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ziro4ka [17]
3 years ago
7

Suppose when you are 21 years old, you deposit $1,000 into a bank account that pays annual compound interest, and you do not wit

hdraw from the account until your retirement at the age of 65, 44 years later. How much more will be in your account if the interest rate is 6 percent rather than 4 percent
Business
2 answers:
yaroslaw [1]3 years ago
6 0

Answer:

$7368.96

Explanation:

For a Principal P invested at rate r over a period of n years.

Amount \: at \: Compound \: Interest= P(1+r)^n

In the case above,

P=$1000

n=44 years

At Rate,r=4%=0.04

Amount \: at \: Compound \: Interest= 1000(1+0.04)^{44}

= 1000(1.04)^{44}

= 5616.52 dollars

At Rate,r=6%=0.06

Amount \: at \: Compound \: Interest= 1000(1+0.06)^{44}

= 1000(1.06)^{44}

= 12985.48 dollars

The difference at 6% instead of 4%

=12985.48-5616.52

=$7368.96

Alekssandra [29.7K]3 years ago
3 0

Answer:

After 44year at interest rate of 6%

You will have $12,985.5 in your account

Explanation

Step one

Applying the compound interest formula we have A = P (1 + r/n)^nt

A = Final amount

r= nominal annual interest rate in percentage terms,

and n = number of compounding period

Where P = Principal

t= time in years

Given p=$1,000

n=44

r=6%

Step two

Inserting our given information

A=$1000 [(1 + 0.06/1)^44*1]

A=$1000 [(1.06)^44*1]

A=$1000*12.9854819127

A=$12,985.5

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Perfect Clean, Inc. provides housekeeping services. The following financial data have been provided.
ioda

Answer:

A) $38,650; 48.31%

Explanation:

The computation of the contribution margin and the contribution margin ratio is shown below:

Contribution margin = Service Revenue - Cleaning Supplies Used - wages expense

= $80,000 - $22,000 - $19,350

= $38,650

The variable cost is Cleaning Supplies Used + wages expense

And, the contribution margin ratio equals to

= (Contribution margin ÷ sales) × 100

= ($38,650 ÷ $80,000)  × 100

= 48.31%

7 0
3 years ago
Assume that salaried employees of Mayer, Inc., earn 2 weeks of vacation per year. The salaried employees earn a total of $160 ea
Dafna11 [192]

Answer:

Jan .7 Dr Vacation Benefits Expense $ 160

Cr To Vacation Benefits Payable $160

Explanation:

Journal entry for Mayer

Date Account Name Debit Credit

Jan .7

Dr Vacation Benefits Expense $ 160

Cr To Vacation Benefits Payable $160

( to record vacation pay expense.)

4 0
3 years ago
Read 2 more answers
Three contractors (call them a, b, and
patriot [66]

Answer:  The probabilities of winning a contract are

P(A) = \frac{28}{36}  

P(B) = \frac{7}{36}  

P(C) = \frac{1}{36}


Let the Probability of C winning the contract - P(C) be 'X'

Then,

Probability of B winning the contract - P(B) will be '7X'     and

Probability of A winning the contract - P(A) will be \mathbf{P(A) = 4 * P(B) = 4*7X = 28X}

Since the total of all the probabilities is 1,

\mathbf{P(A) + P(B) + P(C) =1}

\mathbf{28X + 7X + X =1}

\mathbf{36X =1}

\mathbf{X =\frac{1}{36}}

So,

P(A) = \frac{28}{36}

P(B) = \frac{7}{36}

P(C) = \frac{1}{36}

4 0
3 years ago
What is the cash flow equation?
aksik [14]
Cash flow=net income+non-cash expenses-increase in working capital.
4 0
3 years ago
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The cost for a carton of milk is $3, and it is sold for $5. When the milk expires, it is thrown out. You also know that the mean
svetlana [45]

Answer:

a) $3

b) $2

c) 1449

Explanation:

Given:

The cost for a carton of milk = $3

Selling price for a carton of milk = $5

Salvage value = $0        [since When the milk expires, it is thrown out ]3

Mean of historical monthly demand = 1,500

Standard deviation = 200

Now,

a) cost of overstocking = Cost  for a carton of milk - Salvage value

= $3 - $0

= $3

cost of under-stocking = Selling price - cost for a carton of milk

= $5 - $3

= $2

b)  critical ratio = \frac{\textup{cost of under-stocking }}{\textup{cost of overstocking + cost of under-stocking }}

or

critical ratio = \frac{\textup{2}}{\textup{3 + 2}}

or

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c) optimal quantity of milk cartons = Mean + ( z × standard deviation )

here, z is the z-score for the critical ration of 0.4

we know

z-score(0.4) = -0.253

thus,

optimal quantity of milk cartons = 1,500 + ( -0.253 × 200 )

= 1500 - 50.6

= 1449.4 ≈ 1449 units

4 0
3 years ago
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