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emmainna [20.7K]
3 years ago
6

The 7 percent, semiannual coupon bonds offered by House Renovators are callable in two years at $1,035. What is the amount of th

e call premium if the bonds have a par value of $1,000?
Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

The call premium is $35

Step-by-step explanation:

Hi, the call premium is found as follows.

Call Premium=CallPrice-Value

CallPremium=1,035-1,000=35

So, the call premium is $35.

Best of luck.

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A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.
denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let \mu = <u><em>population mean light bulb life.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 500 hours      {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, H_A : \mu < 500 hours     {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                           T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean bulb life = 490 hours

           σ = population standard deviation = 50 hours

           n = sample of light bulbs = 100

So, <u><em>the test statistics</em></u>  =  \frac{490-500}{\frac{50}{\sqrt{100} } }

                                     =  -2

The value of z test statistics is -2.

<u>Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.</u>

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis.</u>

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

7 0
3 years ago
Unit 3 homework 6 Gina Wilson
Sonja [21]

Answer:

5) The equation of the straight line is   2 x - y + 1 =0

6) The equation of the straight line is   x + y -5 =0

7) The equation of the straight line is   5 x + 6 y - 24 =0

8) The equation of the straight line is  x - 4 y -4 =0

9) The equation of the parallel line is 3x + y -19 =0

Step-by-step explanation:

5)

The equation of the straight line is

                         y - y_{1}  = m ( x - x_{1} )

          Slope of the line

                      m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

        Given points are (1,3) , ( -3,-5)

         m = \frac{-5-3  }{-3-1 } = \frac{-8}{-4} = 2

The equation of the straight line is

                         y - y_{1}  = m ( x - x_{1} )

                        y - 3 = 2 ( x - 1 )

                        y = 2x - 2 +3

                       2 x - y + 1 =0

The equation of the straight line is   2 x - y + 1 =0

  6)

The equation of the straight line is

                         y - y_{1}  = m ( x - x_{1} )

          Slope of the line

                      m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

        Given points are (1,4) , ( 6,-1)

         m = \frac{-1-(4)  }{6-1 } = \frac{-5}{5} = -1

The equation of the straight line is  

                         y - y_{1}  = m ( x - x_{1} )

                        y - 1 = -1 ( x - 4 )

                        y - 1 = - x +4

The equation of the straight line is   x + y -5 =0

7)

The equation of the straight line is

                         y - y_{1}  = m ( x - x_{1} )

          Slope of the line

                      m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

 Given points are (-12 , 14) , ( 6,-1)

         m = \frac{-1-(14)  }{6+12 } = \frac{-15}{18} = \frac{-5}{6}

         y - 14  = \frac{-5}{6}  ( x - (-12) )

       6( y - 14 ) = - 5 ( x +12 )

      6 y - 84 = - 5x -60

       5 x + 6 y  -84 + 60 =0

      5 x + 6 y - 24 =0

8)

The equation of the straight line is

                         y - y_{1}  = m ( x - x_{1} )

          Slope of the line

                      m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Given points are (-4 , -2) , ( 4 , 0)

              m = \frac{0+2}{4 +4}  = \frac{2}{8} = \frac{1}{4}

           y - (-2)  =\frac{1}{4} ( x - (-4) )

             4 ( y + 2) = x + 4

                x - 4 y -4 =0

  9)

The equation of the line y = 3x + 6  is parallel to the line

3x + y + k =0 is passes through the point ( 4,7 )

⇒   3x + y + k =0

⇒    12 + 7 + k =0

⇒    k = -19

The equation of the parallel line is 3x + y -19 =0

     

4 0
3 years ago
On a number line, why is 0 important?
dmitriy555 [2]
0 is the starting pointing for equations that are for positive numbers. 0 sets an easy way to figure out problems that have negatives. 0 is important to solve any problem with integers, and decimals!
4 0
3 years ago
Read 2 more answers
5
labwork [276]
This is called the Pythagorean theorem : a ² + b ² = c ². You can substitute any of the variable with any of the known numbers and then you all you have to do is isolate the variable. I hope that helps!!
4 0
3 years ago
Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was $43.25dollar sign, 43, point,
mars1129 [50]

Answer:

The equation that represents the money he spent by the time he was on the trampoline is "total amount = 7 + 1.25*x" and on that day he spent 29 minutes on the trampoline.

Step-by-step explanation:

The question is incomplete, but we can assume that the problems wants us to determine an equation for the time in minutes that Raymond spent on the Super Bounce.

In order to write this equation we will attribute a variable to the amount of time Raymond spent on the trampoline, this will be called "x". There were two kinds of fees to ride the trampoline, the first one was a fixed fee of $7 while the second one was a variable fee of $ 1.25 per minnute spent playing. So we have:

total amount = 7 + 1.25*x

Since he spent a total of $43.25 on that day we have:

1.25*x + 7 = 43.25

1.25*x = 43.25 - 7

1.25*x = 36.25

x = 36.25/1.25 = 29 minutes

The equation that represents the money he spent by the time he was on the trampoline is "total amount = 7 + 1.25*x" and on that day he spent 29 minutes on the trampoline.

6 0
3 years ago
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