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How many years would it take for money to increase to 3 times the initial amount at an interest rate of 18% per year?

arlik [135]

Answer:

7 years (to the nearest year)

Explanation:

Given that;

A = amount

P= principal

t = time

r = rate

A =3P(given in the question)

Formula for compound interest;

A = P(1 + r)^t

Substituting values;

3P = P(1 + 18/100)^t

3P/P= (1.18)^t

3 = (1.18)^t

log 3 = t log 1.18

t = log 3/log 1.18

t = 0.4771/0.0719

t = 6.6 years

t = 7 years (to the nearest year)

3 0

2 years ago

Sue sells authentic Amish quilts on her website. Suppose Sue expects to sell 3 comma 000 quilts during the coming year. Her aver

e-lub [12.9K]

Answer:

(A) 1,200 Margin of Safety_{units}

(B) 330,000 Margin of Safety_{usd}

(C) Margin of Safety 40% of Sales

Explanation:

(A)

$Sales \: Revenue - Variable \: Cost = Contribution \: Margin$

275 - 150 = 125 CM per unit

$\frac{Fixed\:Cost}{Contribution \:Margin} = Break\: Even\: Point_{units}$

$\frac{225,000}{125} = 1,800 = Break\: Even\: Point_{units}$

${units \: sold- BEP_{units} = margin \: of \: safety_{units}$

3,000 - 1,800 = 1,200 Margin of Safety_{units}

HOW? we Calculate the contribution per unit. Then the BEP in units and with that the margin of safety in units.

(B)

$\frac{Contribution Margin}{Sales Revenue} = $Contribution Margin Ratio$

125/275 = 0.45454545 = 5/11 CM ratio

$\frac{Fixed\:Cost}{Contribution \:Margin \:Ratio} = Break\: Even\: Point_{dollars}$

225,000/(5/11) = 495,000 BEP USD

${current \:sales - BEP_{USD} = margin \: of \: safety$

825,000-495,000 = 330,000 Margin of Safety_{usd}

HOW? we Calculate the contribution ratio by dividing CM over sales. Then the BEP in dollars and with that the margin of safety in dollars.

Important: When posible to avoid rounding errors express as fraction iof posible

(C)

$\frac{current \:sales - BEP_{USD}}{current \:sales} \times 100 = margin \: of \: safety$

$\frac{330,000}{825,000} \times 100 = margin \: of \: safety$

Margin of Safety 40%

8 0

2 years ago

If a taxpayer does not have enough taxes withdrawn from her paychecks throughout the year to equal the total tax she is required

polet [3.4K]

Answer:

$209

Explanation:

Since Mary's estimated annual income taxes are $5,424, then to determine the amount that should be withheld every two weeks, all we need to do is divide her total estimated taxes by 26 weeks = $5,424 / 26 weeks = $208.62 ≈ $209. generally you do not include cents in tax filings or payments, you need to round up or down. In this case you need to round up, even software rounds the amounts to the nearest dollar.

6 0

3 years ago

Read 2 more answers

Buffalo National Corp. (BNC) is currently an all-equity firm worth $320 million with 50 million common shares outstanding. BNC p

balu736 [363]

Answer:

The solution as per the given problem is provided below throughout the explanation portion below.

Explanation:

The given values are:

Debt issued,

= 120

Pretax earnings,