Answer:
The 4 t h term is f(4) = 143
Step-by-step explanation:
<em>Explanation</em>:-
Given function f(1) = -4
Given 'nth' term is f(n) = -3f(n-1) +5
Put n =2 <em> f(2) = -3 f(2-1) +5</em>
= -3 f(1) +5
= -3 (-4) +5
= 12 +5
f(2) = 17
put n= 3
f(n) = -3f(n-1) +5
<em> f(3) = -3 f(3-1) +5</em>
= -3f(2) +5
= -3(17) +5
= -51+5
f(3) = -46
Put n=4
f(n) = -3f(n-1) +5
<em> f(4) = -3f(4-1) +5</em>
<em> f(4) = -3f(3)+5</em>
f(4) = -3(-46)+5
f(4) = 138 +5
f(4) = 143
<u><em>Final answer</em></u>:-
<em>The 4 t h term is f(4) = 143</em>
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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A is the answer!! Hope it helps
Answer:
The slope of the line = m = 2
Step-by-step explanation:
Given
The points
To determine:
The slope of this graph
Determining the slope between (0, 0) and (1, 2)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [2 - 0] / [1 - 0]
= 2 / 1
Thus, the slope of the line = m = 2
Hey there!!
Okay here are the steps you can follow!
9 11/12 ----> improper fraction ----> 119/12
2 8/11 ----> improper fraction ----> 30/11
119/12 - 30/11
(119/12 - 30/11) * 132
11(119) - 12(30)
1309 - 360
<u>949</u>
