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3 years ago

Find the simple interest on RS.2500 for 2 years and 6 months at 3% per annum.Also find the amount.

Mathematics

1 answer:

meriva3 years ago

6 0

187.50

simple interest (I ) = PRT

where P is the Principle ( amount deposited ), R is the rate of interest and T the time in years

here P = 2500, R = 3% and T = 2.5 years

I = 2500 × $\frac{3}{100}$ × 2.5

= 25 × 3 × 2.5 = 187.50

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Since 1851, exactly 119 hurricanes have hit Florida (this includes the years 1851 and 2019),—only direct hits by hurricanes are

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Answer:

There is a 0.58% probability of Florida being struck by four or more hurricanes in the same year.

Step-by-step explanation:

Since we have only the mean during the interval, we can solve this problem using the Poisson probability distribution.

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Poisson probability distribution

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$e = 2.71828$ is the Euler number

$\mu$ is the mean in the given time interval.

In this problem, we have that:

Since 1851, exactly 119 hurricanes have hit Florida (this includes the years 1851 and 2019). Counting 1851 and 2019, there are 169 years in this interval. This means that $\mu = \frac{119}{169} = 0.704$

If the probability of hurricane strikes has remained the same since 1851, what is the probability of Florida being struck by four or more hurricanes in the same year?

This is $P(X \geq 4)$ .

Either Florida is struck by less than four hurricanes in a given year, or it is struck by 4 or more. The sum of these probabilities is decimal 1.

$P(X < 4) + P(X \geq 4) = 1$

$P(X \geq 4) = 1 - P(X < 4)$

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$P(X = 2) = \frac{e^{-0.704}*(0.704)^{2}}{(2)!} = 0.1226$

$P(X = 3) = \frac{e^{-0.704}*(0.704)^{3}}{(3)!} = 0.0288$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.4946 + 0.3482 + 0.1226 + 0.0288 = 0.9942$

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$P(X \geq 4) = 1 - P(X < 4) = 1 - 0.9942 = 0.0058$

There is a 0.58% probability of Florida being struck by four or more hurricanes in the same year.

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blagie [28]

Question

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c) 45x+18<39x+30

Step-by-step explanation:

Step 1

We have to find the Algebraic expressions for the cable companies

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= 45x + 18

Cable B charges $39 a month for cable plus a $30 fee for installation.

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Hence, this is represented as:

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