Common difference between the terms is 36
Formula for nth term is 
27th term is 961
Given :
X, 2X + 11 and 4X - 3 are consecutive terms of an arithmetic sequence
To Find:
We need to find the constant difference between the given terms and also find the nth term . Also find the 27th term .
To find the difference , we need to take the difference of consecutive terms
Both the common differences are equal
First term is 25
second term is 2(25)+11=61
Difference is 61-25=26
Common difference = 36
Use nth term formula is
To find 27th term , replace n with 27
Learn more : brainly.in/question/41142594
Answer:
Relative minimum: 
, Relative maximum: 
Step-by-step explanation:
First, we obtain the First and Second Derivatives of the polynomic function:
First Derivative
(1)
Second Derivative
(2)
Now, we proceed with the First Derivative Test on (1):
The critical point is 
.
As the second derivative is a constant function, we know that critical point leads to a minimum by Second Derivative Test, since 
.
Lastly, we find the remaining component associated with the critical point by direct evaluation of the function:
There are relative maxima.
Step-by-step explanation:
General equation of a line in slope intercept form is given by
y = mx+c
where m is slope and c is y-intercept
Here, y = 5x+9
You would make at least 24 eggs ( 3 packs of eggs and 2 packs of cheese )
Hope it helps
Given:
Income made last year = $30,000
Tax rate for the first $7000 = 15% = 0.15
Tax rate for the amount over $7000 = 18% = 0.18
Let's find the amount Linda must pay in income tax last year.
To find the amount she must pay, we have:
Tax for first $7000 = 0.15 x 7000 = $1050
Tax for amount over $7000 = 0.18 x (30000 - 7000)
= 0.18 x 23000 = $4140
Therefore, the amount she must pay in income tax is:
T = $1050 + $4140 = $5,190
Linda must pay $5,190 in income tax for last year.
ANSWER:
$5,190
