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enot [183]
3 years ago
11

a certain computer loses half of its value every two years. after how many years will the computer be worth 12.5% of the initial

value?
Mathematics
2 answers:
Juliette [100K]3 years ago
7 0

After every 2 years, a certain computer loses half of its value. Let the initial price of the computer be x .

So after 2 years, the price reduce to half of its price , that is 0.5x .

After 4 , years, the price reduce to half of its price , that is 0.25x .

After another 2 years, that is after 6 years, the price reduce to half, that is 0.125 x .

Therefore after 6 years, the price of the computer worth 12.5% of the initial value .

lukranit [14]3 years ago
7 0
................. .................
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Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common differen
PilotLPTM [1.2K]

\qquad\qquad\huge\underline{{\sf Answer}}

\textbf{Let's see if the sequence is Arithmetic or Geometric :}

\textsf{If the ratio between successive terms is } \textsf{equal then, the terms are in GP}

  • \sf{ \dfrac{12}{-4} = -3}

  • \sf{ \dfrac{-36}{12} = -3}

\textsf{Since the common ratio is same, } \textsf{we can infer that it's a geometric progression} \textsf{with common ratio of -3}

3 0
2 years ago
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10 ice cubes fit into 1/2 a tray. How many ice cubes fit per tray? 5<br> (1 Point)
NeX [460]

Answer:

20 ice cubes. Hope this helps!! ;)

Step-by-step explanation:

6 0
3 years ago
company with a large fleet of cars hopes to keep gasoline costs down and sets a goal of attaining a fleet average of at least 26
podryga [215]

Answer:

t=\frac{25.02-26}{\frac{4.83}{\sqrt{50}}}=-1.435    

p_v =P(t_{(49)}  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant lower than 26 so then the specification is satisfied.

Step-by-step explanation:

Data given and notation  

\bar X=25.02 represent the sample mean

s=4.83 represent the sample standard deviation

n=50 sample size  

\mu_o =26 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is at least 26 mpg, the system of hypothesis would be:  

Null hypothesis:\mu \geq 26  

Alternative hypothesis:\mu < 26  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{25.02-26}{\frac{4.83}{\sqrt{50}}}=-1.435    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=50-1=49  

Since is a one sided test the p value would be:  

p_v =P(t_{(49)}  

Conclusion  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant lower than 26 so then the specification is satisfied.

3 0
3 years ago
Cindy has a salary of $880 per week and is paid every two weeks. She has the following deductions from each paycheck: Federal in
Nitella [24]

Answer:

244.80 If I'm not wrong.

Step-by-step explanation:

Add all of the deductions together and subtract them by 880

By using g00gle I found out that 195.82 + 63.60 + 134.64 + 176.00 = 635.24.

So now you subtract it by her salary down below:

880.00 - 635.24 = 244.76  

244.80 or 245 if I'm not wrong

8 0
2 years ago
What is the product of (n - 8)(n + 2)?
Anuta_ua [19.1K]

Answer:

n² - 6n - 16

Step-by-step explanation:

As per the question,

We have been provided the equation

(n-8)(n+2)

To find the product, we have to multiply the both term,

(n - 8) (n + 2)

= n (n + 2) - 8 (n + 2)

= (n² + 2n) - (8n + 16)

= n² + 2n - 8n - 16n

= n² - 6n - 16

Hence, the required answer of the product of (n-8)(n+2) =  n² - 6n - 16.

5 0
2 years ago
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