Answer:
t = 8.31 years
Step-by-step explanation:
This is compound growth with a growth rate of 5%, initial count of 600 and final count of 900.
The appropriate equation is P = Po (1 + 0.05)^t, where t represents the number of years required for the population to reach P:
900 = 600 (1.05)^t. Let's solve this for t:
Dividing both sides by 600, we get 900/600 = 1.05^5, or
1.5 = 1.05^t.
To solve for t, take the log of both sides:
ln 1.5 = t*ln 1.05, or
t = (ln 1.5) / (ln 1.05)
This evaluates to t = 8.31 years.
The 3rd selection is appropriate.
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(1/5)(5x) = x, so the inverse transformation returns the original. Not so for the other choices.
A I believe it is the answer
-2x - 4 > 8...add 4 to both sides
-2x > 8 + 4
-2x > 12...divide both sides by -2 and change inequality sign
x < 12/-2
x < -6
