The exponential formula for this situtation will be given by:
f(x)=ae^(-bx)
where:
a=initial price
b=rate
x=time in years
hence the formula will be:
f(x)=28750e^(-0.12x)
thus the value of the car in 2018 will be:
x=2018-2012=6 years
thus
f(6)=28750e^(-0.12*6)
f(6)=$13,994.13
When testing the differences between means, the null hypothesis suggests that any observed difference is due to random error.
What is hypothesis testing?
Hypothesis testing is a form of interference that uses data from a given data set or sample to derive meaningful results or conclusions about population distribution.
What is a Null hypothesis?
A null hypothesis is a type of assumption in statistics that proposes that for a given set of data or observations, there is no statistical significance or it shows that there is no difference.
It is a quantitative analysis. It is denoted by H0.
What is mean?
The mean is the average for a given number of samples in the sample solution. The mean can also be derived from the normal distribution graph.
Hence when testing the differences between means, the null hypothesis suggests that any observed difference is due to random error.
Know more about “hypothesis” here: brainly.com/question/17099835
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<h2>
The greatest possible value of the second root, β = 54 </h2>
Step-by-step explanation:
The given quadratic equation:

Let α and β be the roots of the given quadratic equation.
α = 36
To find, the greatest possible value of the second root ( β) = ?
∴ The sum of the roots,
α + β = 
⇒ 36 + β =
⇒ 5m = 36 + β ............. (1)
The product of the roots,
α.β = 
⇒ 
⇒
............. (2)
From equations (1) and (2), we get
⇒ 
⇒ 
⇒ 
⇒ β(β - 54) - 24(β - 54) = 0
⇒ (β - 54)(β - 24) = 0
⇒ β - 54 = 0 or, β - 24 = 0
⇒ β = 54 or, β = 24
∴ The greatest possible value of the second root, β = 54
Answer:
X * (X +1) = 420
X^2 + X = 420
X^2 + X -420 = 0
X = 20
Step-by-step explanation: