−4x − 32 + 25 ≤ −2 + 1x − 50
−4x − 7 ≤ 1x − 52
−5x ≤ −45
x ≤9
What mistake did Andrew make in solving the inequality?
For this case we observe that we have the following inequality:
-4 (x + 8) + 25 ≤ -2 + 1 (x - 50)
The first step is the distributive property on both sides of the inequality:
-4x - 32 + 25 ≤ -2 + 1x - 50
This step is written correctly.
The second step is to add similar terms:
-4x - 7 ≤ 1x - 52
This step is written correctly.
The third step is to pass the number 7 adding on the right side of the inequality:
-5x ≤ -45
This step is written correctly.
The last step is to divide between 5 both sides of the inequality. Then, multiply by -1. When multiplied by -1, the direction of the inequality changes:
x ≤9
This step is written incorrectly.
Answer:
Andrew did not change the symbol of the inequality in the last step.
Answer:
81 million
Step-by-step explanation:
A = Pe^rt
Let's break this equation down.
A is the total you will have.
P is the starting value.
R is the rate
T is the time.
Let's find the rate first.
74000000 = 70000000e^7r
Divide each side by 70mil
74000000/70000000 = e^7r
Then take the ln() of each side.
ln(74000000/70000000) = 7r
0.0556 = 7r
r = 0.0079
Now we can find how many people will be there in 2010.
A = 70,000,000e^(19 * 0.0079)
A = 81336530.2373
Now we round to the nearest million, leaving us with 81 million.
A) 44
B) 60
C) 84
D) 72