Answer:
The interest is $1.5 and the amount is $61.5.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What makes it a function?
If an x is unique but y can be duplicated
A is correct because the x are unique
B is incorrect because 3 is used twice
C is incorrect because -5 and -10 is used twice
D is incorrect because 20 is used twice
The length of the rectangle is 3 cm
<h3>Applications of Quadratic equations</h3>
From the question, we are to determine the value of the length of the rectangle
To find the length of the rectangle, we will determine the value of x in the given equation
The given equation is
This can be written as
Factorizing
Then,
OR 
x = 3 OR x = -8
Since, the length of the rectangle cannot be negative, the value of x is 3.
Hence, the length of the rectangle is 3 cm.
Learn more on solving quadratic equations here: brainly.com/question/8649555
Complete question :
The average daily volume of a computer stock in 2011 was p = 35.1 million shares, according to a reliable source. A stock analyst believes that the stock volume in 2014 is different from the 2011 level. Based on a random sample of 40 trading days in 2014, he finds the sample mean to be 30.9 million shares, with a standard deviation of s = 11.8 million shares. Test the hypotheses by constructing a 95% confidence interval. Complete parts (a) through (c) below. State the hypotheses for the test. Construct a 95% confidence interval about the sample mean of stocks traded in 2014.
Answer:
H0 : μ = 35.1 ;
H1 : μ < 35.1 ;
(26.488 ; 35.312)
Step-by-step explanation:
The hypothesis :
H0 : μ = 35.1
H1 : μ < 35.1
The confidence interval :
Xbar ± Margin of error
Xbar = 30.9
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 95% = 1.96
Margin of Error = 1.96 * (11.8/sqrt(40))
Margin of Error = 4.412
Lower boundary :
30.9 - 4.412 = 26.488
Upper boundary :
30.9 + 4.412 = 35.312
Confidence interval = (26.488 ; 35.312)
Since the population mean value exists within the interval, the we fail to reject the Null.
Height in feet is represented by 
The height of the ball is 0 feet when it hits the ground.
So we replace height f(x) by 0 and solve for x to find the time taken to reach the ground
( divide by -16 on both sides)
Now factor it
(x-6)(x+1) =0
x-6 =0 and x+1=0
x=6 and x=-1
Time cannot be negative so we ignore -1
x = 6 seconds
It will take 6 seconds for the ball to reach the ground.
