Answer:
fourth option
Step-by-step explanation:
Common difference is given by difference of two consecutive term
d = nth term - (n-1)th term
______________________________________
for all the series lets take second term as nth term
and first term as (n-1)th term
_________________________________________
for first series
n th term = -3 1/2 = -3.5
(n-1)th term = -5
therefore
d= -3.5 -(-5) = -3.5 +5 = 1.5
______________________________________
for second series
n th term = 4 1/2 = 4.5
(n-1)th term = 2 1/2 = 2.5
therefore
d= 4.5 -(2.5) =2
_________________________
for third series
n th term = 3
(n-1)th term =1.5
therefore
d= 3 - 1.5 = 1.5
__________________________________
for fourth series
n th term = -1.5
(n-1)th term = -4
therefore
d= -1.5 -(-4) = -1.5 + 4 = 2.5 = 2 1/2
___________________________________
Thus, based on above solution option four has common difference of 2 1/2
Answer:
the answer is 52.
Step-by-step explanation:
because of the locations of the two angles, it can be concluded that 156=3x.
now you have an equation.
solve for x.

hope this helps ;)
Answer:
$28,188.46
Step-by-step explanation:
The formula you need is:

Where A(t) is the amount after the compounding, P is the initial investment, r is the interest rate, n is the number of compoundings per year, and t is the time in years. We are looking for A(t). P is $14,250; r in decimal form is .0525; n is 52 since there are 52 weeks in a year; t is 13 years. Filling in:

Simplifying inside the parenthesis and the exponential multiplication:

Raising the number in parenthesis to the power of 676 gives us:
A(t) = 14,250(1.978137432)
Multiplying then gives us $28,188.46
Answer:
f(-1) = -8
f(1) = -12
Step-by-step explanation:
-1 and 1 are inputs to the function f which is shown on the graph.
The inputs are on the x-axis so when x = -1, the graph shows that the function f at -1 is approximately -8.
When x = 1, the function f is approximately -12.