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zhenek [66]
3 years ago
12

Find the periodic payments PMT necessary to accumulate the given amount in an annuity account. (Assume end-of-period deposits an

d compounding at the same intervals as deposits. Round your answer to the nearest cent.) $30,000 in a fund paying 2% per year, with monthly payments for 10 years
Business
1 answer:
ikadub [295]3 years ago
3 0

Answer:

$ 226.04

Explanation:

Given:

Paying fund, FV = $ 30000

Interest rate, i = 2%

Time, t = 10 years

Now,

\textup{PMT}=\textup{FV}[\frac{i}{(1+i)^n-1}]

since, the payment is made monthly

thus,

n = 10 × 12 = 120 months

i = 2% / 12 = 0.02 / 12

on substituting the values in the above equation, we get

PMT={30000}[\frac{\frac{0.02}{12}}{(1+{\frac{0.02}{12}})^{120}-1}]

or

PMT = $ 226.04

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Bank customers should reconcile their records frequently with ________ to prevent their checks from ________.
maxonik [38]
Bank customers should reconcile their records frequently with bank statements to prevent their checks from bouncing. They should frequently check the record of their balance in the account and the transactions being made to make sure that th checks they issue will still be valid.
3 0
3 years ago
Selected data from Emporia Company follow: Balance Sheets As of December 31 2018 2017 Accounts receivable $ 600,000 $ 480,000 Al
svet-max [94.6K]

Answer:

Compute the accounts receivable turnover for 2018.

4.29 times

Compute the inventory turnover for 2018

3.6 times

Compute the net margin for 2017.

24.58%

Explanation:

Compute the accounts receivable turnover for 2018.

accounts receivable turnover = Sales / Accounts receivable

                                                  =  $ 2,400,000 / $ 560,000

                                                  = 4.29 times

Compute the inventory turnover for 2018

Inventory turnover = cost of Sales / inventory

                                = $1,800,000 /  $ 500,000

                                = 3.6 times

Compute the net margin for 2017.

net margin = Net Profit / Sales × 100

                  = (2,400,000-1,810,000) / 2,400,000  × 100

                  = 24.58%

3 0
3 years ago
A student has 4 mangos, 2 papayas, and 3 kiwi fruits. if the student eats one piece of fruit each day, and only the type of frui
Tom [10]

There are 210 ways that he can consume fruits. This can determined using the concept of factorial in mathematics.

Factorial, in mathematics, the product of all positive int or numbers less than or equal to a given positive int or number and denoted by that integer and an interjection point. therefore, factorial seven is written seven!, meaning one × 2 × 3 × 4 × 5 × six × seven.

Factorial zero is defined as equal to one.

Here, we have given the student has three mangoes, two papayas and two kiwi fruits.

so in total he has (3 plus 2 plus 2) =7 fruits.

Let all the fruits be eaten. If he eats one fruit each day then it will take seven days to complete this process.

So according to one popular permutation type where , n=7, n1(mangoes)=3,  n2(papayas)=2,  n3(kiwi)=2.

Using factorial, number of ways =7!/(3!2!2!) =210

Learn more about factorial here:

brainly.com/question/25997932

#SPJ4

4 0
1 year ago
Our basketball team has finished $80\%$ of its season, during which we won $40\%$ of the games we played. What percent of the re
masya89 [10]

Answer:

90%

Explanation:

Let x be the total number of matches,

Given,

80% of games were finished,

So, the number of finished games = 80% of x = 0.8x

∴ Remained games= x - 0.8x = 0.2x

Now, 40% of 80% of games were won,

So, the winning games in 0.8x matches = 40% of 0.8x

= 0.4 × 0.8x

= 0.32x

In order to finish games with the same number of wins as losses,

Winning percentage in all games must be 50%,

Thus, the total winning games = 50% of x = 0.5x

Let y be the winning percentage in 0.2x games,

So, the total winning games in 0.2x games = \frac{y\times 0.2x}{100}

∵ Number of winning matches in 80% games + number of winning matches in 20% = total winning matches

⇒ 0.32x + \frac{0.2xy}{100}= 0.5x

\frac{0.2xy}{100}=0.18x

0.2y=18

\implies y=90

Hence, the percent of winning the in the remaining games must be 90%.

6 0
3 years ago
You own a coal mining company and are considering opening a new mine. The mine will cost $120 million to open. If this money is
GalinKa [24]

Answer: B. There are two IRRs so you cannot use the IRR as a criterion for accepting the opportunity.

Explanation:

The Internal Rate of Return can be useful in capital budgeting to enable a company know if an investment will be profitable. It is defined as the discount rate that causes the Net Present Value(NPV) to be zero. If the IRR is greater than the required return then the project should be accepted as it will have a profitable NPV.

IRR has some problems however and one of them is reflected here. There can sometimes be two IRRs and when this happens, using IRR as a viability measure cannot be done because a single rate is needed for comparison with the required return.

4 0
3 years ago
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