Choose the surface area of a rectangular
1 answer:
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Answer: The graph of f(x) will eventually exceed the graph of g(x).
Step-by-step explanation:
Given Functions are, f(x)= 0.05x
And, g(x)=
Since, the y-intercept of function f(x) is (0,0)
While the y-intercept of g(x) is (0,1)
Therefore, Third and fourth options can not be correct.
Let and
Now, According to the below table we can say that for the different values of x, the value of f(x) is increasing while the values of g(x) is decreasing.
Therefore we can say that the growth of f(x) is greater than g(x) and eventually the graph of f(x) will exceed the graph of g(x).
Thus, Only Option Second is correct.
To solve this, we are going to use the compound interest formula: 
where
is the final amount after 
years
is the initial investment
is the interest rate in decimal form
is the number of times the interest is compounded per year
For the first 4 years we know that:
, 
, 
, and since the problem is not specifying how often the interest is communed, we are going to assume it is compounded annually; therefore, 
. Lest replace those values in our formula:
Now, for the next 6 years the intial investment will be the final amount from our previous step, so
. We also know that: 
, 
, and . Lets replace those values in our formula one more time:
We can conclude that Collin will have <span>£3691.41 in his account after 10 years.</span>
where
For the first 4 years we know that:
Now, for the next 6 years the intial investment will be the final amount from our previous step, so
We can conclude that Collin will have <span>£3691.41 in his account after 10 years.</span>