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Whitepunk [10]
2 years ago
9

Place the following fractions and decimals in order from least to greatest:

Mathematics
2 answers:
musickatia [10]2 years ago
8 0

Answer: 12/5, 3.09, 3 and 1/6, 3 and 1/3

Step-by-step explanation: 12/5 is only equal to 2.4, so thats smallest. 3.09 is smaller compared to fractions.

tip: the bigger the bottom number on a fraction is, the smaller the number is. ex: 1/5 is actually a bigger number than 1/10

maks197457 [2]2 years ago
5 0

Answer:

.09,1/6,1/3,2/5

Step-by-step explanation:

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If there's a three day rain forecast for the probability of rain , 70% Friday, 70% Saturday, 70% Sunday A) work out the probabil
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Answer:

a) 34.3%

b) 49%

Step-by-step explanation:

In order to find the probability of a sequence of events, we need to multiply each individual probability by the others in decimal form. Therefore, we need to turn these probabilities into decimal form by dividing them by 100 like so..

70% / 100 = 0.70

Now we multiply all of them together and multiply the product by 100 to get the percentage.

0.70 * 0.70 * 0.70 = 0.343

0.343 * 100 = 34.3%

34.3% is the probability of it raining on all three days. Now to find the probability of it raining on two consecutive days we do the same but multiply only 2 probabilities

0.70 * 0.70 = 0.49

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3 years ago
A radioactive compound with mass 470 grams decays at a rate of 3% per hour. Which
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After 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.

<h3>What is exponential decay?</h3>

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We know the decay can be as:

\rm C = a(1-r)^t

We have:

a = 470 grams

r = 3% = 0.03

t = 6 hours

\rm C = 470(1-0.03)^6

C = 391.49 grams

Thus, after 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.

Learn more about the exponential decay here:

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How long does it take for an investment to quadruple in value if it is invested at 11% compounded
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Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:

100 * (1+1.07)x = 400

Then we will take 400 and divide it by 100 getting:

1.07X = 4

Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.

2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

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We have the following:

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Then we will apply natural log to both sides of the equations and get the following:

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Since e is the base of ln(x) the equation simplifies to:

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Using the calculator to find ln(4) we are getting:

1.38629 = 0.055t

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t = 1.38629/0.055

t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

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