Answer:
Recursive
Explicit
Step-by-step explanation:
An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.
The recursive rule is that we have the initial term. To find the subsequent term, we will take that <em>previous term</em> and add it to our common difference.
Hence, we are <em>relating the previous terms</em> to define the nth term.
For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.
Hi !
In this case, C is a piecewise linear function :
Answer:
x = 3.5 is not a solution
Step-by-step explanation:
3x +2 < 12
Subtract 2 from each side
3x +2-2 < 12-2
3x< 10
Divide each side by 3
3x/3 <10/3
x < 10/3
x <3.3333333
Any number greater than 3.3333 is not a solutions
3.5 is not a solution
Let the number of raspberry bushes in one garden = x
And the number of raspberry bushes in second garden = y
Garden one has 5 times as many raspberry bushes as second garden,
So the equation will be,
x = 5y -------(1)
If 22 bushes were transplanted from garden one to the second, number of bushes in both the garden becomes same,
Therefore, (x - 22) = (y + 22)
x - y = 22 + 22
x - y = 44 ------(2)
Substitute the value of x from equation (1) to equation (2)
5y - y = 44
4y = 44
y = 11
Substitute the value of 'y' in equation (1),
x = 5(11)
x = 55
Therefore, Number of bushes in garden one were 55 and in second garden 11 originally.
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Given:
Initial cost of living = $44,000
Rate of increase = 5% = 0.05
To find:
The cost of living in 20 years.
Solution:
The exponential growth model is:

Where, a is the initial value, r is the growth rate and t is the number of years.
Putting
in the above model, we get




Therefore, the cost of living in 20 years is about $116745.10.