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zepelin [54]
3 years ago
15

Write two expressions to show a number increased by 11. Then, draw models to prove that both expressions represent the same thin

g.

Mathematics
1 answer:
ioda3 years ago
5 0

Answer:

n + 11 and 11 + n

Step-by-step explanation:

Let n be the unknown number,

n is increased by 11,

That is, n + 11

By the commutative property of addition,

The expression would be,

11 + n

For drawing a model that shows n + 11

Take two boxes in which first shows n and second shows 11 and add them,

Similarly, for showing 11 + n, take first box that shows 11 and second box that shows n then add them.

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Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:
Amiraneli [1.4K]

Answer:

  • See below

Step-by-step explanation:

<u>Given:</u>

  • Investment P = $20000
  • Time t = 7 years
  • Interest rate r = 5.5% = 0.055

a. <u>compounded semiannually, n = 2</u>

  • A = P*(1 + r/n)^{nt} = 20000(1+0.055/2)^{2*7} = 29239.88

b. <u>compounded quarterly, n = 4</u>

  • A = P*(1 + r/n)^{nt} = 20000(1+0.055/4)^{4*7} =  29315.30

c. <u>compounded monthly, n = 12</u>

  • A = P*(1 + r/n)^{nt} = 20000(1+0.055/12)^{12*7} =  29366.44

d. <u>compounded continuously</u>

  • A = Pe^{rt}=20000*e^{0.055*7}=29392.29
5 0
2 years ago
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Could I get help on this question in fraction form
viktelen [127]

Answer:

\frac{72-\sqrt{323} }{90}

Step-by-step explanation:

3 0
3 years ago
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Find the value of x.
ella [17]

Answer:

502.4

Step-by-step explanation:

Use tangent because the side you know and the side with x are both legs.  

Do 203/tan(22) and you should get your awnser.  

You devide by 203 because the rule is opposite over ajacent and 203 is the opposite side.

4 0
2 years ago
ΔA'B'C' is the image of a reflection of ΔABC across the line x=1. The y-coordinates of the vertices of ΔABC and its image ΔA'B'C
seropon [69]

Answer:

A(y=3) B(y = -2) C(y= 4)

A' (y = 3) B(y= -2) C(y= 4)

Step-by-step explanation:

4 0
2 years ago
In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes
ale4655 [162]

Answer:

The sample mean is \bar{x}=14.371 min.

The sample standard deviation is \sigma = 18.889 min.

Step-by-step explanation:

We have the following data set:

\begin{array}{cccccccc}0.15&0.82&0.81&1.44&2.70&3.28&4.00&4.70\\4.96&6.49&7.25&8.03&8.40&12.15&31.89&32.47\\33.79&36.80&72.92&&&&&\end{array}

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.

The formula for the mean of a sample is

\bar{x} = \frac{{\sum}x}{n}

where, n is the number of values in the data set.

\bar{x}=\frac{0.15+0.82+0.81+1.44+2.7+3.28+4+4.7+4.96+6.49+7.25+8.03+8.4+12.15+31.89+32.47+33.79+36.80+72.92}{19}\\\\\bar{x}=14.371

The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.

To find standard deviation we use the following formula

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }

The mean of a sample is  \bar{x}=14.371.

Create the below table.

Find the sum of numbers in the last column to get.

\sum{\left(x_i - \overline{X}\right)^2} = 6422.0982

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 6422.0982 }{ 19 - 1} } \approx 18.889

7 0
3 years ago
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