The key word here is "or". If it's an OR question, you add the probabilities together. If it says "and", you multiply them together
As it is an OR question though, you add them.
So:
15 + 5 = 20%
Wouldnt it be 21 idk dont pay attention to me lol
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:
<em>Height of tomato plant is the </em><u><em>dependent variable</em></u>
<em>Presence of walnut leaves in the soil is the </em><u><em>independent variable</em></u>
<em>Tomato plants grown without walnut leaves is the </em><u><em>control</em></u>
<u><em></em></u>
Step-by-step explanation:
<em>An independent variable is the variable in an experiment that can be altered to test for a certain result. It is independent, or does not change with change in other factors in the experiment.</em> In this case, the presence or absence, or quantity of walnut available in the soil is the independent variable in the experiment.
<em>A dependent variable varies, and depends on the independent variable. It is what is measured in the experiment.</em> In this case, the height of the tomato plants is the dependent variable that depends on the presence, absence or quantity of walnut in the soil.
<em>A control in an experiment, is a replicate experiment, that is manipulated in order to be able to test a single variable at a time.</em> Controls are variables are held constant so as to minimize their effect on the system under study. In this case, some of the tomato plants are planted without walnut in the soil, to test the effect of the absence of the walnut in the soil.
