Hi guys, I need help to solve this. I can’t understand how the percentage is calculated in (a) and (b) and how the rent is calcu
lated in (c) because we have no numbers given.
1 answer:
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Answer:
The statement is true for every n between 0 and 77 and it is false for
Step-by-step explanation:
First, observe that, for n=0 and n=1 the statement is true:
For n=0:
For n=1:
From this point we will assume that
As we can see, and
. Then,
Now, we will use the formula for the sum of the first 4th powers:
Therefore:
and, because ,
Observe that, because and is an integer,
In concusion, the statement is true if and only if n is a non negative integer such that
So, 78 is the smallest value of n that does not satisfy the inequality.
Note: If you compute for 77 and 78 you will obtain:
The guy ran at a speed of 8.07783 MPH
Here's how I got my answer:
1 km/hr. = 0.621371
So, if you do you will get your answer: 8.07783 MPH
Answer:
Two other points: (2, 4) (6, 4)
Step-by-step explanation:
A line with a slope = 0 is a horizontal line [with a y-intercept of (0, <em>b</em>)], given by the linear equation, <em>y</em> = 4<em>. </em>This means that the y-coordinate will always equal to 4, regardless of its corresponding x-coordinate. Basically, we could choose any x-coordinate to pair with the y-coordinate of 4.
I chose the ordered pairs, (2, 4) and (6, 4).
Attached is a screenshot of the graphed linear equation, y = 4.
