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skad [1K]
3 years ago
15

A deposit earns $102 after 36 months at a simple interest rate of 5%

Mathematics
1 answer:
Vladimir [108]3 years ago
6 0

Answer:

You need to give us the possible answers first.

Step-by-step explanation:

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Determine if the columns of the matrix form a linearly independent set. Justify your answer. Choose the correct answer below. A.
kondaur [170]

Th matrix is missing. The matrix is :

\begin{bmatrix}1 &-4  &4 \\ -4 &16  & 4 \end{bmatrix}

Solution :

The column of the matrix are \begin{bmatrix}1\\ -4\end{bmatrix} , \begin{bmatrix}-4\\ 16\end{bmatrix}, \begin{bmatrix}4\\ 4\end{bmatrix}

Now each of them are vectors in $IR^2$. But  $IR^2$ has dimensions of 2. But there are 3 column vectors, hence they are linearly dependent.

Therefore, the column of the given matrix does not form the \text{linearly independent set} as the set contains \text{more vectors} than there are entries in each vector.

Therefore, option (D) is correct.

4 0
2 years ago
WhAts the answer to 5?
Paha777 [63]
I think its b but i am not surely sure so you might want to check with someone else
3 0
3 years ago
Read 2 more answers
The formula C=5/9 (F-32) can be used to convert a temperature from degress Fahrenheit to degress Celsius.
Lina20 [59]
B) 0.56
becouse you only need to divide 5 by 9
4 0
3 years ago
An airplane flies due north from ikeja airport for 500km.It then flies on a bearing of 060 from a further distance of 300km befo
Nata [24]

Answer:

482 km

63.94 degrees

Step-by-step explanation:

to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.

Cosine rule states that

C = \sqrt{A^{2} + B^{2} -2AB   cos(c)  }

where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060

solving now, we have

C = \sqrt{500^{2} + 300^{2} -2 * 500 * 300 cos(60)  }

C = \sqrt{250000 + 90000 - [215000   cos(60)  }]

C = \sqrt{340000 - [215000 * 0.5  }]

C = \sqrt{340000 - [107500  }]

C =\sqrt{232500}

C = 482 km

The bearing can be gotten by using the Sine Rule.

\frac{sina}{A} = \frac{sinc}{C}

sina/500 = sin60/482

482 sina = 500 sin60

sina = \frac{500 sin60}{482}

sina = 0.8983

a = sin^-1(0.8983)

a = 63.94 degrees

6 0
2 years ago
Solve the inequality: -6n - 12 >= 3(-n + 12)
Verizon [17]

Answer:

-16 > n or n < -16

Step-by-step explanation:

First, we can write the inequality and distribute.

-6n-12 > 3(-n+12)

-6n-12 > -3n+36

Get rid of a variable first (it makes solving a lot easier). We can add 6n to both sides.

-6n-12 > -3n+36

<u>+6n          +6n</u>

-12 > 3n+36

Now, we can subtract 36 on both sides.

-12 > 3n+36

<u>-36         -36</u>

-48 > 3n

Divide by 3 on both sides.

-48 > 3n

<u>/3       /3</u>

-16 > n or (if it's easier) n < -16

Hope this helps!! Have a wonderful day C:

7 0
2 years ago
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