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vaieri [72.5K]
3 years ago
11

If a new truck costs $43,750 and it depreciates 11% per year, what will the truck be worth in 5 years?

Mathematics
1 answer:
vladimir1956 [14]3 years ago
5 0
Depreciation formula A = P(a - r)^t
A = 43,750(1 - .11)^t
A = 43,750(.89)^5
A = $24,430.26
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A sample of 15 commuters in Chicago showed the average of the commuting times was 33.2 minutes. If s = 8.3 minutes, find the 95%
OleMash [197]

Answer:

The 95% confidence interval of the true mean.

(29.4261 ,36.9739)

Step-by-step explanation:

<u>Step :- (i)</u>

Given sample size 'n' =15

sample of the mean x⁻ = 33.2

The standard deviation of the sample 'S' = 8.3

<u>95% of confidence intervals</u>

<u></u>(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )<u></u>

<u>Step:-(ii)</u>

<u>The degrees of freedom γ=n-1 = 15-1=14</u>

The tabulated value t = 1.761 at 0.05 level of significance.

now substitute all possible values, we get

(33.2 - 1.761\frac{8.3}{\sqrt{15} } ,33.2+ 1.761\frac{8}{\sqrt{15} } )

After calculation , we get

(33.2-3.7739 , 33.2+3.7739

(29.4261 ,36.9739)

<u>Conclusion</u>:-

the 95% confidence interval of the true mean.

(29.4261 ,36.9739)

8 0
3 years ago
What is the vertex of a parabola having the equation y = –2(x – 5)2 + 7? Which direction does the parabola open?
Vika [28.1K]

y = -2(x-5)^2 + 7

That's vertex form for a parabola y=a(x-p)^2+q and we read off vertex (p,q) as

Answer: Vertex (5,7)

The negative <em>a</em> tells us this is a downward opening parabola (upside down from the usual y=x^2. I remember CUP - Concave Up Positive; here <em>a </em>is negative so not a cup, instead concave <em>down.</em> The same rule applies to second derivatives in calculus so memorize it now and use it later.

Answer: downward

7 0
3 years ago
What is 1430÷75 in fraction form
Vedmedyk [2.9K]
If you want just 1430/75 in fraction form then:

1430/75 = \frac{286}{15}  after you divide it by 5.

If you want the divided number in fraction form then:

1430/75 = 19.066... = 19 +  \frac{1}{15} =  \frac{286}{15}

both give the same answer so it doesn't matter.
8 0
3 years ago
Read 2 more answers
Which graph represents the function f(x) = 2^x+ 3?
goblinko [34]

Answer:

Where's the graph?

Step-by-step explanation:

5 0
3 years ago
Please help, math question.
Veseljchak [2.6K]
Part a) 
Identify the variable and categories


By reading the above statement, we can find that there are two variables and each variable has 2 categories. The variables and their categories are:
1) Class Number
This variable is further divided into 2 categories i.e. Class 9th and Class 10th.

2) Participation in Extracurricular activities
This variable is further divided into 2 categories based on if students participated or not.

Part b)
Set up and fill 2 way table.

Since, we have 2 variables and each variable has 2 categories the number of data cells will be 2 x 2 = 4 cells

There are total 100 students. 40 students are in class 10th. This means 60 students are in class 9th.Out of 40 students in class 10th, 18 students participate in at least one extracurricular activity. So remaining 22 students do not participate. 32 students from class 9th participate in extracurricular activities, this means the remaining 28 students do not participate. Based on this data, we can fill up the table as shown below
 

6 0
3 years ago
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