Answer:
There was an 11% increase.
Step-by-step explanation:
The formula to find a percent increase is this: (original amount - new amount / original amount) * 100
If you fill in the formula, you get this:
(164,000 - 182,040 / 164,000) * 100
Solve:
(-18,040 / 164,000) * 100 ---> If the number being divided is negative, find the absolute value.
(18,040 / 164,000) * 100 =
0.11 * 100
11%
First you raise the expressions in the parentheses to their powers. Then multiply the two expressions together. You get to see multiplying exponents (raising a power to a power) and adding exponents (multiplying same bases).
Step-by-step explanation:
We need to use the binomial theorem/Pascal's triangle here.
(a+b)^5 = (5 choose 0)a^5 + (5 choose 1)a^4*b + (5 choose 2)a^3*b^2 + (5 choose 3)a^2*b^3 + (5 choose 4)a*b^4 + (5 choose 5)b^5.
5 choose 0 = 1
5 choose 1 = 5
5 choose 2 = 10
5 choose 3 = 10
5 choose 4 = 5
5 choose 5 = 1
And 1, 5, 10, 10, 5, 1, is the (5+1) = 6th row of pascal's triangle.
Therefore we get
g^5 + 5g^4*2 + 10g^3*2^2 + 10g^2*2^3 + 5g*2^4 + 2^5
which is
g^4 + 10g^4 + 40g^3 + 80g^2 + 80g + 32
Or, you could do the slow way, by just doing (g+2)(g+2)(g+2)(g+2)(g+2)
Answer:
(6, 2)
Step-by-step explanation:
K is at (-2, -3)
<u>Using the transformation equation given for this problem:</u>
(x + 8, y + 5)
(-2 + 8, -3 + 5)
(6, 2)
The answer is the third option.
