Magnitude of an earthquake : M = log

Mathematics

1 answer:

Gnoma [55]3 years ago

5 0

Answer

Step-by-step explanation:

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Can someone pls help me with this question. Ill give brainliest!!

creativ13 [48]

Answer:

Keep plugging in the points and see the ones that work, for example, (-1,7)
$y=5x+12\\(7)=5(-1)+12\\7=7$ true, so select it
Keep doing that for the rest of them , some like (3,15) won't work so you just have to keep testing each point.

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2 years ago

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The price p in dollars and the quantity x sold of a certain product obey the demand equation -1/5x+100 (0≤ x ≤ 500)

olga nikolaevna [1]

Answer:

See below

Step-by-step explanation:

We have:

p = -1/5x + 100 = -0.2x + 100

a) The revenue is:

R = px
R = x( -0.2x + 100)
R= -0.2x² + 100x

b) x = 200, find R:

R = -0.2(200²) + 100(200) = 12000

c) This is a quadratic function and the maximum value is obtained at vertex.

x = -100/(-0.2*2) = 250 is the required quantity

d) The max revenue is obtained when -0.2x + 100 at max:

The maximum possible is p = 100 when x = 0

5 0

3 years ago

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Arlo invested $4000 in an account that earns 5.5% interest, compounded annually. The formula for compound interest is A(t)=P(1+i

USPshnik [31]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A=4000\left(1+\frac{0.055}{1}\right)^{1\cdot 4}\implies A=4000(1.055)^4\implies A\approx 4955.2986$