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Answer:
2 bears in 2020.
Step-by-step explanation:
We have been given that a new bear population that begins with 150 bears in 2000 decreases at a rate of 20% per year.
We will use exponential decay formula to solve our given problem as:
, where,
y = Final quantity,
a = Initial value,
r = Decay rate in decimal form,
x = Time
Upon substituting our given values in above formula, we will get:
, where x corresponds to year 2000.
To find the population in 2020, we will substitute in our equation as:
Therefore, 2 bears are there predicted to be in 2020.
Since population is decreasing so population is best described as exponential decay.
Using a system of equations, it is found that £52 was originally shared.
<h3>What is a system of equations?</h3>A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: Angela's share.
- Variable y: Michelle's share.
- Variable z: Daniel's share.
Angela and Michelle shared some money in the ratio 4: 9, hence, considering t as the total:
.
Angela gave Daniel half her share.Michelle gave Daniel a third of her share. Daniel was given a total of £20, hence:
30t = 20 x 78
t = 20 x 78/30
t = £52.
More can be learned about a system of equations at brainly.com/question/24342899
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