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Fynjy0 [20]
3 years ago
14

Assume that a student attends a four-year college with tuition costs of $20,000 per year, room and board costs of $5,000 per yea

r, and books/entertainment costs of $1,000 per year. If the student did not go to college, she would work at a job that pays $25,000 per year but still face the same room and board and entertainment expenses. The opportunity cost of attending college for this student for four years is:
Mathematics
1 answer:
Kamila [148]3 years ago
7 0

Answer:

$180,000.

Step-by-step explanation:

We have been given that a student attends a four-year college with tuition costs of $20,000 per year, room and board costs of $5,000 per year, and books/entertainment costs of $1,000 per year. If the student did not go to college, she would work at a job that pays $25,000 per year but still face the same room and board and entertainment expenses.

We know that opportunity cost is the profit lost, when one alternative is selected over another.

Opportunity cost of attending college for 4 years would be amount lost from job in 4 years plus amount spent on studies because the student lost $25,000 for four years for not doing the job and spent $20,000 for 4 years on studies.

4(\$25000+\$20,000)=4(\$45,000)=\$180,000

Therefore, the opportunity cost of attending college for this student for four years is $180,000.

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Find a unit vector in the same direction as the given vector: v = −14.5i + 2.5 j.
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ANSWER

-  \frac{29}{866}  \sqrt{866} i + \frac{5}{866}  \sqrt{866} j

EXPLANATION

The given vector is v = −14.5i + 2.5 j.

The magnitude of this vector is

|v|  =  \sqrt{ {( - 14.5)}^{2}  +  {2.5}^{2} }

v|  =  \sqrt{ {( - 14.5)}^{2}  +  {2.5}^{2} }

v|  =  \sqrt{ 216.5}  =  \frac{ \sqrt{866} }{2}

The unit vector in the direction of this vector is

=  \frac{v}{ |v| }

= -   \frac{14.5}{ \frac{ \sqrt{866} }{2} } i +    \frac{2.5}{ \frac{ \sqrt{866} }{2} } j

=  -  \frac{29}{866}  \sqrt{866} i + \frac{5}{866}  \sqrt{866} j

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3 years ago
Hana is playing a virtual reality game in which she must toss a disc to land on the largest triangular section of the board. If
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Answer:

Her probability of success is 1/2

Step-by-step explanation:

Firstly, we have to calculate the area of the entire board

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The area of this is the product of the two divided by 2

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Step-by-step explanation:

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