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.
Answer:
Kyle's house is 5000 m away from the school.
Step-by-step explanation:
Carter lives 3 kilometers away from the school and Kyle lives 2000 meters farther away from the school then Carter does.
Simply put, Kyle lives an extra 2000 meters plus the distance of Carter's house from the school.
So, we simply need to add the two distances given to us to the find our answer.
Let us put the distance of Carter's house in metres:
1 km = 1000 m
=> 3 km = 3 * 1000 m = 3000 m
Hence, the distance of Kyle's house from the school is:
3000 m + 2000 m = 5000 m
Kyle's house is 5000 m away from the school.
