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ddd [48]
3 years ago
13

There are 1800 students in a school, and 540 of them do not take part in sports activities. Of these students who do not take pa

rt, 5/9 are girls. There are 2/3 as many girls as boys in the school. How many boys take part in sports activities?
Mathematics
1 answer:
torisob [31]3 years ago
7 0
Total students = 1800
Number of students who did not take part = 540
Number of students who took part = 1800 - 540 = 1260

Number of students who did not take part = 540
Number of girls = 5/9 x 540 = 300
Number of boys = 540 - 300 = 240

2/3 as many girls as boys. ∴ ratio of girls to boys = 2:3
1800 ÷ 5 = 360
Number of girls = 360 x 2 = 720
Number of boys = 360 x 3 = 1080

Number of boys who took part = 1080 - 240 = 840

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3 years ago
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Using compound interest and continuous compounding, it is found that Lincoln would have $15,856 more in his account than Eli.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
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  • r is the interest rate(as a decimal value).
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Hence, for Lincoln, we have that the parameters are as follows:

P = 49000, r = 0.06125, n = 365, t = 20.

Hence the amount will be of:

A_L(t) = P\left(1 + \frac{r}{n}\right)^{nt}

A_L(20) = 49000\left(1 + \frac{0.06125}{365}\right)^{365 \times 20}

A_L(20) = 166787

<h3>What is continuous compounding?</h3>

The amount is given by:

A(t) = Pe^{rt}

For Eli, we have that r = 0.05625, hence the amount will be given by:

A(t) = Pe^{rt}

A_E(20) = 49000e^{0.05625 \times 20} = 150931

<h3>What is the difference?</h3>

It is given by:

D = A_L(20) - A_E(20) = 166787 - 150931 = 15856

Lincoln would have $15,856 more in his account than Eli.

More can be learned about compound interest at brainly.com/question/25781328

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