Lizabeth says that (-12)^3 equals a positive number because the product if two negative integers is a positive integer. Do you a
gree? Use what you know about exponential expressions to explain.
1 answer:
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Answer:
8022.
Step-by-step explanation:
Let x be the number of years after 2010.
We have been given a population of fish in a lake is 14000 in 2010. The population decreases 6% annually.
We can see that population of fish is the lake is decreasing exponentially as it is decreasing 6% annually.
Since we know that an exponential function is in form: , where,
a = Initial value,
b = For decrease or decay b is in form (1-r) where r represents decay rate in decimal form.
Let us convert our given decay rate in decimal form.
Upon substituting our given values in exponential form of function we will get the population of fish in the lake after x years as:
Let us find x by subtracting 2010 from 2019.
Upon substituting x=9 in our function we will get,
Therefore, the population of fish in 2019 will be 8022.
Answer:
The population will be 240,116
Step-by-step explanation:
Exponential growth can be represented by the expression:
where:
is the population at time (t)
is the initial value of the population
"r" is the annual rate of growth (written in decimal form)
and "t" is the time in years.
Therefore in this situation, P(16) is what we want to find [the population after 16 years]
the initial population is 110,000
the rate of growth is 0.05 [decimal form of 5%]
and t is 16 years.
Replacing all these in the given functional form gives: