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The value of is
Explanation:
Given that the functions and
We need to determine the value of
The value of can be determined by substituting the value of
and
and simplifying the terms.
Thus, let us assign in the function
, we have,
Now, let us assign in the function
, we get,
Grouping the like terms, we have,
Adding the like terms, we get,
Hence, the value of is
Answer:
The population of the city in 2020 is 3,839,832
Step-by-step explanation:
Given:
Population at 2000 = 315,000
Rate at which the population increases = 2%
To Find:
The Population in the city after 2020 = ?
Solution:
The population in the city after 2020 can be found by using Exponential growth function.
Exponential growth occurs when a quantity increases by the same factor
Exponential growth function is
Where
y is the final amount
a is the initial amount
r is the rate of increase
t is the time period.
Now substituting the values ,
In 2020 i.e., after 10 years
y = 3,839,832.42