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NNADVOKAT [17]
3 years ago
13

The total cost to attend the university Daniel wants to attend is going to be $12,000 for the first year.

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
5 0

Answer:

$395.83

Step-by-step explanation:

to solve, we first need to subtract what we already have, first the scholarship, wich is a set amount being taken from the original amount

12'000 - 2'500 = 9'500

now we have the second subtracting factor, but this one isn't set in stone and defined, it is half of the amount his parents will pay, so what we can do is divide what we have by two, wich will give us 2 halves

9'500 / 2 = 4'750

now all we have to do is divide again but this time for each month that Daniel needs to save up in, in this case 12

4'750 / 12 = 395.83 (note1)

and there we have it, that is the minimum amount Daniel would save each month

note1: (3 goes on for infinity, usualy this is represented by a line above the repeating number, this is the case of a repeating decimal)

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A building that is 100 for tall casts a shadow that makes a 30 degree angle. Approximately how long in feet is the shadow across
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Answer:   173.20 ft

Step-by-step explanation:

Observe the attached image. To know how long the shadow is, we must find the length of the adjacent side in the triangle shown. Where the opposite side represents the height of the building

By definition, the function tan (x) is defined as

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So

opposite = 100\ feet\\x=30\°

adjacent = l

Then

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l = \frac{100}{tan(30\°)}

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Suppose that the regression for predicting weight (in pounds) from Height (in Select one answer inches) is given by Weight =-115
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Option D)  I and II only                                    

Step-by-step explanation:

We are given the following in the question:

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where w is the weight in pounds and h is the height in inches.

Since the weight depends on height, height becomes the independent variable and weight becomes the dependent variable.

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When h = 61,

w = -115 + 3.6(61) = 104.6

Thus, the given statement is true.

II. For every additional inch of height, the predicted weight will increase, on average, by 3.6 pounds.

If the height increases by 1 unit, then,

w(h+1) - w(h) = -115 + 3.6(h+1) - (-115 + 3.6(h))\\w(h+1) - w(h)  = 3.6(h+1-h)\\w(h+1) - w(h)  = 3.6

Thus, the given statement is correct.

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Thus, the correct answer is

Option D)  I and II only

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