Answer:
31st term = 84
Step-by-step explanation:
Given:
204, 200,196,...
Find:
31st term
Computation:
204, 200,196,...
First term a = 204
Difference d = a3 - a2
Difference d = 196 - 200
Difference d = -4
An = a + (n-1)d
A31 = 204 + (31-1)(-4)
A31 = 204 - 120
A31 = 84
C. 118.2
1 and 2 make a complimentary angle, so 2=118.2
2 and 6 are corresponding, so angle 2=angle 6 (118.2 = 118.2)
This is tricky because we are given the interest rate for the year but the problem is figureing the interest for 6 months or 1/2 year. We will have to double the difference before solving for the yearly interest.
572.60 - 560.00 = 12.60 interest added for 6 months x 2 = 25.20 for 12 months
(This problem assumes the interest will stay the same the next 6 months)
We need to find what percent 25.20 is to our original balance.
25.20/560 = x / 100
2520 = 560x
x = 4.5 percent interest
Check .045 x 560.00 = 25.20 interest in one year (or 12.60 in 6 months)
The answer is: -1.66666666667 to be exact