Answer:
see explanation
Step-by-step explanation:
The common difference d of an arithmetic sequence is
d =
-
=
- 
Substitute in values and solve for k, that is
5k - 1 - 2k = 6k + 2 - (5k - 1)
3k - 1 = 6k + 2 - 5k + 1
3k - 1 = k + 3 ( subtract k from both sides )
2k - 1 = 3 ( add 1 to both sides )
2k = 4 ⇒ k = 2
--------------------------------------------------------
The n th term of an arithmetic sequence is
=
+ (n - 1)d
= 2k = 2 × 2 = 4 and
d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5
Hence
= 4 + (7 × 5) = 4 + 35 = 39
0 - 18 = -18
-18 + 9 = -9 ft
Since the manufacturing company is expected to have a lower output by 8.4%, the output in 2016 will only be 91.6%. Given also that their output in 2006 is 1.8 billion dollars, we multiply this value by the decimal equivalent of 91.6% to determine the answer. That is,
projected output in 2016 = ($1.8 B) x (0.916)
= $1.6488 B
Thus, the expected output in 2016 is approximately $1.6488 B.
Whole numbers are positive numbers without decimals. First, list all the whole number factors of 36:
1 and 36
2 and 18
3 and 12
4 and 9
6 and 6
Next, see which one of those pairs has the highest sum:
1+36=37
2+18=20
3+12=15
4+9=13
6+6=12
The greatest possible sum the numbers can have is 37.
Hope this helps!!
Answer:
$500 invested at 3%
$1300 invested at 6%
Step-by-step explanation: