Answer:
216
Step-by-step explanation:
You are rolling three die three times
a die has six sides
to obtain the sample space
we would have to multiply 6 x 6 x 6
which could account for the three roles which would be equivalent to the sample space
6^3
Answer:
Answer: The 4 consecutive odd integers are 15, 17, 19, 21.
In order to solve these sort of problems, we can set up 2 equations from the 2 statements.

We can subsitute the value of f, our first equation, into the second equation and solve like this:

Then we put the the son's age, 20, back into one of our equations and solve for the other value.

Thus, the father is 45 years old and the son is 20 years old.
Answer:
After 12 years the investment will be worth $5145.
Step-by-step explanation:
The formula used for compounded interest is:
A = P(1+r/n)^nt
where,
A = future value
P = Principal Amount
r = interest rate
n = no of times interest is compounded
t = time
In the question given:
A=?
P = $2100
r = 7.75% or 0.0775
n = 1
t= 12
A= 2100*(1+0.0775/1)^1*12
A= 2100 *(1+0.0775)^12
A= 2100 *(1.0775)^12
A= 2100 * 2.45
A= 5145
So, after 12 years the investment will be worth $5145.
2x^2 + 14x = -12
Step 1: Subtract -12 from both sides.
2x^2 + 14x - (-12) = -12 - (-12)
2x^2 + 14x + 12 = 0
Step 2: Factor the left side of the equation.
2(x + 1)(x + 6) = 0
Step 3: Set Factors equal to 0.
x + 1 = 0 or x + 6 = 0
x = -1 or x = -6
Answer:
x = -1 or x = -6
Hope this helps. : )