1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natali [406]
3 years ago
8

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?
Mathematics
1 answer:
cricket20 [7]3 years ago
8 0
To solve this, we are going to use the recursive formula for a geometric sequence: a_{n}=a_{1}r^{n-1}
where
a_{n} is the nth term of the geometric sequence.
a_{1} is the first term of the geometric sequence.
r is the common ratio 
n is the position of the term in the sequence. 

We know that the starting salary is $42,000, so a_{1}=42000. Now, to find the common ratio r, 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>r= \frac{43260}{42000}
r=1.03
<span>Now we can plug the values in our recursive formula:
</span>a_{n}=a_{1}r^{n-1}
a_{n}=42000(1.03)^{n-1}

We can conclude that the recursive definition for the geometric sequence formed by the salary increase is: a_{n}=42000(1.03)^{n-1}
You might be interested in
Estimate the answer to 28.56 – 15.98 by first rounding each number to the nearest whole number. A. 13 B. 12.7 C. 12 D. 10
Scorpion4ik [409]
The answer is 12.58 rounded up it would be 13 so the correct answer is A
6 0
3 years ago
Read 2 more answers
100m world record was completed at an average speed of 37.6 km/h. work out this speed in meters per second?
pickupchik [31]

Step-by-step explanation:

1 km = 1000 m

1 hour = 3600 s

so,

37.6 km = 37,600 m (still per hour or per 3600 s).

in 1 second now that is

37600/3600 = 10.44444444... m/s

4 0
1 year ago
What Is the percent equal to 3/10
lianna [129]
30 %
3/10 * 10 = 30/100
30/100= 30%
6 0
2 years ago
Does anyone know the answers to this questions
steposvetlana [31]

Answer:

6c + 36 =  6(c+6)

(6*c) + (6*6) =   6(c+6)

2(3c+3) =  6c+6

(6+c)+(6+6) =  neither

3c+6+3c =  6c+6

6c+12 =  neither

correct me if I am wrong cuz i haven't done this in 2 years

Step-by-step explanation:

going across the top row then the bottom

8 0
2 years ago
Math question down below
tensa zangetsu [6.8K]
The mean is the average.
To solve for the average we add all the numbers up and divide by how many numbers there are.
21, 23, 25, 25, 26, 28, 28, 28, 31, 33.
268 total, now divide by how many numbers there are.
268/10
Your mean is 26.8
8 0
2 years ago
Read 2 more answers
Other questions:
  • Which unit is not a unit of speed?<br> Circle your answer.<br> km/h<br> km<br> m/s<br> mph
    12·1 answer
  • What is the mean of the set of numbers? –14, –8, –1, 2, 6 A. –1 B. 2 C. 3 D. –3
    14·2 answers
  • ANSWER A LOT OF POINT!! Marvin made chili for a football party. He started making the chili at 3:55 P.M. It took 1 hour and 15 m
    15·1 answer
  • QuesLUIT<br> Which of the following would be equivalent to 32. 35? (4 points)<br> O 31. 37
    7·1 answer
  • PLEASE HELP!!!
    12·2 answers
  • What is the domain and range of the relation shown in the table?
    13·1 answer
  • If 2 inches in the drawing represents 1 mile, which distance is closest to the length of
    8·1 answer
  • caroline won $250,000 in a lottry. after paying $96,000 in taxes, she placed the remaining amount in a savings account at 2% int
    10·1 answer
  • What size pizza should she order to get 37.68in of crust?
    7·2 answers
  • D(-4,1),A(-2,5,s(-1,4)N(-1,2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!