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jmac48828
28.07.2019 •
Mathematics
The starting salary at a company is $42,000 per year. the company automatically gives a raise of 3% per year. write a recursive definition for the geometric sequence formed by the salary increase?
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Ответ:
where
We know that the starting salary is $42,000, so
We know from our problem that the company automatically gives a raise of 3% per year, so the next term in the sequence will be 42000 + 3%(42000) = 42000 + 1260 = 43260. Remember that the common ratio is the current term of the geometric sequence divided by the previous term of the sequence; we know that our current term is 43260 and the previous term is 42000, so:
Now we can plug the values in our recursive formula:
We can conclude that the recursive definition for the geometric sequence formed by the salary increase is:
Ответ:
x=0, y=15
Step-by-step explanation:
x/2+y/5=3
(5x+2y)/10=3
5x+2y=30
2y=30-5x
y=(30-5x)/2....(1)
we know, 5x+2y=30
substituting (1)
5x+2×
=30
5x+30-5x=30
5x-5x=1
x=0
y= (30-5x)/2= 30/2=15
let's check the answer,
0/2+15/5=3
15/5=3
3=3
LHS=RHS