2(x+2) > x+5
2x+4 > x+5
2x+4-x > x+5-x
x+4 > 5
x+4-4 > 5-4
x > 1
Answer:
7.7
Step-by-step explanation:
a ^2+b^2=c^2−2bccosA
l^2 = 5.9^2+7.1^2-2(5.9)(7.1)cos 72
<h3>
Answer: -a > -b</h3>
Explanation:
Let's go over an example.
We'll have a = 1 and b = 7 which makes a < b true. Feel free to pick your own favorite pair of numbers such that b is larger than 'a'.
The corresponding opposites are: -a = -1 and -b = -7
The relationship flips because the opposites of each number are flipped. So instead of saying -a < -b, we have -a > -b
Sure enough, -1 > -7 is a true statement. Use a number line to see this. I recommend a vertical number line.
In short, going from a < b to -a > -b means we flip the signs of each term, and we flip the inequality sign as well.
Answer: 2:3 and 12:18
Step-by-step explanation: Find the multiples of 6 and 9
The formula for the future value A, given annual interest rate r, number of years t, and deposit amount P can be written as
... A = P(1 +r/12)((1+r/12)^(12t) -1)/(r/12)
Filling in the given numbers, you have
... A = 200(1+.0275/12)((1+.0275/12)^(12·39) -1)/(.0275/12) ≈ 167,868.30
The appropriate choice is $167,868.30.
_____
The formula is the one for the sum of a geometric series. It can be useful to consider the last deposit made as the first term of the series.
