Answer:
What is your initial value? 2000
Does this function represent exponential growth or exponential decay? Exponential growth
What is the rate of growth or rate of decay? 5%
First, find the simplified ratio of the given ratio:
Number of pirates: 22
Number of ships: 2
Divide 22 with 2 to find the ratio: 22/2 = 11
For every ship there is, there will be 11 pirates.
Now, find the ratio for the other questions:
IF there are 5 ships: 5 x 11 = 55
If there are 5 ships, there will be 55 pirates.
If there are 11 ships: 11 x 11 = 121
If there are 11 ships, there will be 121 pirates.
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Answer:
an=1*2.5^(n-1)
=2.5^(n-1)
Step-by-step explanation:
Complete question below:
What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
Solution
Point (1, 1), (2, 2.5), (3, 6.25).
a=1
ar=2.5
ar^2=6.25
From ar and ar^2
r=6.25/2.5
=2.5
r=2.5
an=ar^(n-1)
Therefore, the explicit formula is
an=1*2.5^(n-1)
=2.5^(n-1)
The domain of the function is \[A \ge0\] If A is negative we get an imaginary number for the radius. This makes sense because the area of a circle cannot be negative.