Last summers, students who worked earned an average of $80 a week with a standard deviation of $12. What percentage of students
1 answer:
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Answer:
Step-by-step explanation:
Let . We have that
if and only if we can find scalars
such that
. This can be translated to the following equations:
1.
2.
3.
Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for and check if the third equationd is fulfilled.
Case (2,6,6)
Using equations 1 and 2 we get
whose unique solutions are , but note that for this values, the third equation doesn't hold (3+2 = 5
6). So this vector is not in the generated space of u and v.
Case (-9,-2,5)
Using equations 1 and 2 we get
whose unique solutions are . Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.
The interest rate is 3.5%.
EXPLANATION
We substitute the given values into the formula;
to obtain
We divide through by 6000 to obtain,
This implies that,
We take the square root of both sides,
This gives us,
Add -1 to both sides of the equation to obtain
Multiply through by 100 to obtain;
%
EXPLANATION
We substitute the given values into the formula;
to obtain
We divide through by 6000 to obtain,
This implies that,
We take the square root of both sides,
This gives us,
Add -1 to both sides of the equation to obtain
Multiply through by 100 to obtain;