The exponential equation used to represent the population of the town is given by y = 5655(1.026)ˣ
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population remaining after x years.
The population grow at the rate of 2.6% annually. Hence:
b = 100% + 2.6% = 1.026
There are initially 5655 people, hence a = 5655.
The equation becomes:
y = 5655(1.026)ˣ
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Step-by-step explanation:
Formula for simple interest:
where
a = final amount
p = principal amount
r = interest rate per annum
t = time in years
Now, we are finding a, the final amount, and given,
p = $650
r = 5.5% (5.5/100)
t = 4 years
What you have to do is multiply 0.42 by 8.3 million, then add that number to 8.3 million and you will have the total number of college students.
1. Stretched vertically by 2 and down 3:
g(x) = 2f(x) -3 = 14x + 7
2. Reflected across x=0 and left 3. For the reflection, replace x by -x. For the translation, replace x by (x+3).
g(x) = f(-(x+3)) = 7(-(x+3)) +5 = -7x - 16
3. Down 2, right 3.
g(x) = f(x-3) -2 = 7x - 18
4. Stretched vertically by 3 and up 2:
g(x) = 3f(x) +2 = 21x + 17
