A quantity with an initial value of 8100 grows exponentially at a rate of 0.35% every 4

Mathematics

1 answer:

vazorg [7]2 years ago

6 0

Answer:

8133.38

Step-by-step explanation:

Given that :

Initial value, P = 8100

Growth rate = 0.35% every 4 decade = 0.35% /40 = 0.0000875 per year

Quantity after 47 years

Using the relation :

A = P*e^(rt)

Amount after t years

t = 47 years

A = 8100 * e^(0.0000875*47)

A = 8100 * e^0.0041125

A = 8100 * 1.0041209

A = 8133.3798

A = 8133.38 (nearest hundredth)

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kherson [118]

Answer:

Step-by-step explanation:

Hey there!

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5 0

2 years ago

The lengths of a particular snake are approximately normally distributed with a given mean mu = 15 in. and standard deviation si

Helga [31]

The percentage of the snakes is longer than 16.6 in. with a mean of 15 in. and a standard deviation of 0.8 in. is 2.275%.

<h3>What is a normal distribution?</h3>

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The lengths of a particular snake are approximately normally distributed with a given mean = 15 in. and standard deviation = 0.8 in.

Then the percentage of the snakes is longer than 16.6 in. will be

$z = \dfrac{ x - \mu }{ \sigma }\\\\z = \dfrac{16.6-15}{0.8}\\\\z = 2$