Answer:
The reason for the decreasing sequence is 
the sum of the sequence is -243
Step-by-step explanation:
Note that the numbers are decreasing so we will use the following formula to find the sum:
S∞=
,
where t1 is equal to the first number of the sequence and q is the reason that gives the following results.
to find q this form is used;
q= 
then we replace in the formula of the sum to find the total
To solve this question make an equation
450 x 0.15 = X
0.15 = the percentage taken out of the paycheck
67.5 = Social Security Taxes
450 - 67.5
= $382.5
Or the easier way if you want it straight away
450 x 0.85 = $382.5
0.85 = percentage taken home
Answer:
y=4 mm
Step-by-step explanation:
All angles in a triangle add up to 180: 180=∠M+∠P+∠N, ∠M=180-60-90=30
<u>Use sine rule</u>
a/sinA=b/sinB
PN/sin∠M=PM/sin∠N
y/sin30=8/sin90
y=8/1 *sin30
y=8*0.5
y=4 mm
First find the gradient by using partial derivatives.

Sub in given point (0,-1,2) for x,y,z
∨

Next, find unit vector from directional vector (0,-1,2) --> (-3,4,-3)

Finally, use dot product on gradient and unit vector to get directional rate of change.
Answer is approx 61.398