The percent increase of the second year was 85.71%
Step-by-step explanation:
The exponential growth formula is y=a(1+r)^x
where;
y=population after x years
a=original population
r=growth rate as a decimal
x=number of time interval that have passed
Let starting population be p
The first year increase in the population was 40% this means;
r=0.4 , x=1 and a=p thus the equation will be
y=p(1+0.4)^1 ⇒⇒y=1.4 p
In the second year the population of birds of an island became 7 times more than before which is 7p
7p= 7*1.4p= 9.8p
Increase will be;
9.8p-1.4p=8.4
% increase will be;
8.4/9.8 *100 =85.71%
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Percent increase: brainly.com/question/13882170
Keywords : population, birds, island,increase
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Answer:
x = 5±√31
Step-by-step explanation:
Step 1: Complete the Square
x² - 10x + 25 = 6 + 25
(x - 5)² = 31
Step 2: Solve for <em>x</em>
√(x - 5)² = √31
x - 5 = ±√31
x = 5±√31
And we have our answers!