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Stella [2.4K]
3 years ago
8

The amount after 8years will be what

Mathematics
1 answer:
patriot [66]3 years ago
8 0
P=5000
t=8
r=7%=0.07
n=4
Now all of this have to be substituted to the formula
A=5000(1+0.07/4)^(4*8)=5000(1+0.07/4)³²=8711.07
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A sample size must be determined for estimating a population mean given that the confidence level is ​% and the desired margin o
Sauron [17]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 n =290

b

 n =129

c

 The correct option is  D

Step-by-step explanation:

From the question we are told that

    The margin of error is   E  =  0.23

     The largest value is  k =  15

     The smallest value is  u = 7

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally population  standard deviation estimate is mathematically represented as

      \sigma  =  \frac{Range }{4}

Here the Range is mathematically represented as

       Range  =  k - u

=>    Range  = 15 - 7

=>    Range  = 8

=>   \sigma  =  \frac{8 }{4}

=>   \sigma  =  2

Generally the sample size is mathematically represented as

n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2

=>   n = [1.96  *  2 }{0.23} ] ^2

=>   n =290

Generally to obtain a  conservatively small sample size the population standard deviation estimate becomes

=>   \sigma  =  \frac{Range }{6}

=>   \sigma  =  \frac{8 }{6}

=>   \sigma  =1.333

Generally the conservatively small sample size is mathematically evaluated as

n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2

=>   n = [1.96  *  1.333 }{0.23} ] ^2

=>   n =129  

 

6 0
2 years ago
Use distributive property to solve this problem 3(x+4)=36
olya-2409 [2.1K]

Answer:

x=8

Step-by-step explanation:

3(x+4)=36

Divide each side by 3

3/3 (x+4)=36/3

x+4 = 12

Subtract 4 from each side

x+4-4 = 12-4

x = 8

4 0
3 years ago
Read 2 more answers
Evaluate 3^2 + (6-2) × 4 - 6/3​
IrinaVladis [17]
Answer: 23
Explanation: simplify using PEMDAS so solve parentheses, then solve the exponent, multiply the second number by 4, and then add, then subtract.

Hope this helps!
4 0
2 years ago
If an urn has 5 white balls 10 red balls what is the probability that 5 randomly selected balls contain exactly 3 white balls?
kondaur [170]

Answer:

0.15

Step-by-step explanation:

Without Mincing words let us dive straight into the solution to the question above. We are given the following information which is going to aid in solving this particular question.

====> It is given, that there are 5 white balls and 10 red balls. Hence, the number of the total balls = 5 white balls + 10 red balls = 15 balls.

Therefore, the probability that 5 randomly selected balls contain exactly 3 white balls = \left[\begin{array}{ccc}5\\3\end{array}\right]  × \left[\begin{array}{ccc}10\\2&\end{array}\right]  ÷  \left[\begin{array}{ccc}15\\3\\\end{array}\right]  = 450 ÷ 3003 = 0.15

3 0
3 years ago
How do i solve this? <br><br> 7 &lt; 3 - 2x<br><br><br> It's linear inequalities
Natasha2012 [34]

Hello from MrBillDoesMath!

Answer:

x < -2

Discussion:

7 < 3 - 2x                       => Add 2x to both sides

7 + 2x < 3 - (2x - 2x)     =>  As 2x -2x = 0

7 + 2x < 3                      =>  Subtract  7 from both sides

(7-7) +  2x < 3 - 7           => As 7-7 = 0 and 3-7 = -4

2x < -4                           => Divide both sides by 2

x < -4./2 = -2

Thank you,

MrB

7 0
3 years ago
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