Answer:
Step-by-step explanation:
Move all terms to one side
4x^2 + 4x + 5 = 0
Plug into quadratic formula
x = (-4 <u>+</u>
) / 2(4)
= (-4 <u>+</u>
)/8
At this point, there are no real answers. The roots to this equation are complex.
x = (-4 <u>+</u> 8i)/8
= (-1 <u>+</u> 2i)/2
The formula required is:

where A is the amount after t years of the principal P invested at an annual interest rate r (expressed as a decimal fraction) compounded n times per year.
Plugging in the given values, we get:

The final amount is $22,096.17
Answer:
Part (a)
36
Part (b)
Find the filled table in the attachment
Part (c)
1/36
Step-by-step explanation:
The total number of possible outcomes using the multiplicative rule is given by;
6*6 = 36.
There are 6 possible outcomes in rolling each die, we simply find the product.
The probability of rolling double sixes is given by;
pr(6 and 6) = pr(6) * pr(6) = 1/6 * 1/6 = 1/36
The probability of rolling double sixes represents independent events and thus we employ the multiplicative rule of probability.