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Elenna [48]
3 years ago
12

Tavon has a gift card for $45 that loses $2 for each​ 30-day period it is not used. He has another gift card for $35 that loses

$1.50 for each​ 30-day period it is not used.
a. Write and solve an equation for the number of​ 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal​ value?
Mathematics
1 answer:
leva [86]3 years ago
7 0

Answer:

1

Step-by-step explanation:

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Solve ry + s = tx - m for y. Explain each step in your solution.
sergeinik [125]

y = (t x - m -s)/r

Step-by-step explanation:

Step 1 :

Given,

r y + s = t x - m

=> r y = t x - m -s

=>  y = (t x - m -s)/r

Step 2 :

A) r can take any values except 0.

This is because when r = 0, the denominator becomes 0 and division by 0 is undefined

The limitation for r is r should not be equal to 0

The other variables can take any value. Hence the other variables do not have any limitation

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3 years ago
A dollar bill is 6.14 inches long, 2.61 inches wide, and 0.0043 inches thick. If you laid 1 million dollar bills end to end, how
navik [9.2K]
The answer would be 97 when rounded to the nearest mile (if you were were going for length)
4 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
2 years ago
Help plsssssss someone
oksano4ka [1.4K]
The answer would be C.
3 0
2 years ago
Read 2 more answers
A cylinder has a radius of 5 cm and a height of 8 cm. How many cubic meters of fluid can fill this cylinder
Artist 52 [7]
V=bh
V=pi r^2*h
V=pi 5^2*8
V=pi 25*8
V=pi 200
V=200cubic meters
4 0
2 years ago
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