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lilavasa [31]
3 years ago
6

the value of a new automobile depreciates 15% during the first year, and 16% during the second year. What is its depreciated val

ue at the end of the second year if its original cost was $15,000
Mathematics
1 answer:
Flauer [41]3 years ago
3 0
It starts at 100% - 15% = 85% after the first year. $15,000*0.85 = $12,750
The second year is further reduced 100% - 16% = 84%
$12,750*0.84 = $10,710


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Can you help me please
Alina [70]

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120 in²

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Diane has 12 coins that total $1.60. If the coins are all nickels and
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she has 4 quarters because 4 quarters equals $1 and she has 12 nickles because 12 × 5 =60

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Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.
blagie [28]
A.
5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
5x-4=-2 \times 3x-2 \times 2 \\
5x-4=-6x-4 \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 6x to both sides} \\
11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\
11x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 11} \\
x=0

B.
3(2x-4)=5x-1 \\
6x-12=5x-1 \\
\boxed{11x-12=-1} \Leftarrow \hbox{the first mistake} \\
11x=11 \\
\boxed{x=11} \Leftarrow \hbox{the second mistake}

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\
x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  |\hbox{add 12 to both sides} \\
x=11
3 0
3 years ago
Professor henry knows from past experience that 30% of all homework papers handed in will be missing the name of the person who
Savatey [412]
If you would like to know how many papers will be missing the name, you can calculate this using the following steps:

30% of 200 homework papers = 30% * 200 = 30/100 * 200 = 60 homework papers

The correct result would be a) between 50 and 70 papers will be missing the name.
4 0
3 years ago
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