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2 years ago

the ratio of boys to girls is 3 to 2. If there are 50 students in the chorus, how many are girls and how many are boys

Mathematics

2 answers:

Gekata [30.6K]2 years ago

7 0

There are 30 boys and 20 girls

Vlad [161]2 years ago

5 0

The first step is to determine how many units of 3 boys and 2 girls are in the class. This can be done by adding 3 and 2, which gives us 5, and dividing 50 by that number. This equates to 10.

Now we can multiply 10 by the respective numbers in the ratio for each total value.

10 x 3 = 30
10 x 2 = 20

Therefore the answers are 30 boys and 20 girls.

Hope this helps!

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For the following amount at the given interest rate compounded continuously, find (a) the future value after 9 years, (b) the

Stella [2.4K]

Answer:

(a) The future value after 9 years is $7142.49.

(b) The effective rate is $r_E=4.759 \:{\%}$ .

(c) The time to reach $13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of $P$ dollars is invested at a rate of interest $r$ compounded continuously for $t$ years, the compound amount is

$A=Pe^{rt}$

(a) From the information given

$P=4700$

$r=4.65\%=\frac{4.65}{100} =0.0465$

$t=9 \:years$

Applying the above formula we get that

$A=4700e^{0.0465\cdot 9}\\A=7142.49$

The future value after 9 years is $7142.49.

(b) The effective rate is given by

$r_E=e^r-1$

Therefore,

$r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}$

(c) To find the time to reach $13,000, we must solve the equation

$13000=4700e^{0.0465\cdot t}$

$4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88$

3 0

2 years ago

Jenna grabs a sample of trail mix from a bag. The mix contains peanuts, almonds, raisins, cashews, and chocolate chips. She want

Olegator [25]

Answer:

10 5 40

Step-by-step explanation:

if it is a sample and there are 5 diffrant things that is supposed to be in there, the 5 would be just rediculus, if it is 10, that would make more sense. 40, that would be more like the regular versian of it

hope this helps!!!

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2 years ago

Can somebody plz help me with surveys in math?

Gre4nikov [31]

What are the surveys??

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2 years ago

What is the prime factors of the numbers 48

Anna35 [415]

Answer:

24,12,6

Step-by-step explanation:

48 is even, so you can factor out 2, your first prime factor

8 0

2 years ago

Nvm i just got the question done

Alecsey [184]

Answer:

Answer

Step-by-step explanation:

You read the question and follow and like me.

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2 years ago