Answer:
see explanation
Step-by-step explanation:
(a)
The common difference (d) in an arithmetic sequence is
d = 
- 
= 24 - 2 = 22
To obtain the next term in the sequence add 22 to the previous term
= 46 + 22 = 68
= 68 + 22 = 90
= 90 + 22 = 112
--------------------------------------------------
(b)
The n th term of an arithmetic sequence is
= a + (n - 1)d
where a is the first term and d the common difference
here a = 2 and d = 22, hence
= 2 + 22(n - 1) = 2 + 22n - 22 = 22n - 20 ← n th term formula
---------------------------------------------------------------------
(c)
Using the n th term formula
= (22 × 35) - 20 = 770 - 20 = 750
Answer:
C - 376.76
Step-by-step explanation:
each year, multiply the previous year's amount by 1.03 - the 1 because it will be increasing and the .03 because it will be increasing by 3% (.03 = 3% in decimal form)
year 0: 325
year 1 (+3%): 325 x 1.03 = 334.75
year 2 (+3%): 334.75 x 1.03 = 344.79
year 3 (+3%): 344.79 x 1.03 = 355.14
year 4 (+3%): 355.14 x 1.03 = 365.79
year 5 (+3%): 365.79 x 1.03 = <u>376.76</u>
Answer:
There are 111 blue bags
Step-by-step explanation:
Let
x ----> the number of black bags
y ---> the number of blue bags
we know that
isolate the variable y
-----> equation A
----> equation B
substitute equation B in equation A
therefore
There are 111 blue bags
Supplementary angles add up to 180 degrees, so look for two angles by each other that add up to 180 degrees.
Hope this Helps!
Answer:
Technically it is 5/12, but as a percentage it would be 41.6666%
