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Andreyy89
3 years ago
8

How long will it take your money to triple if you receive 10% return on your money, compounded annually?

Business
1 answer:
vovangra [49]3 years ago
8 0

Answer:

11.6 years

Explanation:

When we are trying to determine how long will it take an investment to double using compound interest, the simplest way is to use the rule of 72. But the problem is that it doesn't work very well with odd numbers.

So we have to use math:

FV = PV (1 + r)ⁿ

PV = X     and  FV = 3X

3X = X(1 + 10%)ⁿ

3 = (1 + 0.1)ⁿ

log 3 = log 1.1ⁿ

log 3 = n x log 1.1

n = log 1.1 / log 3

n = 11.6 years

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The number of minorities in the workforce is _____. a. diminishing b. increasing c. unchanging d. decreasing
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Option b (increasing) is the correct choice.

Explanation:

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The remaining three options are not relevant to the situation in question. It should be the correct solution to the above.

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3 years ago
An investment banking firm has been hired to roll up various partnerships into one master limited partnership. What is the compe
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Answer:

2%

Explanation:

Based on the industry standards and regulations, an investment banking firm or a broker-dealer canvassing the agreements from limited partners in relation to a roll-up is outrightly limited to compensation of 2% of the value of the newly created securities.

Therefore, the correct answer, in this case, is that the compensation limit for this activity is pegged at 2 percent

3 0
3 years ago
1. What is the revised net operating income if unit sales increase by 16%? 2. What is the revised net operating income if the se
weeeeeb [17]

Answer:

1) NOI = $90,240

2) NOI = 29,250

3) NOI = 133,260

4) NOI = 110,190

Explanation:

<em>The question is incomplete.</em>

<em />

<em>Sales (38,000 units)      $342,000     ($9.00 per unit)</em>

<em>Variable expenses        $228,000     ($6.00 per unit)</em>

<em>Contribution margin        $114,000     ($3.00 per unit)</em>

<em>Fixed expenses                $42,000 </em>

<em>Net operating income      $72,000</em>

1. What is the revised net operating income if unit sales increase by 16%

If unit sales increase, we can calculate this with a 16% increase in the contribution margin.

NOI=CM*(1+0.16)-FE=114,000*1.16-42,000=132,240-42,000\\\\NOI=90,240

2. What is the revised net operating income if the selling price decreases by $1.50 per unit and the number of units sold increases by 25%?

A reduction of $1.50 in price means a reduction of the same amount in the contribution margin per unit (CMu), as the variable expenses stay the same .

Also, the contribution margin increases by 25%, for the increase in units sold (q).

NOI=CM_u*q-FE=(3.00-1.50)*(38,000*1.25)-42,000\\\\NOI=1.5*47,500-42,000=71,250-42,000\\\\NOI=29,250

3. What is the revised net operating income if the selling price increases by $1.50 per unit, fixed expenses increase by $6,000, and the number of units sold decreases by 6%?

The selliing price will be added to the contribution margin per unit.

The units sold are increased 6%.

NOI=CMu*q-FE=(3.00+1.50)*38,000*1.06-(42,000+6,000)\\\\NOI=4.5*40,280-48,000=181,260-48,000\\\\NOI=133,260

4. What is the revised net operating income if the selling price per unit increases by 20%, variable expenses increase by 30 cents per unit, and the number of units sold decreases by 11%?

The contribution margin per unit, with a increase in price and an increase in variable cost, becomes:

CM_u=P-VE_u=9.00*(1.20)-(6.00+0.30)=10.80-6.30=4.50

The units sold is now:

q'=(1-0.11)q=0.89q=0.89*38,000=33,820

Then, the net operating income becomes:

NOI=CM_u*q-FE=4.5*33,820-42,000=152,190-42,000\\\\NOI=110,190

5 0
3 years ago
The period manufacturing costs of a company is comprised of $2,000,000 in direct materials, $1,000,000 in direct labor, and $500
shutvik [7]

Answer:

The Direct material cost per unit is = 285.714 per unit

The  Direct labor per unit is= 142.857 per unit

The Overhead cost per unit is  = 71.4285 per unit

Explanation:

Solution

We recall that:

The total direct material= $2000000

The total direct labor= $1000000

The units in products = 7000 units

The total Overheads= $500000

Now,

The direct materials on machinery is = $ 800,000(40%)

The direct labor on machinery  is= $ 600,000(60 %)

The machinery on overheard  is = $ 250,000(50 %)

The direct materials on assembly is  = $ 1200,000

The Direct labor on assembly is  = $ 400,000

The Overhead on assembly  is = $ 250,000

Thus,

The hybrid manufacturing cost statement is represented or shown below

Particular   Machinery (40%)in $     Assembly (60%)in $  Total in $

Now,

Particular = Direct material,

Machinery (40%)in $  = 800000

Assembly 60% in $ = 1200000

Total in $ =2000000

Grand total = 1650000

Particular = labor

Machinery (40%)in $  = 600000

Assembly 60% in $  = 400000

Total in $ = 1000000

Grand total = 1850000

Particulars = Overhead

Machinery (40%)in $ =250000

Assembly 60% in $ = 250000

Total in $ = 500000

Grand total = 3500000

Thus,

The Direct material cost per unit = 2000000/7000 = 285.714 per unit

The  Direct labor per unit = 1000000/700 = 142.857 per unit

The Overhead cost per unit = 500000/7 = 71.4285 per unit

3 0
2 years ago
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