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3 years ago

Mr. Brown's salary is $32,000 and it increases by 3% each year. What is the explicit rule for this sequence in simplified form?

Mathematics

1 answer:

katovenus [111]3 years ago

3 0

Answer:

This is the concept of geometric series. We are required to find the recursive formula for year n. Here we will use the formula;

nth=ar^(n-1)

where;

a=first term

r=common ratio

n=nth term

Thus

a=8.50

r=(8.85)/(8.50)=1.0412

thus the formula will be:

nth=8.50(1.0412)^n

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Step-by-step explanation:

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A simple random sample of 64 observations was taken from a large population. The population standard deviation is 120. The sampl

jeka94

Answer:

<h3>The standard error of the mean is <u>15</u></h3>

Step-by-step explanation:

Given that a simple random sample of 64 observations was taken from a large population.

Hence it can be written as n=64

The population standard deviation is 120.

It can be written as $\sigma_{\overline{X}}=120$

The sample mean was determined to be 320.

It can be written as $\overline{X}=\mu =320$

<h3>To find the standard error of the mean :</h3>

The formula for the standard error of the mean is given by

$\sigma_{\overline{X}}=\frac{\sigma}{\sqrt{n}}$

Now substitute the values in the formula we get

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3 years ago

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Answer:

246

Step-by-step explanation:

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HELPPPP!!!

Anuta_ua [19.1K]

Answer:

A = √29

Step-by-step explanation:

The short of it is that ...

A² = 2² + 5² = 29

A = √29

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<u>Amplitude</u>

If you expand the second form using the sum-of-angles formula, you get ...

Asin(ωt +φ) = Asin(ωt)cos(φ) +Acos(ωt)sin(φ)

Comparing this to the first form, you find ...

c₂ = 2 = Acos(φ)

c₁ = 5 = Asin(φ)

The Pythagorean identity can be invoked to simplify the sum of squares:

(Asin(φ))² + (Acos(φ))² = A²(sin(φ)² +cos(φ)²) = A²·1 = A²

In terms of c₁ and c₂, this is ...

(c₁)² +(c₂)² = A²

A = √((c₁)² +(c₂)²) . . . . . . . formula for amplitude

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<u>Phase Shift</u>

We know that tan(φ) = sin(φ)/cos(φ) = (Asin(φ))/(Acos(φ)) = 5/2, so ...

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* remember that c₁ is the coefficient of the cosine term, and c₂ is the coefficient of the sine term.

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