A population of butterflies decreases exponentially at a rate of 18.3% per year.
1 answer:
The population of butterflies decreases exponentially at a rate of 18.3% per year which equal to 18.3% per 12 month. The exponent function will look like:
an=a0(1+r)^t
If you want to convert year into the month, it is like convert t into 12 t. The calculation would be:
a0(1+r1)^t = a0(1+r2)^12t
(1-0.183)^1 = (1+r2)^12
(0.817) = (1+r2)^12
![\sqrt[12]{0.817}](https://tex.z-dn.net/?f=%20%5Csqrt%5B12%5D%7B0.817%7D%20)
= (1+r2)^(12/12)
1+r2= 0.983298
r2= 0.98329-1= 0.01671= <span>1.67</span>%
an=a0(1+r)^t
If you want to convert year into the month, it is like convert t into 12 t. The calculation would be:
a0(1+r1)^t = a0(1+r2)^12t
(1-0.183)^1 = (1+r2)^12
(0.817) = (1+r2)^12
1+r2= 0.983298
r2= 0.98329-1= 0.01671= <span>1.67</span>%
You might be interested in
The given sequence is
Write the first 4 terms.
When n=1, obtain
a₁ = 2
When n=2, obtain
a₂ = -4a₁ + 2
= -4(2) + 2 = -8 + 2
= -6
When n=3, obtain
a₃ = -4a₂ + 2
= -4(-6) + 2 = 24 + 2
= 26
When n=4, obtain
a₄ = -4a₃ + 2
= -4(26) + 2 = -104 + 2
= -102
Answer: a₄ = -102
Write the first 4 terms.
When n=1, obtain
a₁ = 2
When n=2, obtain
a₂ = -4a₁ + 2
= -4(2) + 2 = -8 + 2
= -6
When n=3, obtain
a₃ = -4a₂ + 2
= -4(-6) + 2 = 24 + 2
= 26
When n=4, obtain
a₄ = -4a₃ + 2
= -4(26) + 2 = -104 + 2
= -102
Answer: a₄ = -102
Answer:
Step-by-step explanation:
Given
Solving (a): The possible coordinates
We have:
This gives:
<em>(-2,8) is a point on the grid</em>
This gives:
<em>(7,5) is a point on the grid</em>
This gives:
<em>(-5,5) is a not point on the grid</em>
<em></em>
This gives:
<em>(1,3) is a not point on the grid</em>
This gives:
(1,7) is a point on the grid
So, we plot the following on the grid
See attachment
