Devin borrowed $1,058 at 13 percent for nine months.
We have to calculate the interest paid.
Interest =
Substituting the values of
Principal = $1058
Rate = 13%
Time = 9 months = year
Interest =
Interest = 103.155
= 103.16
So, Devin will pay 103.16 as the interest.
Therefore, Option A is the correct answer.
Answer:
The test statistic value is 15.3.
Step-by-step explanation:
The hypothesis for this test is:
<em>H</em>₀: The average number of homeless people is not increasing, i.e. <em>μ</em> = 42.3.
<em>H</em>ₐ: The average number of homeless people is increasing, i.e. <em>μ</em> > 42.3.
Given:
As the population standard deviation is provided use a single mean <em>z</em>-test for the hypothesis testing.
The test statistic is:
Thus, the test statistic value is 15.3.
Distance traveled in clear weather = 50 miles
Distance traveled in thunderstorm = 15 miles
Let speed in clear weather = x
⇒ Speed in thunderstorm = x-20
Total time taken for trip = 1.5 hours
We need to determine average speed in clear weather (i.e. x) and average speed in the thunderstorm (i.e. x-20 ).
Total time taken for trip = Time taken in clear weather + Time taken in thunderstorm
⇒ Total time taken for trip = +
⇒ 1.5 = +
⇒ 1.5 =
⇒ 15*x*(x-20) = 10*[50*(x-20)+15*x]
⇒ 15x² - 300x = 500x - 10,000 + 150x
⇒ 15x² - 300x = 650x - 10,000
⇒ 15x² - 950x + 10,000 = 0
⇒ 3x² - 190x + 2,000 = 0
The above equation is in the format of ax² + bx + c = 0
To determine the roots of the equation, we will first determine 'D'
D = b² - 4ac
⇒ D = (-190)² - 4*3*2,000
⇒ D = 36,100 - 24,000
⇒ D = 12,100
Now using the D to determine the two roots of the equation
Roots are: x₁ = ; x₂ =
⇒ x₁ = and x₂ =
⇒ x₁ = and x₂ =
⇒ x₁ = and x₂ =
⇒ x₁ = 50 and x₂ = 13.33
So speed in clear weather can be 50 mph or 13.33 mph. However, we know that in thunderstorm was 20 mph less than speed in clear weather.
If speed in clear weather is 13.33 mph then speed in thunderstorm would be negative, which is not possible since speed can't be negative.
Hence, the speed in clear weather would be 50 mph, and in thunderstorm would be 20 mph less, i.e. 30 mph.
Answer:
Conclusion
There is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean
Step-by-step explanation:
From the question we are told that
The population mean for EBR is
The sample mean for Ascension parish is
The p-value is
The level of significance is
The null hypothesis is
The alternative hypothesis is
Here is the population mean for Ascension parish
From the data given values we see that
So we fail to reject the null hypothesis
So we conclude that there is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean