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Montano1993 [528]
3 years ago
11

A new employee charged $3980 on his credit card to relocate for his first job.After noticing that the interest rate for his bala

nce was 21% compounded monthly,he stopped charging on that account.his wishes to pay off his balance in 4 years using automatic payments at the end of each month.
A.what monthly payment must he make to pay off the account at the end of 4 years?

B.how much total interest will he have paid?

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0

Answer:

that should be how you would solve those questions..

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I have this question I've thought about it but I couldn't get the answer i really will appreciate if anyone helps me out with it
Vesna [10]

Answer:

112 ounces

Step-by-step explanation:

Malia bought 14 cans of cat food

Each of the can weighs 8 ounces

Therefore the total ounces of cat food bought can be calculated as follows

= 14×8

= 112 ounces

8 0
3 years ago
Determine whether the set of all linear combinations of the following set of vector in R^3 is a line or a plane or all of R^3.a.
Temka [501]

Answer:

a. Line

b. Plane

c. All of R^3

Step-by-step explanation:

In order to answer this question, we need to study the linear independence between the vectors :

1 - A set of three linearly independent vectors in R^3 generates R^3.

2 - A set of two linearly independent vectors in R^3 generates a plane.

3 - A set of one vector in R^3 generates a line.

The next step to answer this question is to analyze the independence between the vectors of each set. We can do this by putting the vectors into the row of a R^(3x3) matrix. Then, by working out with the matrix we will find how many linearly independent vectors the set has :

a. Let's put the vectors into the rows of a matrix :

\left[\begin{array}{ccc}-2&5&-3\\6&-15&9\\-10&25&-15\end{array}\right] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix  ⇒

\left[\begin{array}{ccc}-2&5&-3\\0&0&0\\0&0&0\end{array}\right]

We find that the second vector is a linear combination from the first and the third one (in fact, the second vector is the first vector multiply by -3).

We also find that the third vector is a linear combination from the first and the second one (in fact, the third vector is the first vector multiply by 5).

At the end, we only have one vector in R^3 ⇒ The set of all linear combinations of the set a. is a line in R^3.

b. Again, let's put the vectors into the rows of a matrix :

\left[\begin{array}{ccc}1&2&0\\1&1&1\\4&5&3\end{array}\right] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒

\left[\begin{array}{ccc}1&1&1\\0&1&-1\\0&0&0\end{array}\right]

We find that there are only two linearly independent vectors in the set so the set of all linear combinations of the set b. is a plane (in fact, the third vector is equivalent to the first vector plus three times the second vector).

c. Finally :

\left[\begin{array}{ccc}0&0&3\\0&1&2\\1&1&0\end{array}\right] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒

\left[\begin{array}{ccc}1&1&0\\0&1&2\\0&0&3\end{array}\right]

The set is linearly independent so the set of all linear combination of the set c. is all of R^3.

4 0
3 years ago
Find the ninth partial sum of infinite sumnation 3i-4
snow_tiger [21]
\bf \sum\limits_{i=1}^9\ 3i-4\implies \sum\limits_{i=1}^9\ 3i-\sum\limits_{i=1}^9\ 4\implies 3\sum\limits_{i=1}^9\ i-\sum\limits_{i=1}^9\ 4
\\\\\\
3\cdot  \cfrac{9(9+1)}{2}-(9\cdot 4)

and surely you know how much that is.
3 0
3 years ago
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 6 inches?
pentagon [3]

Answer:

8

Step-by-step explanation:

The formula for a triangle is bxh/2. 24/6=4x2=8 The answer is 8 out of those options.

5 0
2 years ago
Read 2 more answers
What scale would be appropriate to graph the data
Vikki [24]
It depends on the equation and how far the numbers go on the x and y axis
5 0
3 years ago
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