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Volgvan
1 year ago
15

The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the follow

ing week. What is the average change in the price of the stock over the three weeks? need to know right now ASAP!! –270 cents per week –90 cents per week –87 cents per week –30 cents per week
Mathematics
1 answer:
mel-nik [20]1 year ago
3 0

Hi there! Hopefully this helps!

----------------------------------------------------------------------------------------------------------

It <u>decreased by 30 cents</u> per week.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The average <em>rate of change</em> is calculated as:

the <u>ratio of the sum of the change</u> in the three weeks <u>divided by</u> <u>the number of weeks. (</u>The <em>number of weeks</em> being <u>3</u>)

 <em>Rate of change</em> = \frac{-60 -10 -20}{3}.

(-60 + -10 + -20 = -90). So, to <em>simplify</em> it:

\frac{-90}{3} = <u><em>-30</em></u>

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Incase you are confused:

Since the average <u>rate of change</u> is <em>negative</em>, this means that the <u>stock price</u> has <em>decreased</em>.

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55

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412.5 / 7.5 =55

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Answer:

(a) 3, 5 and 6

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The 43 that will receive the gel are to be selected randomly.

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Therefore for the experiment to be completely random,  3, 5, and 6 apply.

(b)

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2 years ago
Find the general solution of y''' + 6y'' + y' − 34y = 0 if it is known that y1 = e−4x cos(x) is one solution.
SashulF [63]

Answer:

Step-by-step explanation:

Given is a differential equation of III order,

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3 0
2 years ago
What is the binomial expansion of (x + 2)4? x4 + 4x3 + 6x2 + 4x + 1 8x3 + 24x2 + 32x x4 + 8x3 + 24x2 + 32x + 16 2x4 + 8x3 + 12x2
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<u>Answer-</u>

\boxed{\boxed{(x+2)^4=x^4+8x^3+24x^2+32x+16}}

<u>Solution-</u>

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Applying Binomial Theorem

\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i

Here,

a = x, b = 2 and n = 4

So,

\left(x+2\right)^4=\sum _{i=0}^4\binom{4}{i}x^{\left(4-i\right)}\cdot \:2^i

Expanding the summation

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=x^4+8x^3+24x^2+32x+16

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