To solve this, we are going to use the recursive formula for a geometric sequence:

where

is the nth term of the geometric sequence.

is the first term of the geometric sequence.

is the common ratio

is the position of the term in the sequence.
We know that the starting salary is $42,000, so

. Now, to find the common ratio

, we need to find the next term in the sequence first:
We know from our problem that t<span>he 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:
</span>


<span>Now we can plug the values in our recursive formula:
</span>


We can conclude that the recursive definition for the geometric sequence formed by the salary increase is:
Answer:
Step-by-step explanation:
AL is congruent to EK, and angle K is congruent to angle L. The only other congruency not marked but you know to be true is that, by the reflexive property, side AE is congruent to side AE. But that would give us a congruency statement SSA which is not actually a way to prove triangle congruency (you'll learn why if you take pre-calculus). So none of the choices work for what you're given.
Answer:
Martin's graph shows a proportional relationship because Isabelle had to pay 3 extra dollars.
Step-by-step explanation:
Martin's equation y=5x
Isabelle's equation y=5x+3
I put a picture of the lines graphed on the graph.
I hope this helps and have a great day.
Let event A be the probability of getting a number greater than 3.
P(A) = 3/6
Let B be the probability of getting a prime number.
P(B) = 3/6
However 5 is common to both events.

A union B is the event A or B.


<span>Therefore the probability that he gets a number greater than 3 or a prime number
is 5/6.</span>
Answer:
there is 20 students
Step-by-step explanation:
for every 5 students there is 15 pieces of paper
so if you were to multiply 15 by 4 to get sixty you would do the same to the students and that is where you would get the answer 20