Absolute values are a way of finding a distant from zero, which means there will be 2 answers; one will be positive, and the other will be negative.
|<em>3x - 4</em>| = 5<em>and</em> |3<em>x - 4</em> = a^5 Because you need 2 answers, you have to make 5 positive and negative.
Another way to write this equation would be...
5=|3x-4|=—5
Now lets continue...
5=3x-4=—5
Add 4 to both sides...
9=3x=—1
Now divide by 3...
3=x= -1/3
So the solution is...
X={-1/3 3}
Let the number of gallons consumed be the first car be x, and that of the second car, y. Then:
x + y = 50 . . . . . . . (1)
20x + 15y = 850. . . (2)
(1) x 20 => 20x + 20y = 1000 . . . (3)
(2) - (3) => -5y = -150 => y = -150/-5 = 30
From (1), x + 30 = 50 => x = 50 - 30 = 20
Therefore, first car consumed 20 gallons and the second consumed 30 gallons.
Answer: Choice A) $4500.33
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Explanation:
The formula you'll use is
F = P*(1+r)^t
where
F = final amount
P = initial amount
r = growth rate (in decimal form)
t = time in years
In this case,
F = unknown (this is what we're trying to figure out)
P = 3046
r = 0.05 (since 5% = 5/100 = 0.05)
t = 8
Plug those three known values into the formula and evaluate
F = P*(1+r)^t
F = 3046*(1+0.05)^8
F = 3046*(1.05)^8
F = 3046*1.4774554
F = 4500.3291484
F = 4500.33 ... round to the nearest penny
