Answer:
Step-by-step explanation:A.
Answer:
$12,088.55
Step-by-step explanation:
The formula for compounded interest is A = P(1+r/n)^n(t)
A= final amount
P = initial amount
r = rate of interest
n = amount of times it is compounded
t = time or amount of years
In this case n=4 because you are compounding quarterly which is 4 times a year and t will be 3 because you are looking for the amount after 3 years. r is .14 because 14% is .14 in decimal form.
To complete the square, you want to add a number that will allow the number to be factored into terms of the form (x + ?)^2
For x^2 + x + ?:
For (x + ?)(x + ?), we want both ? to add up the 1 (the number in front of x), and since both ? have to be the same number, ? must equal 1/2 (1/2 + 1/2 = 1).
Multiplying this out:
(x + 1/2)^2
(x + 1/2)<span>(x + 1/2)
</span>x^2 + x + 1/4
Answer: x^2 + x + 1/4
For x^2 + 6x + ?:
For (x + ?)(x + ?)<span>, we want both ? to add up the 6 (the number in front of x), and since both ? have to be the same number, ? must equal 3 (3 + 3 = 6). </span>
Multiplying this out:
(x + 3)^2
(x + 3)<span>(x + 3)
</span>x^2 + 6x + 9
Answer: <span>x^2 + 6x + 9</span>
1. The answer is A
2. The answer is 3 and 4