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garik1379 [7]
3 years ago
8

The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country durin

g a year. During the period 1985-1999, the Gross Domestic Product of the United States grew about 3.2% per year, measured in 1996 dollars. In 1985, the GDP was $577 billion. I what year did/or will the GDP equal $4.0 trillion?
Mathematics
2 answers:
Lena [83]3 years ago
5 0
Trillion is not a number baby
swat323 years ago
4 0
GDP was a linear function of time (year) during the period of 1985-99.
The slope is positive.
Equation is: GDP(y)=(y-1985)*0.032*577+577=577*[(y-1985)*0.032+1] check: if y=1985, then GDP=577 .
So, we need to solve for "y" this equation: GDP=4000=577*[(y-1985)*0.032+1]then, y=[4000/577-1]/0.032+1985 =  2170.4 
we solveGDP=2200=577*[(y-1985)*0.032+1]  [4 is replaced by 2.2] y=[2200/577-1]/0.032+1985=2072.9  [almost 2073]
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zalisa [80]

Answer:

(a) The sample sizes are 6787.

(b) The sample sizes are 6666.

Step-by-step explanation:

(a)

The information provided is:

Confidence level = 98%

MOE = 0.02

n₁ = n₂ = n

\hat p_{1} = \hat p_{2} = \hat p = 0.50\ (\text{Assume})

Compute the sample sizes as follows:

MOE=z_{\alpha/2}\times\sqrt{\frac{2\times\hat p(1-\hat p)}{n}

       n=\frac{2\times\hat p(1-\hat p)\times (z_{\alpha/2})^{2}}{MOE^{2}}

          =\frac{2\times0.50(1-0.50)\times (2.33)^{2}}{0.02^{2}}\\\\=6786.125\\\\\approx 6787

Thus, the sample sizes are 6787.

(b)

Now it is provided that:

\hat p_{1}=0.45\\\hat p_{2}=0.58

Compute the sample size as follows:

MOE=z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}

       n=\frac{(z_{\alpha/2})^{2}\times [\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})]}{MOE^{2}}

          =\frac{2.33^{2}\times [0.45(1-0.45)+0.58(1-0.58)]}{0.02^{2}}\\\\=6665.331975\\\\\approx 6666

Thus, the sample sizes are 6666.

7 0
3 years ago
A runner ran at a rate of 6 miles per hour. What is this speed in miles per minute?
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1 hour =60 minutes
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Multiply. Express each answer as a decimal.<br><br> 12⋅15<br> 34⋅200<br> (0.2)⋅60<br> (0.75)⋅20
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Answer:

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-15-x=-22<br>What is the answer for this problem ​
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Answer:

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