The sequence is, in fact, quadratic. It is described by the equation
.. a[n] = (n*(n -1))/2 +2
First differences are increasing, so the sequence will not be arithmetic. An arithmetic sequence has constant first differences.
Second differences are constant, so the sequence will not be geometric. A geometric sequence will have first-, second-, third-differences, and those to any level, that have the same constant ratio as the terms of the original sequence.
5 - 6 = -1
2 + 7 = 9
-1 × 9 = -9
-9 would be the simplified answer.
Hope this helps!
Answer:
Step-by-step explanation:
For a. the 14.7 represents the pressure that the air puts on you all the time.
For b. the d represents the depth you go under the surface of the water.
For c. we have to solve p(d) when d = 8:
p(8) = 14.7 + 0.445(8) so
p(8) = 14.7 + 3.56 and
p(8) = 18.26 psi
Answer:
45 sq cm
Explanation:
Answer:
Option C is correct ,14.2%
Step-by-step explanation:
In order to determine the effective tax rate of a taxpayer with taxable income of $52,000,the starting point to determine how much in taxes the taxpayer pays as shown below:
First tax bracket=$9,525*10%=$952.5
Second tax bracket=$952.50+(12%*($38700-$9,525))
=$952.50+$3501
Third tax bracket(where the taxpayer belongs)=4453.5
+(22%*($52,000-$38,700))
third tax bracket tax=4453.5+$2926
=$7379.5
Since the total tax payable of $7379.5 is now computed,
effective tax rate=tax paid/taxable income=7379.5/52000
=14.2%
