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natta225 [31]
3 years ago
5

You are planning your retirement in 15 years. You plan to retire with $3,000,000 and your retirement account earns 4.8% compound

ed monthly. After you retire, you plan on withdrawing $15,000 per month from your account until you have nothing left. How many years can you live off your retirement account after you retire?
Business
1 answer:
Maslowich3 years ago
6 0

Answer:

The retirement fund will last for 33 years and 7 months

Explanation:

We need to solve for time in an ordinary annuity

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

C  $15,000.00

rate 0.004 (4.8% divide by 12 month)

PV $3,000,000

time n

15,000 \times \frac{1-(1+0.004)^{-n} }{0.004} = 3,000,000\\

we clear for n as much as we can and solve

(1+0.004)^{-n}= 1-\frac{3,000,000\times0.004}{15,000}

(1+0.004)^{-n}= 0.20

now we use logarithmic properties to solve for n:

-n= \frac{log0.2}{log(1+0.004)

-403.16  

this will be a value in months so we divide by 12 to get it annually

403/12 = 33,5833

we convert the residual to months:

0.5833 x 12 = 6.996 = 7 months

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Answer:

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8 0
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Why must we always boil our drinking water during and after a cyclone has passed ​
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4 0
3 years ago
A trading arrangement that eliminates most or all barriers to trade among participating nations and utilizes common barriers to
Katen [24]

Answer:

preferential trade agreement

Explanation:

This agreement is known as a preferential trade agreement. It is called this because it tends to make it easier for specific goods to be traded but only to the countries that are part of the group and/or agreement. This agreement also makes it harder for countries that are not part of the agreement to be able to trade with the countries that are in order to maintain the countries within the agreement trading with each other.

4 0
3 years ago
The Carla Vista Acres Inn is trying to determine its break-even point during its off-peak season. The Inn has 50 rooms that it r
SashulF [63]

<u>Solution and Explanation:</u>

 Breakeven point = Fixed cost divide by Contribution margin

Contribution margin = Sales minus Variable cost.

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Salaries                  $5000

Utilities                   $1100

Depreciation   $1200

Maintenance   $780

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Contribution = $40 minus $20 = $20.

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8 0
3 years ago
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Margarita [4]

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Explanation:

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3 0
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