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3 years ago

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Tickets to the concert were 2.50 for adults and $1 for students. $1200 was collected and 750 tickets were sold. Write a system o

f linear equations that can be used to find how many adults and how many students attended. How many students attended?

2 answers:

serious [3.7K]3 years ago

4 0

Answer:

300 adults and 450 students

Step-by-step explanation:

We can set-up a system of equations to find the number of adults. We know students and adults attended. We will let s be the number of students and a be the number of adults. Since 750 people attended, then s+a=750.

We also know they made $1200 and adult tickets cost $2.50 and student tickets cost $1. We can write 1s+2.5a=1200.

We will solve by substituting one equation into the other. We start by solving the first equation for c. s+a=750 becomes s=750-a.

Now we substitute s=750-a into 1s+2.5a=1200. Simplify and isolate the variable a.

1(750-a)+2.5a=1200
750-a+2.5a=1200
750+1.5a=1200
750-750+1.5a=1200-750
1.5a=450
a=300

This means that 300 adults attended and 450 students attended since 300+450=750.

yKpoI14uk [10]3 years ago

3 0

Answer:

Step-by-step explanation:

0 all triangles must add up to 180 degrees.

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pickupchik [31]

Answer:

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Step-by-step explanation:

From the question we are told that:

Waiting time for a container of the wheels during production $T_w=0.25day$

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Policy variable of $X=5%$

Generally the equation for Total number of container $N_c$ is mathematically given by

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3 0

2 years ago

olchik [2.2K]

To solve this we are going to use the future value of annuity ordinary formula: $FV=P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ]$
where
$FV$ is the future value
$P$ is the periodic payment
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$k$ is the number of payments per year
$t$ is the number of years

We know for our problem that $P=6200$ and $t=5$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%:
$r= \frac{6}{100} =0.06$
Since the deposit is made semiannually, it is made 2 times per year, so $k=2$ .
Since the type of the annuity is ordinary, payments are made at the end of each period, and we know that we have 2 periods, so $n=2$ .
Lets replace the values in our formula:

$FV=P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ]$
$FV=6200[ \frac{(1+ \frac{0.06}{2} )^{(2)(5)} -1}{ \frac{0.06}{2} } ]$
$FV=71076.06$

We can conclude that the correct answer is <span>$71,076.06</span>

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