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x\geq 2

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