We have been given that miss Roxanne is 25 years old and she puts 1800 dollars per quarter that returns 6% interest.
(a) We need to figure out how much will be in the account when she turns 65 years old. When she turns 65 years old, the number of years during which she made deposits would be 40. Since she made quarterly deposits. She made a total of 160 deposits. We can now figure out the final amount in the account using future value of annuity formula.
We have the values P=1800, r=6/4% = 1.5% = 0.015 and n=160.
Therefore, the amount in the account would be:
Therefore, miss Roxanne will be 1179415.39 dollars in her account when she turns 65 years old.
(b) In this part we need to figure out the total amount she deposited.
The total amount she deposited would be .
(c) We can find the interest earned by subtracting her contribution from the answer of part (a).
Interest earned =
The numeric value of the composite function at x = 2 is given as follows:
(f ∘ g)(2) = 33.
<h3>Composite function</h3>
The composite function of f(x) and g(x) is given by the rule presented as follows:
(f ∘ g)(x) = f(g(x)).
It means that the output of the inside function serves as the input for the outside function.
In the context of this problem, the functions are given as follows:
The composite function is:
(f ∘ g)(x) = f(-2x) = (-2x)² - 3(-2x) + 5 = 4x² + 6x + 5.
At x = 2, the numeric value is given as follows:
(f ∘ g)(2) = 4(2)² + 6(2) + 5 = 33.
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You’d plug in the 0.6 for x. so you’d multiple 0.6 times 2.5 then you’d get 1.5 then you’d add 1.5 plus 5.8 and get 7.3
Answer:
-x-3 = y
Step-by-step explanation: