<u>Answer-</u>
He needs to put $10345 in the account today, in order to get 15000 in five years.
<u>Solution-</u>
We know that,
Where,
A = future value of the investment with interest = 15000
P = principal investment amount
r = annual interest rate (decimal) = 7.5% = 0.075
n = number of times that interest is compounded per year = 4
t = the number of years the money is invested = 5
Putting the values,
The diagram is attached below
Beaker 1: The measurement line is between 32 and 33. There are 5 lines between 32 and 33. Making line is between third line and fourth line(between 6 and 8). So 32.7
Beaker 2: The measurement line is between 30 and 40. We can clearly see the measurement line at 32. So its 32
Beaker 3: The measurement line is between 32.7 and 32.8. We have 10 small lines inbetween them. Measurement line at 4. So its 32.74
(b) the amount of water in each of 3 beakers are not same because we can measure the difference. But they are close to each other.
Given that f(x) = x/(x - 3) and g(x) = 1/x and the application of <em>function</em> operators, f ° g (x) = 1/(1 - 3 · x) and the domain of the <em>resulting</em> function is any <em>real</em> number except x = 1/3.
<h3>How to analyze a composed function</h3>
Let be f and g functions. Composition is a <em>binary function</em> operation where the <em>variable</em> of the <em>former</em> function (f) is substituted by the <em>latter</em> function (g). If we know that f(x) = x/(x - 3) and g(x) = 1/x, then the <em>composed</em> function is:
The domain of the function is the set of x-values such that f ° g (x) exists. In the case of <em>rational</em> functions of the form p(x)/q(x), the domain is the set of x-values such that q(x) ≠ 0. Thus, the domain of f ° g (x) is .
To learn more on composed functions: brainly.com/question/12158468
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