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irakobra [83]
2 years ago
5

At what rate would you need to invest $12000 and make $2880 after 8 years?

Mathematics
1 answer:
lora16 [44]2 years ago
4 0

Answer:

3\%

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=8\ years\\ P=\$12,000\\I=\$2,880\\r=?

substitute in the formula above

2,880=12,000(8r)

Solve for t

2,880=96,000(r)

r=2,880/96,000

r=0.03

Convert to percent form

0.03*100=3\%

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Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoc
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We need a sample size of at least 719

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We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?

This is at least n, in which n is found when M = 0.3, \sigma = 4.103. So

M = z*\frac{\sigma}{\sqrt{n}}

0.3 = 1.96*\frac{4.103}{\sqrt{n}}

0.3\sqrt{n} = 1.96*4.103

\sqrt{n} = \frac{1.96*4.103}{0.3}

(\sqrt{n})^{2} = (\frac{1.96*4.103}{0.3})^{2}

n = 718.57

Rouding up

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6 0
2 years ago
The table shows the profits (y) in millions of dollars for Buffalo Wild Wings for each year (x) from 2007 through 2013, where x=
user100 [1]

a) See attached diagram.

b) The slope can be obtained by the formula:

m_i=\dfrac{y_{i+1}-y_i}{x_{i+1}-x_i}.

Now

  • m_1=\dfrac{24.4-19.7}{8-7}=4.7;
  • m_2=\dfrac{30.7-24.4}{9-8}=6.3;
  • m_3=\dfrac{38.4-30.7}{10-9}=7.7;
  • m_4=\dfrac{50.4-38.4}{11-10}=12;
  • m_5=\dfrac{57.3-50.4}{12-11}=6.9;
  • m_6=\dfrac{71.6-57.3}{13-12}=14.3;

The greatest increases were from 2012 till 2013 years and the least increases were from 2007 till 2008 years.

c) Using graphing calculator, the equation of the line (black line in the diagram) is

y\approx 0.71x^2-5.58x+23.76.

d) Since the slopes are different, this line is not straight. From the given data you can predict that the "best fit" is quadratic function.

e) In 2017, find

y(17)\approx 0.71\cdot 17^2-5.58\cdot 17+23.76\approx 134.09

6 0
2 years ago
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