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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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alexgriva [62]

Answer:

The claim cannot be true because any probability is between 0 and 1

Step-by-step explanation:

Probability is a concept used to mathematically provide a measure or determine the possibility that an event will occur. However, due to the nature of upcoming events, it is almost impossible to predict some events with absolute certainty, therefore, the chance of an event can be predicted based on the likelihood of the event occurring with probability values ranging from 0 to 1 or 0% to 100%. Where a value of 0 or 0% shows that it is certain that the event will not occur, while 1 or 100% indicates that it absolutely certain that an event will occur.

6 0
3 years ago
A vat with 700 gallons of beer contains 4% alcohol (by volume). Beer with 6% alcohol is pumped into the vat at a rate of 7 gal/m
dolphi86 [110]

Answer:

5.2%.

Step-by-step explanation:

After 1 hour (60 / 100) * 700 = 420 gallons of beer have been exchanged.

So we have 420 gallons of 6%  and 280 gallons of 4% after 1 hour.

So the strength at that time =  (420* 6) + 280*4) / 700

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3 years ago
Reggie’s bank is offering a checking account for anyone who has more than 1000. He deposits 3200 into the account at a rate of 4
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5 0
3 years ago
If E F = 7 , A C = 16 , and A F = 9
Vilka [71]

Answers:

CB = 14

GF = 8

FB = 9

EF is parallel to CB

====================================

Explanations:

Points E and F are midpoints of their respective sides. They form the midsegment EF. Because EF is a midsegment, A midsegment is half the length of its parallel counterpart, so CB is two times longer than EF. If EF is 7 units long, then CB = 2*EF = 2*7 = 14

For similar reasons, GF is parallel to AC. If AC = 16, then half of that is GF = (1/2)*AC = 0.5*16 = 8.

FB = FA = 9 as these segments have the same single tickmark to indicate they are the same length

EF is parallel to CB because EF is a midsegment, and this is one of the properties of being a midsegment. We can show that quadrilateral EGBF is a parallelogram to help prove this.

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4 years ago
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