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Strike441 [17]
4 years ago
5

Find the sum and product of each of these pairs of numbers. Express your answers as a base 3 expansion. Hint: We can just add an

d multiply using the grade-school algorithms (working column by column starting at the right), using the addition and multiplication tables in base three (for example, 2 + 1 = 10 and 2 · 2 = 11). When a digit-by-digit answer is too large to fit (i.e., greater than 2), we "carry" into the next column. (10 points) (112)3, (210)3
Engineering
1 answer:
Arlecino [84]4 years ago
8 0

Answer:

112_3 + 210_3 = 1022_3

112_3 \times 210_3 = 101220_3

Explanation:

To find the sum of the two numbers, start summing from the right most numbers.

right most: 2 + 0 = 2

middle: 1 + 1 = 2

left: 1 + 2 = 3. Converting 3 to base 3, we have 1 r 0 = 10.

Therefore, 112_3 + 210_3 = 1022_3.

To find the product, simply do

(0 \times 112) + (1 \times 112) + (2 \times 112)\\ = 000 + 112 + 1001 = 101220.

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Determine the depreciation expense for 2018 and 2019 using the following​ methods: (a)​ Straight-line (SL),​ (b) Units of produc
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Answer:

Check Explanation.

Explanation:

(1). The straight-line method: the general clue with this method is that in the two years, depreciation is the same. The formula for Calculating depreciation is given below;

straight-line method = (cost - Residual value)/ useful life in years.

From the question we know that the cost of acquisition is $30,000,000, the residual value of the asset is $4,000,000 and useful life is 7 years. Therefore;

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(2).Units of production​ (UOP) = (cost - Residual value)/ useful life in units.

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Units of production​ (UOP) = $6 per mile.

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depreciation in 2019 = Depreciation per unit × 2019 year usage.

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Double-declining-balance​ (DDB)= (cost - accumulated depreciation) × 2 × 1/(useful life years).

Double-declining-balance​ (DDB) = (30,000,000 - 0)× 2 × (1/7).

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= $8,571,428.6 depreciation in 2018

Double-declining-balance​ (DDB) = (30,000,000 - 8,571,428.57) × 2 × 1/7.

= $6,122,449.00 depreciation in 2019.

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

Total depreciation for straight-line method(2018 and 2019) = $7,428,571.42.

Total depreciation for Units of production​ (UOP)(2018 and 2019) = $13,800,000.

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Answer:

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Optimal

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RS e c b e a g d c e g d a

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