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Ann [662]
3 years ago
11

The company financial officer was interested in the average cost of PCs that had been purchased in the past six months. A random

sample of the price of 10 computers was taken with the following results:
$3,250, $1,127, $2,995, $3,250, $3,445, $3,449, $1,482, $6,120, $3,009, $4,000
What is the first quartile?

A. $1,446.5 B.$2,617 C. $3,415.75 D. $3,587 E. $4,212
Mathematics
1 answer:
enot [183]3 years ago
7 0

Answer:

2995

Step-by-step explanation:

The first quartile (Q1) is defined as the middle number between the smallest number and the median of the data set

1127

1482

2995

3009

3250

3250

3445

3449

4000

6120

rearranging the data sets from the least to the highest

the middle number of the data sets is 3250

the middle number between the smallest number and the median of the data set is 2995

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For the following amount at the given interest rate compounded​ continuously, find​ (a) the future value after 9 ​years, (b) the
Stella [2.4K]

Answer:

(a) The future value after 9 ​years is $7142.49.

(b) The effective rate is r_E=4.759 \:{\%}.

(c) The time to reach ​$13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of P dollars is invested at a rate of interest r compounded continuously for t years, the compound amount is

A=Pe^{rt}

(a) From the information given

P=4700

r=4.65\%=\frac{4.65}{100} =0.0465

t=9 \:years

Applying the above formula we get that

A=4700e^{0.0465\cdot 9}\\A=7142.49

The future value after 9 ​years is $7142.49.

(b) The effective rate is given by

r_E=e^r-1

Therefore,

r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}

(c) To find the time to reach ​$13,000, we must solve the equation

13000=4700e^{0.0465\cdot t}

4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88

3 0
3 years ago
17/26 in simplest form
zzz [600]

since 17 is a prime number and 26 is not a multiple of 17

17/26 is in simplest form

8 0
3 years ago
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Hunter-Best [27]

Answer: No

Step-by-step explanation: the ratio 3:6 reduces to one half

the ratio 6:3 reduces to 2 because division cannot be interchangeable

4 0
3 years ago
The large rectangle below represents one whole. What percent is represented by the shaded area? (URGENT)
nikitadnepr [17]

Answer:

40%

Step-by-step explanation:

The whole rectangle is split into 5 parts. Two out of 5 parts are shaded.

Set up a fraction:

\frac{\text{Shaded}}{\text{Whole}}=\frac{2}{5}

Convert into a decimal:

\frac{2}{5}= 0.4

Multiply the decimal by 100 to get the percent:

0.4*100=40

So, forty percent of the rectangle is shaded.

Hope this helps.

4 0
3 years ago
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What is the recursive rule for the sequence an=5(-2)n-1
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Multiplying an odd number of negative factors equals a negative

-5* 2n -1

Calculate the product

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4 0
3 years ago
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