Answer:
D
Step-by-step explanation:
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.
Hello.
is a quadratic function, because it has an (x squared, or x times x) term.
Here's what linear functions look like:
A graph of a linear function is a line.
Quadratic functions look like so:
A graph of a quadratic function is a parabola.
Therefore, the given function is a quadratic function.
I hope this helps.
Have a nice day.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Sum of the interior angles of any triangle is 180° .
Thus ;
Subtract sides 138°
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
First let us determine the total number of combinations that
can be made from these pair. The number of combinations can simply be
calculated by multiplication, so:
Combination = 4 * 4 = 16
Since we know that for each shirt color, there is a
corresponding sock with the same color. So there are 4 matching pairs.
Therefore the unmatching pairs are 12. Calculating the probability to get
unmatching pair would be:
Probability of unmatching pair = 12/16 = 0.75
Interpretation: There is a 75% probability that his socks
and shirt wont match.