horizontal shrink by a factor of 1/2
4 units to the left
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.


<em><u>Solution:</u></em>
<em><u>We have to find the inequalities that are true</u></em>
<em><u>Option 1</u></em>

0.6 is not less than 0
Thus this inequality is not true
<em><u>Option 2</u></em>

0.667 is greater than 0.5
Thus this inequality is true
<em><u>Option 3</u></em>

0.818 is less than 1
Thus this inequality is true
<em><u>Option 4</u></em>

0.5 = 0.5
Thus the above inequality is not true
90 square ft (try and look at it like each side is a 2d rectangle, find the areas of the sides and then add them up.)
= 2/6 = 3/9 = 12/36 = 24/72