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Murrr4er [49]
1 year ago
10

A company will need 1.8 million 5 years from now to replace some equipment. Currently, the firm has some extra cash and would li

ke to establish a savings account for this purpose. The account pays 5.25 percent interest, compounded annually. How much money must the company deposit today to fully fund the equipment purchase?
Mathematics
1 answer:
Nezavi [6.7K]1 year ago
5 0

Given:

a.) A company will need 1.8 million 5 years from now to replace some equipment.

b.) The account pays 5.25 percent interest, compounded annually.

We will be applying the Compounded Interest Formula:

\text{ A = P\lparen1 + }\frac{r}{n})^{nt}

Where,

A=final amount

P=initial principal balance/money to initially deposit

r=interest rate (decimal)

n=number of times interest applied per time period

t=number of time periods elapsed (in years)

In this scenario, we are asked what is the amount of principal balance/initial deposit to make to get 1.8 million in 5 years.

Annually = n = 1

We get,

\text{ 1,800,000 = P\lparen1 + }\frac{\frac{5.25}{100}}{1})^{(1)(5)}1,800,000\text{ = P \lparen1 + 0.0525\rparen}^5\text{ = P \lparen1.0525\rparen}^5\text{ P = }\frac{1,800,000}{(1.0525)^5}\text{ P = 1,393,676.5175887556 }\approx\text{ 1,393,676.52}

Therefore, the answer is 1,393,676.52

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Answer:

<em>1. use fractions </em>

3/4+4/4= 7/4

<em>2. use decimals</em>

0.75+1.00= 7/4

<em>3. find equivalent fractions</em>

3/4= 75/100

4/4= 100/100

75/100+100/100= 175/100

6 0
3 years ago
anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board. two students
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Probability that he will choose debbie and esther as the two representatives is 1/20 .

<h3>What is the meaning of Probability ?</h3>

Probability is the stream in mathematics in which likeliness of an event to happen is studied.

The range of probability lies between 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.

It is given that anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board.

two students will be selected, and they will alternate attending the school board meetings.

all five students are equally well qualified, so the school superintendent decides to draw names at random.

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Probability of chosing debbie is 1/5

Probability of choosing Esther is also 1/5

Either of them if chosen first the probability is 1/5

and the either of them chosen second the probability is 1/4

Probability that he will choose debbie and esther as the two representatives = (1/5)*(1/4) = 1/20 .

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6 0
2 years ago
there are 6 elementary schools in district. each school has 412 students. how many students in all are in the district? Solve th
kiruha [24]

Answer:

2472 students

Step-by-step explanation:

<u>What we know:</u>

- There are 6 schools

- Each school has 412 students

<u>What we're trying to solve:</u>

How many students are there altogether?

To find this, we multiply 412 by 6. Doing this is essentially the same as adding 412 to itself 6 times for each school there is in the district.

412 students × 6 schools

= 2472 students

Therefore, there are 2472 students in the district.

I hope this helps!

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3 years ago
Beth won 86 pieces of gum playing hoops at her school’s game night. Later, she gave three to each of her friends. She only has 2
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Answer:

That's a very dumb question, because some of her friends could be fakers and users. But, I'll answer it.

86 subtracted by 2 is 84.

It says she gave 3 to each friend so:

84 divided by 3 is 28.

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3 years ago
The sum of two numbers is 44. The second number is 4 less than three times the first number. Let x represent the first number an
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Answer:

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Step-by-step explanation:

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