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Answer:
Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.
Step-by-step explanation:
Given John plans to invest $210,000 in two different funds. He projects that the moderately high risk investments should return, overtime 9% per year,while low risk investments should return about 4% per year.
He wants a supplemental income of$11,400 a year.
Let , he invested $x at 9% per year and $(210,000-x) at 4% per year.
p = principle , r = rate of interest and t = time
The interest earns at 9% per year=
The interest earns at 4% per year=
According to the problem,
Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.
Answer:
8. (-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)
9. f(g(x)) = 4x/(1+6x)
Step-by-step explanation:
8. For f(g(x)) to be defined, g(x) must be defined and f(g(x)) must be defined.
g(x) will be defined for all x≠0. f(g(x)) will be defined for g(x)≠4. Solving g(x)=4, we find the value of x is 1/3. (The answer choices give a clue.)
So, the domain of f(g(x)) is all x that is not 0 or 1/3. Only one answer choice makes those particular exclusions:
(-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)
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9. Substituting the definition of g(x) into the expression for f(x), we get ...