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3 years ago

5

The drama club is selling tickets to their play to raise money for the shows expenses. Each student ticket sells for $8 and each

adult ticket sells for $11.50

1 answer:

vivado [14]3 years ago

6 0

Answer:

32 adult tickets and 49 student tickets

Step-by-step explanation:

Step-by-step explanation: 32 x $11.50= $368 adult tickets 49 x $8=$392 student tickets

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The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra

ivanzaharov [21]

The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by $\frac{1}{5}$
From term 2 to term 3, there's a decrease also by $\frac{1}{5}$

The rule to find the $n^{th}$ term in a sequence is
$n^{th}=a r^{n-1}$ , where $a$ is the first term in the sequence and $r$ is the ratio

So, the formula for the sequence in question is
$n_{th}$ term = $1000( \frac{1}{5} ^{n-1} )$

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
$S_{∞} = \frac{a}{1-r}$ for -1<r<1
Substituting $a=1000$ and $r= \frac{1}{5}$ we have
$S_{∞}$ = $\frac{1000}{1- \frac{1}{5} }$ = 1250

Hence, the correct option is option number 1

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3 years ago

Samantha invested $880 in an account paying an interest rate of 3.1% compounded

irakobra [83]

Answer: 11.8

Step-by-step explanation:

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3 years ago

I had 6 cupcakes two days ago, and 9 yesterday. help me continue this pattern. thank you.

lutik1710 [3]

You had 12 the next day and the day after that you had 18

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3 years ago

Read 2 more answers

Pls help I’m so confused

solniwko [45]

Answer:

Yes

Step-by-step explanation:

First, look for the hypotenuse (diagonal) of the base of the box. We have the two legs: 13 inches and 35 inches.

Set up an equation using the Pythagorean theorem:

$13^2+35^2=C^2$

Solve for C:

169 + 1225 = C^2

1394 = C^2

C ≈ 37.34

Now that we have the diagonal of the base, we know can move on to find the value of the interior diagonal. We have two legs: 13 inches and 37.34 inches.

Again, set up an equation using the Pythagorean theorem, and solve for the new C:

$13^2+37.34^2=C^2$

1563.2756 = C^2

C = 39.54

The interior diagonal of the box is approximately 39.54 inches long, which is longer than Kylie's baton, which is 38 inches long. So, she can fit the baton in the box.

Have a nice day! :)

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3 years ago

A scatter plot contains a trend line that passes through points (2, 5) and (3, 7). Does this trend line illustrate a correlation

zalisa [80]

Given that the scatter plot contains a trend line that passes through (2,5) and (3,7),
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<span>D. There is not enough information.</span>

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3 years ago