Answer:
12 people.
Step-by-step explanation:
Let's do this one at a time.
First stop:
0 + 11 = 11
Second stop:
11 + 5 = 16.
16 - 7 = 9.
Third stop:
9 + 5 = 14.
14 - 2 = 12.
<em>There</em><em> </em><em>were</em><em> </em><em>12</em><em> </em><em>people</em><em> </em><em>on</em><em> </em><em>the</em><em> </em><em>bus</em><em> </em><em>after</em><em> </em><em>the</em><em> </em><em>driver</em><em> </em><em>left</em><em> </em><em>the</em><em> </em><em>third</em><em> </em><em>stop</em><em>.</em>
(20 + 12) - 8, since the question states n is EIGHT less than the sum of 20 and 12.
Answers:
- <u>24000 dollars</u> invested at 4%
- <u>18000 dollars</u> was invested at 7%
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Work Shown:
x = amount invested at 4%
If she invests x dollars at 4%, then the rest (42000-x) must be invested at the other rate of 7%
She earns 0.04x dollars from that first account and 0.07(42000-x) dollars from the second account
This means we have
0.04x+0.07(42000-x)
0.04x+0.07*42000-0.07x
0.04x+2940-0.07x
-0.03x+2940
This represents the total amount of money earned after 1 year.
We're told the amount earned in interest is $2220, so we can say,
-0.03x+2940 = 2220
-0.03x = 2220-2940
-0.03x = -720
x = -720/(-0.03)
x = 24000 dollars is the amount invested at 4%
42000-x = 42000-24000 = 18000 dollars was invested at 7%
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As a check, we can see that
18000+24000 = 42000
and also
0.04x = 0.04*24000 = 960 earned from the first account
0.07*18000 = 1260 earned from the second account
1260+960 = 2220 is the total interest earned from both accounts combined
This confirms our answers.