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Rudik [331]
3 years ago
7

A construction company buys a bulldozer for $26,000. The company expects the useful life of the machine to be 12 years, at which

time its value will have depreciated to $6000. The company uses the declining balances method for depreciation, so the annual depreciation rate r (in decimal form) is given by the formula r=1−(S/C)^1/n . In the formula, n is the useful life of the item (in years), S is the salvage value (in dollars), and C is the original cost (in dollars). What annual depreciation rate (in percent form) did the company use? Round your answer to the nearest tenth.
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
5 0

Answer:

  11.5%

Step-by-step explanation:

Put the given numbers in the formula and do the arithmetic.

  r = 1 - (6000/26000)^(1/12) = 1 -(3/13)^(1/12) ≈ 1 -0.88498 ≈ 11.5%

The company used a depreciation rate of 11.5%.

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3 years ago
12 Explain A bag includes one number card each for the numbers 1-25. Each of
Alex

Answer:

Let us say the domain in the first case, has the numbers. And the co-domain has the students, .

Now for a relation to be a function, the input should have exactly one output, which is true in this case because each number is associated (picked up by) with only one student.

The second condition is that no element in the domain should be left without an output. This is taken care by the equal number of students and the cards. 25 cards and 25 students. And they pick exactly one card. So all the cards get picked.

Note that this function is one-one and onto in the sense that each input has different outputs and no element in the co domain is left without an image in the domain. Since this is an one-one onto function inverse should exist. If the inverse exists, then the domain and co domain can be interchanged. i.e., Students become the domain and the cards co-domain, exactly like Mario claimed. So, both are correct!

8 0
4 years ago
A car travels 270 miles in 4.5 hours. What is the rate in miles per hour?
jok3333 [9.3K]

270 divided by 4.5 = 60

6 0
3 years ago
Read 2 more answers
Question: State whether each table of values represents a function​
Mashcka [7]

Answer:

Please check the explanation.

Step-by-step explanation:

  • As we know that the values in the table represent a function​ only if there there is only 1 input for every output.

Given the table 1

x              y

-12           2

-10           10

0              -2

5              -6

8               -11

15              -15

From the table, it is clear that for each input there exists a unique output.

i.e.

According to the given table,

y = 2 at x=-12

y = 10 at x=-1 0

y = -1 at x=0

y = -11 at x=8

y = -15 at x=15

From the table, it is clear that for each input x, it has a unique output y.

Hence, table 1 is a function.

Given the table 2

x              y

9            -18

-20           0

-6              1

-17              16

9                17

11              19

This table does not produce a function, because the input x=9 produces two outputs.

i.e.

at x = 9, the y = -18

at x = 9, the y = 17

Therefore, the table 2 does not represent a function.

3 0
3 years ago
What is 4/5 times 7/12
slamgirl [31]

Answer:

\frac{28}{60}(\frac{7}{15})

Step-by-step explanation:

b/c 4/5*7/12

means 4*7 and 5*12

then28/60

hope it's helpful

THANK YOU.

3 0
3 years ago
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