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Papessa [141]
2 years ago
5

MARCELLA LANDON WINS THIRD PRIZE IN THE CLEARINGHOUSE SWEEPSTAKES AND

Mathematics
1 answer:
Triss [41]2 years ago
5 0

The amount of money in the account after 10 years is $278,814.10.

<h3>What will be the value of the account after 10 years?</h3>

The first step is to determine the amount she has left to invest.

Amount invested = amount won - amount spent on vacation

$250,000 - $10,000 = $240,000

The second step is to determine the future value of the account. The formula for calculating future value:

FV = P (1 + r)^nm

  • FV = Future value
  • P = Present value
  • R = interest rate = 1/5/12 = 0.125%
  • m = number of compounding =12
  • N = number of years

240,000 x 1.00125^(12 x10) = $278,814.10

To learn more about future value, please check: brainly.com/question/18760477

#SPJ1

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out of 200 houses in a neighborhood, 30 of them have their own lawn service. what percent of the houses do not have their own la
stira [4]

Answer:

85%

Step-by-step explanation:

If 30 of them have their own lawn service then that means 170 of them do not have their own lawn service.

Seeing as there are 200 houses in total, the fraction of people who don't have lawn service is 170/200. This is equal to 0.85 or 85%.

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2 years ago
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BRAINLIEST!!<br> 12. How can the figure be cut so that the resulting cross section is a rectangle?
maw [93]

Answer:

vertical

Step-by-step explanation:

just need yo imagine

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3 years ago
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Hazel knits 5 centimeters of scarf eachnight. After 5 nights of knitting, how manycentimeters of scarf will Hazel have knit into
natta225 [31]

Answer:

Hazel will have knitted 25 centimeters of the scarf

SOLUTION

Problem Statement

We are told Hazel knits 5 centimeters of scarf every night for 5 nights. We are required to find the length of the scarf Hazel will have knitted after 5 nights.

Solution

We are told Hazel makes 5 centimeters of scarf every night. Thus, for each night up till 5 nights, we just need to add the length of scarf Hazel has made.

Let us count for each night.

Night 1:

Hazel makes 5 centimeters of the scarf.

Night 2:

Hazel makes extra 5 centimeters, which means she has made:

\begin{gathered} (5+5)\text{centimeters} \\ =10\text{ centimeters} \end{gathered}

Night 3:

Hazel makes extra 5 centimeters, which means she has made:

\begin{gathered} (10+5)\text{centimeters} \\ =15\text{ centimeters} \end{gathered}

NIght 4:

Hazel makes extra 5 centimeters, which means she has made:

\begin{gathered} (15+5)\text{centimeters} \\ =20\text{ centimeters} \end{gathered}

NIght 5:

Hazel makes extra 5 centimeters, which means she has made:

\begin{gathered} (20+5)\text{centimeters} \\ =25\text{ centimeters} \end{gathered}

Final Answer

Thus, Hazel will have knitted 25 centimeters of the scarf

5 0
10 months ago
Suppose that at a state college, a random sample of 41 students is drawn, and each of the 41 students in the sample is asked to
ra1l [238]

Answer:

The  confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

  The  sample size is n = 41

   

For a 95% confidence the level of significance is  \alpha  = [100 - 95]\% =  0.05 and

the critical value  of  \frac{\alpha }{2}  is   Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }=  1.96

For a 90% confidence the level of significance is  \alpha  = [100 - 90]\% =  0.10 and

the critical value  of  \frac{\alpha }{2}  is   Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }=  1.645

So we see with decreasing confidence level the critical value  decrease

Now the margin of error is mathematically represented as

         E =  Z_{\frac{\alpha }{2} } *  \frac{s}{\sqrt{n} }

given that other values are constant and only Z_{\frac{\alpha }{2} } is varying we have that

         E\ \  \alpha \ \   Z_{\frac{\alpha }{2} }

Hence for  reducing confidence level the margin of error will be reducing

  The  confidence interval is mathematically represented as

        \= x  - E  <  \mu <  \= x  + E

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value  reduces, the margin of error  reduces and the confidence interval becomes narrower

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2 years ago
Which of the following can be determined about events A and C from the table.
kenny6666 [7]
The correct answer for this question is this one: "<span>C. P(C | A) = 0.75, P(C)=0.75 the events are not independent." 

</span><span>The statement that can be determined about events A and C from the table is that </span><span>P(C | A) = 0.75, P(C)=0.75 the events are not independent. Hope this helps answer your question.
</span>
5 0
3 years ago
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