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nika2105 [10]
1 year ago
10

Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decide

s to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?
Mathematics
1 answer:
statuscvo [17]1 year ago
7 0

The formula can be used to determine how many students are required to earn $1,500 in profit.t:

5.n - 100 - 200 = 1500.

<h3>What is linear equation?</h3>

An equation is deemed to be linear if a variable's maximum power consistently equals 1. Another name for it is a one-degree equation. The form of the linear equation Ax + B = 0 is standard for one-variable linear equations. In this instance, as well as A are variables while B is a constant.

Ax + By = C is the standard form of a two-variable linear equation. This equation contains the variables x and y, the coefficients Both a B, as well as the constant C.

<h3>According to the given data:</h3>

Given that the no. of students is n.

DJ charge - $200 Decorations cost - $100

Charge each student should pay - $5.00

Therefore the equation that find the no. of students to make a profit of $1,500.5.n - 100 - 200 = 1500

To learn more about linear equation visit:

brainly.com/question/2030026

#SPJ9

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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
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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
3 years ago
Match the missing term with the perfect square trinomial 9X^2+?+25<br> 49<br> 6x<br> 36<br> 30x
Igoryamba
9x^2+t+25=(ax+b)^2

9x^2+t+25=a^2*x^2+2abx+b^2 so

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b^2=25 so b=5 then

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So the missing term is 30x
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alexira [117]
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harkovskaia [24]
Actually, this answer would be true. Why?

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The second is: a(sub 1)=8 ; a(sub <em>n</em>)= a(sub <em>n</em>-1)+5
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Hope this helped! I know it's a bit on the late side, but at least you can get the general idea!
8 0
4 years ago
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