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kirill115 [55]
3 years ago
14

You just won $30,000 and deposited your winnings into an account that pays 3.9 percent interest, compounded annually. how long w

ill you have to wait until your winnings are worth $75,000? 22.29 years 25.00 years 23.95 years 21.24 years 22.67 years
Business
1 answer:
ruslelena [56]3 years ago
7 0
For this case we have an equation of the form:
 y = A * (b) ^ x

 Where,
 A: initial amount
 b: growth rate
 x: number of years
 Substituting values we have:
 y = 30000 * (1,039) ^ x

 By the time the earnings increase to 75000 we have:
 75000 = 30000 * (1,039) ^ x

 From here, we clear x:
 (1,039) ^ x = (75000/30000)

log1.039 ((1.039) ^ x) = log1.039 ((75000/30000))


 x = log1.039 ((75000/30000))

x = 23.95 years
 Answer:
 
you will have to wait until 23.95 years your winnings are worth $ 75,000
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Western Inc. purchases a machine for $70,000. This machine qualifies as a five-year recovery asset under MACRS with the fixed depreciation percentages- <u>the cash flow from disposal is $46720</u>

Explanation:

Given that  the four-year sale is at $50,000.

we know that the book value of the machine must be established in order to determine if a gain or loss has been incurred at disposal.

The depreciation schedule for the $70,000 machine is: given as

Year 1: $70,000 &times; 0.2000 = $14,000

Year 2: $70,000 &times; 0.3200 = $22,400

<u>Accumulated Depreciation </u>= $14,000 + $22,400 = $36,400

<u>Book Value of machine </u>= $70,000 - $36,400 = $33,600

<u>Gain on disposal is</u> $50,000 - $33,600 = $16,400

Tax on Gain = Gain on disposal &times; Tax rate = $16,400 &

times; 0.20 = 20% of $16,400=20/100*16400=3,280

<u>After-Tax Cash Flow at disposal</u> = $50,000 - $3,280 = $46,720

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As the owner of La Boulangerie Bakery in Baton Rouge, Louisiana, you have a devoted clientele savoring your delicacies. Your sal
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Answer:

La Boulangerie Bakery,

Baton Rouge,

Louisiana, U.S.A

25th April, 2021

Dear esteemed customers,

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As you can bear witness to, there has been a drastic increase in the cost of doing business in our industry with the notable changes being in the wheat used in producing our confectioneries, the sugar as well as the rising cost of transportation to various customers' locations.

Taking this into account, our company decided to introduce a flat rate delivery cost of $20 irrespective of the location of our customers. This would help us to minimize our production cost. Inorder to also consider our customers, there is a free 20 pieces cake (box) offered to every customer who buys 50 box of each product. This means, 50 box of cupcakes earns you one box free, 100 box cupcake purchase earns you 2 free boxes.

I do hope you would understand our challenges as a company and bear with us regarding to this delivery charge introduction.

Sincerely,

Maris Albert (For the company)

Explanation:

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Christy spent $500 over her budget on gifts during the holidays. in addition to her regular job, she took a part-time job at the
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5 weeks 500/(12x10) =4ish then round up
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The one-year forward rate of the British pound is quoted at $1.63, and the spot rate of the British pound is quoted at $1.60. Th
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Answer:

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The forward rate is the rate of interest that is applicable or applied to the financial transaction, which will happen in the near future.

The percent is computed as:

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where

Spot rate is $1.60

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Putting the values above:

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If we were able to invest a Gradient = $100 at the end of each year for 7 years at 6% interest (i.e., So at the end of year 1, $
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Answer:

We can withdraw an equivalent annuity of  $ 293.658 each year.

Explanation:

We build a scheduled table to know the future value of the gradient investment

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1  $100.00   $100.00  $100.00           0.060   $106.00

2  $106.00   $100.00   $206.00   0.060   $218.36

3  $218.36   $200.00   $418.36   0.060   $443.46

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6  $1,259.36   $500.00   $1,759.36   0.060   $1,864.92

7  $1,864.92   $600.00   $2,464.92   0.060   $2,612.81

Then, we solve for the equivalent annuity-due:

PV \div \frac{1-(1+r)^{-time} }{rate}(1+rate) = C\\

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time 7

rate 0.06

2612.81 \div \frac{1-(1+0.06)^{-7} }{0.06}(1+0.06) = C\\

C  $ 293.658

Itis annuity due as we will going to retire cash in a 6 year period for  seven times. (at each year-end during 6 years thus, annuity-due

1st      2nd     3rd   4th    5th    6th   7th

/-------/-------/-------/-------/-------/-------/-------/

         1       2       3        4      5        6       7

3 0
2 years ago
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