Denver is about 5,200 feet above sea level. Which number line best represents this integer?
1 answer:
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Answer:
C. (see the attachment)
Step-by-step explanation:
Both inequalities include the "or equal to" case, so both boundary lines will be solid. That excludes choices A and D.
The first inequality is plotted the same way in all graphs, so we must look at the second inequality. The relationship of y and the comparison symbol is ...
-y ≥ (something)
If we multiply by -1, we get ...
y ≤ (something else)
This means the solution space will be <em>on or below (less than or equal to) the boundary line</em>. This is the shaded area in graph C. (Graph B shows shading <em>above</em> the line.)
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<em>Further comment</em>
Since the boundary for the second inequality is fairly steep, "above" and "below" the line can be difficult to see. Rather, you can consider the relationship of x to the comparison symbol. For the second inequality, that is ...
x ≥ (something)
indicating the solution space is <em>on or to the right of the boundary line</em>.
9514 1404 393
Answer:
4.9% weekly
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where A is the account balance that results from investing P at rate r compounded n times per year for t years.
Filling in the values for the two scenarios, we find ...
A = 10,000(1 +0.04/365)^(365·3) ≈ 11,274.89
A = 10,000(1 +0.049/52)^(52·3) = 11,582.74
The higher interest rate will earn Mr. Larson the most money in three years. (4.9% weekly)
