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bonufazy [111]
3 years ago
10

There are some students playing soccer. Five students decided to join the game and now there are twenty-two students playing soc

cer. How many students were originally playing soccer?
Mathematics
1 answer:
ella [17]3 years ago
3 0

Answer:

17 students

Step-by-step explanation:

Given:

There are some students playing soccer.

Five students decided to join the game and now there are twenty-two students playing soccer.

Question asked:

How many students were originally playing soccer?

Solution:

Let initially number of students playing soccer = x

As given,

<u>After joining 5 more students, there are 22 students playing soccer, the equation will be:-</u>

x+5=22

Subtracting both side by 5

x+5-5=22-5\\x=17\ students

Hence, 17 students were originally playing soccer.

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Account A and Account B both have a principal of $2,000 and an annual interest rate of 2%. No additional deposits or withdrawals
GuDViN [60]

Answer:

Account B earns more interest.

After 20 years, account B will have earned $171.89 more.

Step-by-step explanation:

Let's calculate the total for each account.

Account A:

Account A earns simple interest. We know that the principal value is $2000 and the interest rate is 2% or 0.02. We can use the simple interest formula:

A=P(1+rt)

Where A is the future value, P is the principal, r is the rate, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, and 20 for t. This yields:

A=2000(1+0.02(20))

Multiply and add:

A=2000(1+0.4)=2000(1.4)

Multiply. So, the total amount of money in Account A after 20 years is:

A=\$2800

Since we initially deposited $2000 and our total is now $2800, this means that we earned an interest of 2800-2000=\$ 800

Account B:

Account B earns compound interest. Like Account A, Account B has a principal value of $2000 and the interest rate is 2% or 0.02. We also know that it's compounded annually, so once per year. We can use the compound interest formula:

B=P(1+\frac{r}{n}})^{nt}

Where B is the future value, P is the principal, r is the rate, n is the times compounded per year, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, n for 1 (since it's compounded annually), and t for 20. This yields:

B=2000(1+\frac{0.02}{1})^{(1)(20)}

Simplify this to acquire:

B=2000(1.02)^{20}

Evaluate. Use a calculator. So, after 20 years, the amount of money in Account B is:

B\approx\$2971.89

Since our principal was $2000, this means that we earned an interest of approximately  2971.89-2000=\$ 971.89.

So, Account A earned an interest of $800 and Account B earned an approximate interest of $971.89.

So, Account B earned more interest.

And it earned 971.89-800=\$ 171.89 more than Account A.

And we're done!

5 0
3 years ago
wendy is logging the number of video game levels she wins per hour. she has determined the function to be f(x) = 6x + 9, where x
True [87]
Since we are talking about real quantities (hours), x should be positive. Also, you need to take into account that Wendy needs to play in order to win game levels.
Therefore the domain will be: x > 0
5 0
3 years ago
20 POINT TO THE FIRST ANSWER + BRAINLIEST!!!
love history [14]
The cost of aquiring the source is high, i believe
3 0
3 years ago
You own an accessories store, and sales last month were $24,000. You had $3,500 in discounts and $975 in returns.
Len [333]

Answer:

The net sales for last month were <u>$19,525</u>.

Step-by-step explanation:

Given:

Last month sales were $24,000.

Discounts is $3,500 and $975 in returns.

Now, to get the net sales for last month.

So, we deduct the discount:

<em>Sales - discounts</em> = \$24,000 - \$3,500 =\$20,500.

Then, we deduct the returns from the remaining amount:

<em>Sales after discounts - returns</em> = \$20,500 - \$975

                                                   = \$19,525.

Therefore, the net sales for last month were $19,525.

7 0
3 years ago
How to find the length
Zinaida [17]

Answer:

1.  √32

2.  4

3.  5

4.  √29

5.  √10

6.  5√2

Step-by-step explanation:

Use Pythagoras

4 0
3 years ago
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