Answer:
<h2>The answer is 49</h2>
Step-by-step explanation:
Since the sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
To find the 10th term of the sequence first find the first term and the common difference
From the question
a = 4
d = 9 - 4 = 5 or 14 - 5 = 9
Since we are finding the 10th term
n = 10
Substitute the values into the above formula
That's
A(10) = 4 +(10-1)5
= 4 + 9(5)
= 4 + 45
We have the final answer as
<h3>A(10) = 49</h3>
Hope this helps you
Answer:
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest to pay
P is the amount of money borrowed
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
<span>If I am using the inspection method, the constant term that I would need in the numerator of this rational expression for (x+5) to be a common factor of (x^2+6x+14) / (x+5) is 11/(x+1)</span>
Finding the midpoint coordinates of any segment really boils down to finding the midpoints of each individual coordinate.
The x-coordinates of the two points are -12 and -8 - the number halfway between those two is -10, so that'll be the midpoint's x-coordinate. The y-coordinates are -7 and -4 - -5.5 is halfway between these two, so the y-coordinate will be 5.5.
Putting the two together, the midpoint of the segment WT has the coordinates (-10, -5.5).