The asymptote and the y-intercept of the function is asymptote: y = 2
y-intercept: (0,8) , Option A is the answer.
<h3>What is an Asymptote ?</h3>
Asymptote is a straight line that approaches the curve but does not meet even at infinite distance.
It is given that f(x) = 6 (0.5)ˣ +2
The horizontal asymptote is at y = c
y = 2
From the curve it can be seen that
The intercept of y axis is determined when x = 0
then f(0) = 6 * (0.5)⁰ + 2
f(0) = 8
Therefore the y intercept is at (0,8)
Therefore Option A is the right answer.
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It is 1082.
I hope it helps, you can do more on a calculator. :)))
The required function is:
Option 3: 
Step-by-step explanation:
The initial value and rate is used to write exponential function
Here
Given
Initial value = 37
Rate = r = 5%
When the rate is 5%, the next year the quantity will be 1+0.05 = 1.05 time of the current quantity.
So,
The function can be written as:

For initial value, put t=0

Hence,
The required function is:
Option 3: 
Keywords: Functions, exponential functions
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Answer:
x = 7
Step-by-step explanation:
We are told one quarter of x is equal to 7 , then the equation is
x = 7 ( multiply both sides by 4 to clear the fraction )
x = 28