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stiks02 [169]
3 years ago
13

- A car is originally worth $34,450. It takes 13 years for this car to totally depreciate. How long will it take for the car to

be worth half its value
Mathematics
1 answer:
ohaa [14]3 years ago
4 0

Answer:

If the car depreciates each year by the same amount, it will depreciate yearly by $2650 dollars

Step-by-step explanation:

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Convert the following systems of equations to an augmented matrix and use Gauss-Jordan reduction to convert to an equilivalent m
Rasek [7]

Answer:

System of equations:

x_1+2x_2+2x_3=6\\2x_1+x_2+x_3=6\\x_1+x_2+3x_3=6

Augmented matrix:

\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]

Reduced Row Echelon matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]

Step-by-step explanation:

Convert the system into an augmented matrix:

\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]

For notation, R_n is the new nth row and r_n the unchanged one.

1. Operations:

R_2=-2r_1+r_2\\R_3=-r_1+r_3

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&-3&-3&-6\\0&-1&1&0\end{array}\right]

2. Operations:

R_2=-\frac{1}{3}r_2

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&-1&1&0\end{array}\right]

3. Operations:

R_3=r_2+r_3

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&2&2\end{array}\right]

4. Operations:

R_3=\frac{1}{2}r_3

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]

4 0
3 years ago
Liam is paid $25/hr at full rate, and $18/hr at a reduced rate. The hours of work are paid at a ratio of 3:1, full rate : reduce
Lyrx [107]

Answer:

4h30min full rate and 1h30 min reduced rate

So, for 6h of work Liam is owed $ 9×25/2+3×18/2=225/2+32=144.5

8 0
3 years ago
If tickets for a concert cost $9 each, how many tickets can you buy if you have $135?
bija089 [108]

Answer:

15

Step-by-step explanation:

135 divided by 9 = 15

3 0
2 years ago
Rosana construindo um galinheiro no fundo de sua residencia utilizou 4 galoes para o transporte do material. Um dos galoes era f
LiRa [457]
Question: Rosana building a chicken coop at the bottom of your residencia used 4 gallons for the transport of the material. One of gallons was fragile and not make it. What gallon not stand it?                                                                   (a) the water
(b) the mass of c the brita
(d) the sand                                                                                                            Answer: B) the mass of c the brita 
7 0
2 years ago
An ant crawls at a rate of 216 ft per minute. At this rate, how long does it take the ant to crawl a distance of 515 ft? Enter y
quester [9]
216 ft per minute or 3.6 ft per second 
515 divided by 216 is 2.38 
it takes 2.38 minutes for the specified ant to crawl 515 feet 

5 0
3 years ago
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