A.<span>640/(120+w)
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Given:
The given arithmetic sequence is:

To find:
The recursive formula of the given arithmetic sequence.
Solution:
We have,

Here, the first term is -3. So,
.
The common difference is:



The recursive formula of an arithmetic sequence is:

Where, d is the common difference.
Putting
, we get

Therefore, the recursive formula of the given arithmetic sequence is
, where
.
Answer:
4 minutes
Step-by-step explanation:
The value of 7k "minutes past nine" is the same as 8k" minutes to ten".
Since there are 60 minutes in an hour and 9 and 10 fall in between the same hour, this means that:
7k = 60 - 8k
7k + 8k = 60
15k = 60
k = 60 / 15
k = 4 minutes
To solve the problem we use the compound formula given by:
A=p(1+r/100)^n
where:
A=future amount:
p=principle
r=rate
A=1000000, r=11.6%, n=40
plugging the value in the formula we get:
1000000=p(1+11.6/100)^40
solving for p we get:
1000000=80.6432p
p=12400.300
rounding to the nearest 1000 we get
p=$12000
Answer:
<span>A.) 12,000</span>
Answer:
9x -2
Step-by-step explanation:
(7x + 3) + (4x - 1) - (2x + 4)
Distribute the minus sign
(7x + 3) + (4x - 1) - 2x - 4
Combine like terms
7x+4x-2x +3 -1-4
9x -2