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dusya [7]
3 years ago
7

HELP, ASAP PLEASE!!!!

Mathematics
1 answer:
algol133 years ago
3 0

Answer:Remember that the general formula of geometric sequence is 

where 

is the nth term

is the difference

is the place of the term in the sequence

Also, to find  we will use the formula: 

where 

is the current term in the sequence 

is the previous term 

a) Lets find the three first terms of our sequence to check what type of sequence we have:

We know for our problem that the initial value of the computer is $1250, so our first term is 1250. In other words .

To fin our second term , we are going to subtract 10% of the value to our original value:

and , so 

To find our third term  we are going to subtract yet again 10% to our current value:

and , so

Now that we have our sequence  lets check if we have a consistent  to prove we have a geometric sequence:

- with , and :

 

- with , and :

 

Look! our s are the same, so we can conclude that we have a geometric sequence.

b) To do this we just need to replece the values of our sequence in the general formula of a geometric sequence. We know from our previous point that  and . So lets replace those values in geometric sequence formula to find our explicit formula:

c) To find the value of the computer at the beginning of the 6th year, we just need to find the 6th therm in our geometric sequence:

We can conclude that the value of the computer at the beginning of the 6th year will be $738.1125

Step-by-step explanation:

i did some research i dont know if it helped out not but id appreciate brainliest if it did..... thank you.

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Answer:

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3 years ago
What is the height of a rectangular prism that has a volume 192 cubic feet and a base with an area of 48 square feet?
Westkost [7]

Answer:

A rectangular prism has 3 measurements: length (l), width (w), and height (h)

The volume of a rectangular prism has the formula: V=lwh

The area of the base of the rectangular prism is its length times its width; or

Area of base = lw

So, the volume of the rectangular prism can be written as:

Volume = area of the base * height

Substitute in your numbers:

192=48*h

h=192/48

h=4

So the height is 4 feet

Step-by-step explanation: Hope this helps. :))

3 0
2 years ago
What is equation of a line that is parallel to y = -6x – 1 and passes through the point (1,4)
Akimi4 [234]

Answer:

y = -6x + 10

Step-by-step explanation:

Parallel lines share the same slope.  Given y = -6x – 1, we know that the equation of this new line has the form y = -6x – C.  The coordinates of the point (1, 4) determine the value of C:

(4) = -6(1) – C, or:

4 = -6 - C

Then C = -10, and the desired equation is

y = -6x – (-10), or

y = -6x + 10

5 0
2 years ago
What fraction would you use to find 66.66% of 72?
Soloha48 [4]
I don't think you use a fraction. You multiply .6666 by 72 which equals 47.9952 or rounded 48. :)
6 0
3 years ago
Because of staffing decisions, managers of the Gibson-Marion Hotel are interested in the variability in the number of rooms occu
olchik [2.2K]

Answer:

a) s^2 =30^2 =900

b) \frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}

567.28 \leq \sigma^2 \leq 1690.224

c) 23.818 \leq \sigma \leq 41.112

Step-by-step explanation:

Assuming the following question: Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in  the variability in the number of rooms occupied per day during a particular season of the  year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per  day and a sample standard deviation of 30 rooms

Part a

For this case the best point of estimate for the population variance would be:

s^2 =30^2 =900

Part b

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

The degrees of freedom are given by:

df=n-1=20-1=19

Since the Confidence is 0.90 or 90%, the significance \alpha=0.1 and \alpha/2 =0.05, the critical values for this case are:

\chi^2_{\alpha/2}=30.144

\chi^2_{1- \alpha/2}=10.117

And replacing into the formula for the interval we got:

\frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}

567.28 \leq \sigma^2 \leq 1690.224

Part c

Now we just take square root on both sides of the interval and we got:

23.818 \leq \sigma \leq 41.112

5 0
3 years ago
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