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Reika [66]
3 years ago
7

Michael deposited $500 in the bank.The bank pays michael interest compounded quarterly at the rate of 4 percent per year. How mu

ch money will michael hane in his account at the end of 9 months?
Mathematics
1 answer:
Andreyy893 years ago
6 0

Answer: the amount in the account would be $515.15

Step-by-step explanation:

Initial amount deposited into the account is $500 This means that the principal is

P = 500

It was compounded quarterly. This means that it was compounded four times in a year. So

n = 4

The rate at which the principal was compounded is 4%. So

r = 4/100 = 0.04

The money would be compounded for 9 months. So

t = 9 months = 9/12 = 0.75

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. Therefore

A = 500 (1+0.04/4)^ 4 × 0.75

A = 500(1.01)^3= $515.15

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(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.

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learn more about factor of a polynomial here :

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can i have brainliest pls tyyy :)))

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then, divide each term by the GCF

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next, put the two terms you get when dividing into the final form of the answer:

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