Answer:
Rational numbers are; A, E, F, I
Integers are; H and D
Whole numbers are J and B
Natural numbers is G
Please find attached the location of the letters on the real number system
Step-by-step explanation:
Rational numbers are numbers that can be expressed as the ratio, a/b, of two numbers as a/b where a and b are integers
Integers are the negative and positive whole numbers
Whole numbers are the positive counting numbers from 0 and above
Natural numbers are the positive counting numbers, sometimes including 0.
Answer: Explanation and answer is attached.
Step-by-step explanation:
From the table, the speed of Corinne is given by
From the graph, the speed of Aretha is given by
The distance from the starting point of Corinne at any time t is given by D = 0.125t while the distance from the starting point of Aretha at any time t is given by D = 3.5 + 0.1t
Let t be the number of minutes after the start of the race when Corinne catchs Aretha, then
0.125t = 3.5 + 0.1t
0.025t = 3.5
t = 3.5 / 0.025 = 140
Therefore, the number of <span>minutes after the start of the race that Corinne will catch Aretha</span> is 140 minutes.
Answer:
C. 50
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
The higher the margin of error, the wider an interval is.
As the sample size increases, the margin of error decreases. If we want a widest possible interval, we should select the smallest possible confidence interval.
So the correct answer is:
C. 50
Answer:
The exponential equation is <em>A = 600(1.04)^15</em>
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The value of the mutual fund after 15 years is <em>$1,081</em>
Step-by-step explanation:
The value of the mutual fund after the number of years can be represented using the compound interest equation below;
A = P(1 + r/n)^nt
Where A is the value of the mutual fund after 15 years, P is the initial amount invested which is $600, r is the interest rate which is 4% or 0.04(4% = 4/100 = 0.04), n is the number of times we are compounding per year(which is 1 since it is a one time payment per year) and t is the number of years which is 15
Let's plug these values, we have;
A = 600(1 + 0.04/1)^15
A = 600(1.04)^15
A = $1,081 approximately
