Answer:
20,000 because I used my head
(x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15 as there is no remaider.
<h3>What is a factor of a polynomial?</h3>
We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given a polynomial function f(x) = x³ - x² - 17x -15.
If (x - 5) is it's factor then f(5) = 0.
∴ f(x) = x³ - x² - 17x -15.
f(5) = 5³ - 5² - 17(5) - 15.
f(5) = 125 - 25 - 85 - 15.
f(5) = 0.
So, the remainder is zero hence (x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15.
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Answer:
The value of the annuity is $326,852.3766.
Step-by-step explanation:
Here is the required formula to find the present value of annuity:
We can find the present value of annuity:
Here:
P = $50,000
n = represents the number of number of periods
r = 0.11
PV = $326,852.3766
The value of the annuity is $326,852.3766 i.e. PV = $326,852.3766.
Keywords: discount rate, present value of annuity
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