Answer:
Domain = 0≤m≤20 for mEZ+
Range = $100≤A≤$700 for all values of m
Step-by-step explanation:
Initial amount in the account = $100
Amount saved by beth monthly = $30
Amount in the bank after X month = $100+$30X where X is the number of months beth intend to save up to.
The amount in her bank in her first month = $100+$30(1)
= $100+$30
= $130
Amount saved in the second month will be when X = 2
= $100+$30(2)
= $100+$60
= $160
The amount in the bank will keep increasing by $30 monthly until the 20month.
The amount he will have in her bank in the 20th month will be at when X = 20
= $100+30X
= $100+30(20)
= $100+$600
= $700
This means that her money will be $130 in the first month and will keep increasing until it reaches $700 in the 20th month.
The DOMAIN will be the interval of the time she used in saving. Since she saved for 20months, the domain will be expressed as 0≤m≤20 for mEZ+ where m is the number of month she uses to save.
The Range will represent the amount she saved within the specified time and will be expressed as $100≤A≤$700 for all values of m.
Where $100 is the amount in the account initially and $700 is the amount in the account after 20 months.
9514 1404 393
Answer:
A (first choice), F (last choice)
Step-by-step explanation:
Formulas for arithmetic sequences are generally written in one of two forms. The form you're given here is called an "explicit" formula. For some value of n, you can find the n-th term by evaluating the formula.
The form used in the first three answer choices is called a "recursive" formula. The value of the n-th term depends not on 'n', but on the previous term.
These two forms can be converted to each other like this:
explicit formula ⇔ recursive formula

The values of the first term (A₁), the common difference (d), and the term index number (n) are the same in both forms. Once you see this relationship, you should be able to find ...
- the first term
- the common difference
- the other formula for the same sequence
__
Here, the given function tells you ...
This means the formulas that describe the same sequence are ...

_____
<em>Additional comment</em>
The commutative property of multiplication tells you that (n-1)(4) = 4(n-1). The order of the operands makes no difference. The given function has the first of these forms, the offered answer choices have the second of these forms.
Answer:

Explanation:
A circle whose center is
and radius
, has equation:

The center of circle is given as origin
, therefore:

This circle passes
, then the radius of circle is the distance
between origin
and 

=> 
Substitute
,
, and
back into original equation:

or

Hope this helps!
:)
Answer:
Step-by-step explanation:
Let the number be y & reciprocal simply means inverse of the number
4×1/y=2×1/8 solving for y
4/y=2/8; y = 16