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atroni [7]
3 years ago
10

A caterer charges a setup fee of $50, plus $20 per person. How much will the caterer charge if 35 people attend the party?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0
750 dollars all you have to do is multiply 20 and 35 which gets you too 700 and now you add 50 and you get your answer 750 dollars
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A student in Greece discovers a pottery bowl
finlep [7]

Answer:

The age of the pottery bowl to the nearest year is 15606 years.

Step-by-step explanation:

Let the initial amount of C-14 in the bowl i.e. N_{0} = 100 and today (say after t years) the amount of C-14 in the bowl i.e. N = 21.

Therefore, from the given equation we can write  

21 = 100 e^{- 0.0001t} {Since, k is give to be 0.0001}

⇒ 0.21 = e^{- 0.0001t}

Now, taking ln on both sides we get

ln 0.21 = - 0.0001t (ln e) {Since, \ln a^{b} = b \ln a}

⇒ - 1.560647 = - 0.0001t  {We have ln e = 1}

⇒ t = 15606.47 years ≈ 15606 years  

Therefore, the age of the pottery bowl to the nearest year is 15606 years.(Answer)

3 0
3 years ago
Coming back to this app is bringing back memories and its making me cry T-T
Lana71 [14]

Answer:

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3 0
2 years ago
Read 2 more answers
The caffeine content (in mg) was examined for a random sample of 50 cups of black coffee dispensed by a new machine. The mean an
Genrish500 [490]

Answer:

 We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 mg .

Step-by-step explanation:

Given -

The sample size is large then we can use central limit theorem

n = 50 ,  

Standard deviation(\sigma) = 7.1

Mean \overline{(y)} = 110

\alpha = 1 - confidence interval = 1 - .98 = .02

z_{\frac{\alpha}{2}} = 2.33

98% confidence interval for the mean caffeine content for cups dispensed by the machine = \overline{(y)}\pm z_{\frac{\alpha}{2}}\frac{\sigma}\sqrt{n}

                     = 110\pm z_{.01}\frac{7.1}\sqrt{50}

                      = 110\pm 2.33\frac{7.1}\sqrt{50}

       First we take  + sign

   110 +  2.33\frac{7.1}\sqrt{50} = 112.34

now  we take  - sign

110 -  2.33\frac{7.1}\sqrt{50} = 107.66

 We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 .

               

5 0
3 years ago
2. If Mrs. Esposito drove 585 miles to North Carolina in 9 hours, what speed was she driving? (miles per hour) a. 55 mph b. 60 m
vekshin1

Your answer is 65

Step-by-step explanation:

You need to divide 585 by 9 the answer is 65

3 0
3 years ago
Write 60 as the product of two factors
Ilya [14]
Use a factor<span> tree to express </span>60<span> as a </span>product<span> of prime </span>factors<span>. So the prime factorization of </span>60<span> is 2 × 2 × 3 × 5, which can be written as 2 </span>2<span> × 3 × 5.</span>
5 0
3 years ago
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