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bogdanovich [222]
2 years ago
8

You are planning to buy one of two brands of sofas, which you hope to use over the next twenty years. brand j costs $975 and las

ts for about twenty years. brand k costs $265 and lasts for about five years, so you will need to buy four brand k sofas to equal one brand j sofa. in either case, you plan to pay for your sofa using your credit card, which has an interest rate of 14.55%, compounded monthly. you can pay off a brand j sofa with eight years of monthly payments, and you can pay off a brand k sofa with three years of monthly payments. assuming that you make no other purchases on your credit card, over twenty years, which brand will be cheaper, and how much cheaper will it be? (round all dollar values to the nearest cent.)
Mathematics
2 answers:
Mazyrski [523]2 years ago
5 0
D.Brand K will be $340.32 cheaper than Brand J.
Zolol [24]2 years ago
5 0

Answer:

its the letter d....................

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Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y =
Mila [183]

Answer:

<h2>The flat pay $25 represents the intercept</h2>

Step-by-step explanation:

To answer this question we need to first understand and compare it with the equation of straight line.

i.e y= mx+c  which is the equation of line

where m= slope

           y= dependent variable

           x= independent variable

          c= intercept

Given

y= 25+5h

comparing both expression we can see that

25 corresponds to c which is the intercept

6 0
2 years ago
In 2005, there were 74,250 car accidents. In 20,187 of them, the driver was a
zhuklara [117]

Answer:

27.19% probability that a female driver was involved in an accident

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

74,250 car accidents. Of those, in 20,187, the driver was a female.

Based on this, what is the probability that a female driver was involved in an accident?

p = 20187/74250 = 0.2719

27.19% probability that a female driver was involved in an accident

6 0
2 years ago
Faith is working two summer jobs, making $13 per hour lifeguarding and $12 per
Svetllana [295]

Answer:

Step-by-step explanation:

Let's call lifeguarding L and car washing W.  In order to write a system, we need to first separate the NUMBER of hours worked from the MONEY earned, because they are very different things.

If she works 10 hours, that is the number of hours worked between both jobs.  Therefore, the equation for the NUMBER of hours worked is

L + W = 10.

If she earns $13 an hour lifeguarding, the expression for that is 13L; if she earns $12 an hour car washing, the expression for that is 12W.  The MONEY she earned together by doing both those jobs is

13L + 12W = 124

There you go!

5 0
2 years ago
A researcher evaluates the significance of a multiple-regression equation and obtains an F-ratio with df = 2,24. How many partic
alisha [4.7K]

Answer:

N=27 participants

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"  

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.

If we assume that we have k independent variables and we have  j=1,\dots,j individuals, we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2  

SS_{regression}=SS_{model}=\sum_{j=1}^n (\hat y_{j}-\bar y)^2  

SS_{error}=\sum_{j=1}^n (y_{j}-\hat y_j)^2  

And we have this property  

SST=SS_{regression}+SS_{error}  

The degrees of freedom for the model on this case is given by df_{model}=df_{regression}=k=2 where k =2 represent the number of variables.

The degrees of freedom for the error on this case is given by df_{error}=N-k-1=24. Sinc we know k we can find N.

N=24+k+1=24+2+1=27

And the total degrees of freedom would be df=N-1=27 -1 =26

On this case the correct answer would be N=27 participants

6 0
2 years ago
Ivan and Adeline are in a classroom with a chalkboard. They are standing on different halves of the board, and on each half, the
solong [7]

Answer:

The number of times Ivan and Adeline have the same number written on the board is 6.

Step-by-step explanation:

Consider the procedure as follows:

  • On each half of the board, the number 2 is written.
  • On Ivan's teacher's signal, Ivan multiplies the number on his side of the board by -2 and writes the answer on the board, erasing the number he started with.
  • Adeline does the same on each signal, except that she multiplies by 2.
  • The teacher gives 10 signals in total.

Consider the numbers on each half of the board:

          Ivan                            Adeline

             2                                     2

      2 × -2 = -4                        2 × 2 = 4

     -4 × -2 = 8                         4 × 2 = 8

      8 × -2 = -16                      8 × 2 = 16

   -16 × -2 = 32                      16 × 2 = 32

   32 × -2 = -64                    32 × 2 = 64

  -64 × -2 = 128                   64 × 2 = 128

  128 × -2 = -256               128 × 2 = 256

-256 × -2 = 512                256 × 2 = 512

  512 × -2 = -1024              512 × 2 = 1024

-1024 × -2 = 2048           1024 × 2 = 2048

Thus, the number of times Ivan and Adeline have the same number written on the board is 6.

6 0
2 years ago
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