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Art [367]
3 years ago
12

You start at (4, 4). You move right 1 unit and down 4 units. Where do you end?

Mathematics
2 answers:
Dominik [7]3 years ago
8 0

Answer:

You would end at (5,5)

On the the grid or your platform I believe

xz_007 [3.2K]3 years ago
3 0

Answer: (5,0)

Step-by-step explanation:

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Courtney wants to make a circular tablecloth for the kid's table at Thanksgiving dinner. If the tablecloth must have a diameter
n200080 [17]

Answer:

24 square feet

Step-by-step explanation:

Please see the attached picture for full solution.

*Since 23.758 is greater than 23.5, we would have to round up the number to 24. Thus, the most suitable answer is 24 ft² and not 23 ft².

3 0
3 years ago
A mutual fund has total assets of $55,000,000 and total liabilities of $6,000,000. There are 1,500,000 shares outstanding. Find
tia_tia [17]

Answer:

$32.67

Explanation:

The net asset value can be calculated using the following equation:

\text{net asset value = }\frac{Total\text{ Assets - Total Liabilities}}{Number\text{ of outstanding shares}}

So, replacing the values, we get:

\begin{gathered} \text{net asset value = }\frac{55,000,000-6,000,000}{1,500,000} \\ \text{net asset value = }\frac{49,000,000}{1,500,000}=\text{ \$32.67} \end{gathered}

Therefore, the net asset value is $32.67

4 0
1 year ago
The University of Texas at Austin has three times as many students enrolledas the University of Miami. The University of Califor
harina [27]

Answer:

University of Texas has 46,500 students, University of California has 34,000 students and University of Miami has 15,500 students.

Step-by-step explanation:

Represent Texas with T, Miami with M and California with C. With the given information, the following equations were obtained.

T = 3 × M

T – 3M = 0 ………………………….(i)

C = 3,000 + 2 × M

C – 2M = 3,000…………………..(ii)

T + C + M = 96,000…………….(iii)

By rearranging, we have:

1T + 0C – 3M = 0 ………………………….(i)

0T + 1C – 2M = 3,000…………………..(ii)

1T + 1C + 1M = 96,000………….…….(iii)

The Augmented Matrix is:

\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]\left[\begin{array}{ccc}T\\C\\M\end{array}\right] = \left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]

Making \left[\begin{array}{ccc}T\\C\\M\end{array}\right] the subject of the formula we have:

\left[\begin{array}{ccc}T\\C\\M\end{array}\right] = \frac{\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]}{\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]}

Let’s say matrix A = \left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right], the inverse of matrix A = \left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right] is determined by the formula \frac{Adjoint(A)}{determinant(A)}. This can also be computed directly on a scientific calculator.

\left[\begin{array}{ccc}T\\C\\M\end{array}\right] = \left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right] \left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]

= \left[\begin{array}{ccc}46,500\\34,000\\15,500\end{array}\right]

T = 46,500

C = 34,000

M = 15,500

6 0
4 years ago
Read 2 more answers
What is the answer to this question?
dimulka [17.4K]
It decreased $7 in the last 2 days
8 0
3 years ago
Given square ERTN, what is the length of NT ?
lesya [120]

Answer:

|NT| = 25

Step-by-step explanation:

The four sides of this square all have the same length.  Thus, 5x = 10x - 25, which, in turn, becomes 25 = 5x, giving us x = 5.  The length of NT is 5(x), or |NT| = 25.

7 0
2 years ago
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