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pshichka [43]
2 years ago
9

A Super Happy Fun Ball is dropped from a height of 10 feet and rebounds 13/14 of the distance from which it fell. How many times

will it bounce before its rebound is less than 1 foot? It will bounce times before its rebound is less than 1 foot.
Business
1 answer:
Phantasy [73]2 years ago
3 0

Answer:

32

Explanation:

First bounce = 13 / 14 × 10 = 130 /14

using geometric progression where the common ratio = 13/14, the first bound = 130/14

ar^n-1 < 1

substitute the values into the equation

130 /14 × 13/14^(n-1) < 1

(13/14)^n-1 < 1÷ (130/14)

(13/14)^n-1 < 14 / 130

take log of both side

log (13 /14)^n-1 < log ( 14/130)

n-1 log (13 /14) < log  ( 14/130)

since log (13/14) negative

n-1 > (log( 14/130)) ÷ ( log (13/14)

n - 1 > 30.07

n > 30.07 + 1 > 31.07

The 32 bounce will the first less than 1 foot

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Benge Automotive issued a corporate bond with a face value of $1,000, with a 10% annual coupon rate paid semiannually. The bond
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Answer:

The answer is 8.90%

Explanation:

Solution

Given that:

The bond face value =$1000

Annual coupon rate =10%

Maturity rate =12 years

Price sold at =1080

Now we find the component cost of debt for use

Thus

The debt (cost) = Yield to maturity

So

YTM = Annual interest payment + [(Face value - Present price / Years to maturity] / [0.6(Price of bond) + 0.4 (principal payment)]

= $100 + [($1000 - $1080) / 12] / [0.6 * $1080 + 0.4 * $1000]

= $100 - 6.67 / $1048

= $93.33 / $1048

= 0.0890 or 8.90%

Therefore the debt for use is 8.90%

3 0
2 years ago
At the beginning of the year, Brick Makers had cash of $183, accounts receivable of $392, accounts payable of $463, and inventor
Pie

Answer:

amount of the net source $15

Explanation:Working\ capital= Current\ assets-Current\ liabilities

source\ of\ cash =[Cash+AR+Inventory]- [Amount\ Payable]

cash = $183

received amount = $392

inventory =$714

payable amounts =$463

current assest = (183+392+714)-463=$826

current liabilities =(167+682+409-447)=$811

cash = $167

received amount = $409

inventory =$682

payable amounts =$447

current liabilities =(167+682+409-447)=$811

Hence since current liabilities is more than current assests, therefore there will be loss of accounts

Hence source of cash= (826-811) = $15.

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3 0
2 years ago
Onslow Co. purchased a used machine for $178,000 cash on January 2. On January 3, Onslow paid $2,840 to wire electricity to the
IgorLugansk [536]

Answer:

A. Loss - $27,153

B. Gain - $7,847

C. Loss - $12,153

Explanation:

Machine’s value = $(178,000+2,840+1,160)

= 182,000

Since the machine is placed on January 3, depreciation of first year will be of 363 days.

Depreciation at the end of 1st year = ((182,000-14,000)/6) × (363/365) = $27,847

Depreciation of each following Year= (182,000-14,000)/6 = $28,000

Total Depreciation at the end of fifth year= $27,847+(28,000×4) = $139,847

Therefore, Book Value of machine at the end of fifth year = $(182,000-139,847) = $42,153

REQUIREMENT - A:

Loss due to disposal of machine

= $(42,153-15,000) = $27,153

Journal entry:

Cash Dr 15,000

Loss Dr 27,153

Accumulated Depreciation Dr 139,847

Machine Cr 182,000

Loss from the sale of non-current asset is alwyas debit.

Requirement - B

Gain from the sale of machines = $(50,000-42,153) = $7,847

Journal Entry:

Cash Dr 50,000

Accumulated Depreciation Dr 139,847

Gain Cr 7,847

Machine Cr 182,000

Gain from the disposal of assets is an income, therefore it is credit. It is an other income. As the disposal occurs at a good cash value, there is a gain.

Requirement C:

Again, Book Value = $42,153,

Cash = $30,000

Loss from proceed from the sale of machine = $(42,153 - 30,000) = $12,153

Cash Dr 30,000

Loss Dr 12,153

Accumulated Depreciation Dr 139,847

Machine Cr 182,000

Loss from the sale of non-current asset is alwyas debit.

4 0
2 years ago
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