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anyanavicka [17]
3 years ago
14

The bird population in Louisiana is decreasing at a rate of 15% per day due to the oil spill. If there are 12,000 birds today, h

ow many will there be three weeks from now?
Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0
<h3>Answer: 395 birds</h3>

==============================================

Work Shown:

The formula to use is

A = P*(1+r)^x

where,

P = 12000 is the initial population

r = -0.15 represents the growth rate in decimal form; which is really a decay/decrease due to r being negative

x = 21 days have passed by (3 weeks = 3*7 = 21 days)

These values lead to...

A = P*(1+r)^x

A = 12000*(1+(-0.15))^21

A = 12000*(1-0.15)^21

A = 12000*(0.85)^21

A = 12000*0.03294560142183

A = 395.34721706196

A = 395

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MAXImum [283]

220

from 218 the 1 is in the tens column. this is the figure that needs to be rounded.

using the following rule

If the digit after the 1 is ≥ 5 then round 1 up to 2

If the digit after the 1 is < 5 then the 1 remains as 1

here the digit after the 1 is 8 so the 1 in the ten's column becomes 2 and the 8 is replaced by 0

218 ≈ 220 ( to the nearest ten )


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Levart [38]

we have been asked to find the sum of the series

\sum _{n=1}^5\left(\frac{1}{3}\right)^{n-1}

As we know that a geometric series has a constant ratio "r" and it is defined as

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The first term of the series is a_1=\left(\frac{1}{3}\right)^{1-1}=1

Geometric series sum formula is

S_n=a_1\frac{1-r^n}{1-r}

Plugin the values we get

S_5=1\cdot \frac{1-\left(\frac{1}{3}\right)^5}{1-\frac{1}{3}}

On simplification we get

S_5=\frac{121}{81}

Hence the sum of the given series is \frac{121}{81}

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The answer to your question is 151.6200 hope I helped
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If f(x)=x+4 and g(x)=x^2-1, what is g(f(x))?
pickupchik [31]

g(f(x)) means plug in f(x) for every "x" in g(x).

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