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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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miss Akunina [59]
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3 years ago
Read 2 more answers
An instructor gives her class the choice to do 7 questions out of the 10 on an exam.
Maksim231197 [3]

Answer:

(a) 120 choices

(b) 110 choices

Step-by-step explanation:

The number of ways in which we can select k element from a group n elements is given by:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:

10C7=\frac{10!}{7!(10-7)!}=120

Then each student have 120 possible choices.

On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:

1. A student select 3 questions from the first 5 questions and 4 questions from the last 5 questions. It means that the number of choices is given by:

(5C3)(5C4)=\frac{5!}{3!(5-3)!}*\frac{5!}{4!(5-4)!}=50

2. A student select 4 questions from the first 5 questions and 3 questions from the last 5 questions. It means that the number of choices is given by:

(5C4)(5C3)=\frac{5!}{4!(5-4)!}*\frac{5!}{3!(5-3)!}=50

3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:

(5C5)(5C2)=\frac{5!}{5!(5-5)!}*\frac{5!}{2!(5-2)!}=10

So, if a student must answer at least 3 of the first 5 questions, he/she have 110 choices. It is calculated as:

50 + 50 + 10 = 110

6 0
3 years ago
Loook at the image bellow &lt;3<br> ill also give brainliest
Serhud [2]

Answer:

kinda late but the answer is B

Hope this helps!! <3

8 0
2 years ago
Carl is making the kite shown (shorter sides measure 24 inches) with a perimeter of 120 inches
elena-14-01-66 [18.8K]

Answer:

To solve for x the equation would be. (120 - 48) ÷ 2 = X

Step-by-step explanation:

This is because to follow pemdas you do the parenthesis first so you subtract both of the shorter sides. Next since there are two longer sides you divide by two to get the answer. Each longer side is equal to 36 inches.

Hope this helps

6 0
2 years ago
Find the value of X.
Vera_Pavlovna [14]

Answer:

x=16

Step-by-step explanation:

(4x+2)+(x+8)=90

5x+10=90

5x=80

x=16

3 0
3 years ago
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