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Alisiya [41]
3 years ago
11

If you study an extra 10 hours a week for a year (52 weeks) and you earn a four-year scholarship valued at $50,000, what is your

hourly return on your investment in study time? (Round to two decimal places)
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
6 0

Answer: $96.15

Step-by-step explanation:

If you study an extra 10 hours per week, for 52 weeks, in total you studied 52 times 10 hours, this is:

52*10 h = 520h hours.

Now, for these 520 hours of hard work, you earn a scholarship valued (in total) at $50,000.

Then how much is worth each one of these 520 hours?

Let's take divide the value of the scholarship evenly into the 520 hours:

$50,000/520h = $96.15.

This means that the hourly return is $96.15

You might be interested in
A real estate agent has surveyed houses in twenty nearby zip codes in an attempt to put together a comparison for a new property
gladu [14]

Answer:

A a house in that market that sells for ​$300,000 is unusual.

Step-by-step explanation:

Let the random variable <em>X</em> denote the price of a house and the random variable <em>Y</em> denote the living area of a house.

The number of houses surveyed by the real estate agent is, <em>n</em> = 1057.

Assume that both the random  variables, <em>X </em>and <em>Y</em> are approximately normally distributed.

That is,

X\sim N(\$169400,\ \$68438)\\\\Y\sim N(2058\ \text{sq. ft.},\ 790\ \text{sq. ft.})

To compute the probability of a Normal distribution we first need to convert the raw scores to <em>z</em>-scores.

z=\frac{\text{Raw score}-\mu}{\sigma}

A <em>z</em>-score higher than 1.96 and lower than -1.96 are considered unusual. The values having these <em>z</em>-scores are considered as outliers.

(1)

Compute the <em>z</em>-score for <em>X</em> = 300000 as follows:

z=\frac{X-\mu}{\sigma}\\\\=\frac{300000-169400}{68438}\\\\=2.70

(2)

Compute the <em>z</em>-score for <em>Y</em> = 3000 as follows:

z=\frac{Y-\mu}{\sigma}\\\\=\frac{3000-2058}{790}\\\\=1.19

The <em>z</em>-score for a house in that market that sells for ​$300,000 is more than 1.96.

This implies, that the price $300,000 is unusually high.

The complete statement is:

The house that sells for ​$300 comma 000 has a​ z-score of <u>2.70</u> and the house with 3000 sq ft has a​ z-score of <u>1.19</u>.

5 0
3 years ago
Find an equation for the line with slope m = -6/7 and which goes through the point (14, 4).​
Genrish500 [490]

Answer:

A line with a slope of – that passes through the point (–14, 4)

Step-by-step explanation:

The equation of a line is typically written as y= mx+b where m is the slope and b is the y- intercept.

5 0
3 years ago
The price of a stock want down $4.25 on Monday and then down $2.75 on Tuesday. What was the overall change in price for the two
AleksandrR [38]
Are you seriously asking that? 4.25 - 2.75. 1.5 is the answer
3 0
3 years ago
Someone please helppp
RSB [31]
0.5 inches ph * 3 hours = 1.5 inches

+ 10 inches he started with.

= 11.5 inches.

I don’t know about the second question
5 0
3 years ago
When 36 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.
Sloan [31]

Answer:

n = -4

Step-by-step explanation:

If we subtract 36 from the square of that number, X^2 - 36 ...

The result is equal to 5 times the number, 5X

Therefore,

X^2 - 36 = 5X

You've probably seen this solved by putting the equation in the form:

aX^2 - bX - c = 0

Doing that here, we subtract 5X from both sides to make the right side of the equation equal to zero.

X^2 - 5X - 36 = 0

Now we need to factor this.

(X _ _ )(X _ _ ) = 0 (where _ denotes an operator or term that we need.)

Looking at the operators, we see that the operands are different, so

(X - _ )(X + _ ) = 0 (we have operator, need term.)

Now we need to find two factors of 36 whose difference is 5. So let's try a few:

36 = 6 X 6 Nope

36 = 12 X 3 Nope

36 = 9 X 4 Yup!

Since the middle term is negative, we know the placement of the 9 and 4.

(X-9)(X+4)= 0

Therefore, X-9=0 or X+4=0

X-9=0 => X=9

X+4=0 => X=-4

Going back to the original problem, it says "Find the negative solution."

Therefore, X=-4.

Let's check:

(-4)^2-36 = 5*(-4)

16-36 = -20

-20=-20 Check!

3 0
4 years ago
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