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insens350 [35]
3 years ago
10

Need help on this the struggle is real!!!

Mathematics
1 answer:
djverab [1.8K]3 years ago
5 0
Hello,

To solve this, we should first write an inequality.
Since we have to pay $109.50 to rent the studio, we will start with that.
Then, we add on 15 per person. Finally, it needs to be under $319.

The inequality is:
109.5 + 15x < 318

Solve it gives:
15x < 208.5
x < 13.9

We have to invite less than 13.9 people. So they most we can invite is only 13.

I hope this helps,
MrEQ
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faust18 [17]

Answer:

DO NOT DOWNLOAD IT IT IS A VIRUS I LEARNED IT THE HARD WAY

Step-by-step explanation:

6 0
3 years ago
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What is the mathematical induction of <br> 1+3+5+...+(2n-1)=n^2
Lena [83]
Let S(n) be the statement that

1+3+5+\cdots+(2n-1)=\displaystyle\sum_{k=1}^n(2k-1)=n^2

Check to see that S(n) holds for n=1:

\displaystyle\sum_{k=1}^1(2k-1)=1=1^2\implies S(1)\text{ is true}

Now suppose that S(N) is true, and use that assumption to show that S(N+1) must also be true. When n=N+1, you have

\displaystyle\sum_{k=1}^{N+1}(2k-1)=\sum_{k=1}^N(2k-1)+2(N+1)-1
=N^2+2(N+1)-1
=N^2+2N+1
=(N+1)^2

and so S(N+1) is also true, thus proving the statement is true for all n.
6 0
3 years ago
In the computer club, 45% of the
EastWind [94]

Answer: 40

Step-by-step explanation: Do 18/.45 then to check your work you can do 40 times .45

7 0
3 years ago
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An account earns simple annual interest. You deposit $600 into an account at 5% interest rate for 2 years. (a) Find the interest
Ilia_Sergeevich [38]

Answer:

(a) $60 | (b) $660

Step-by-step explanation:

We can use the simple interest formula for this:

I=Prt

<em>I = interest amount</em>

<em>P = principal amount</em>

<em>r = interest rate (decimal form)</em>

<em>t = time (years)</em>

<em />

First, change 5% into its decimal form:

5% -> \frac{5}{100} -> 0.05

Next, plug in the values into the equation:

I=600(0.05)(2)

I=60

<em>The interest earned is $60. To find the total balance, just add the $600 back.</em>

600+60=660

The total interest earned is $60 and the total is $660.

4 0
3 years ago
⭐️ help would be appreciated
serg [7]
Hey there :)

f (x) = 5x² - 2x
g (x) = 3x² + x - 4

( f + g )( x ) is f ( x ) + g ( x )

5x² - 2x + 3x² + x - 4
Combine like-terms
5x² + 3x² - 2x + x - 4
8x² - x - 4

Your option will be the third option

5 0
4 years ago
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