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
andriy [413]
3 years ago
7

Suppose you begin a job with an annual salary of $32,900. Each year you are assured of a 5.5% raise. What its the total amount t

hat you can earn in 15 years? A) $34,815 B) $51,751 C) $737,245 D) $1,682,920
Mathematics
1 answer:
olga2289 [7]3 years ago
4 0

Answer: the total amount that you can earn in 15 years is $737245. Option C

Step-by-step explanation:

You receive an annual salary of $32,900 and each year, you are assured of a 5.5% raise. Assuming there was no raise, you get 100% of your previous salary each year. With a raise of 5.5%, you will get 100 + 5.5 = 105.5% of your previous salary for each year. This is a geometric progression and we want to determine the sum of 15 terms(15 years).

The formula for the sum of terms in a geometric progression is

Sn = [a(r^n - 1)]/ r - 1

Sn = sum of n terms

a = the first term

n = number of terms

r = common ratio

From the information given,

a = 32900

n = 15

r = 105.5/100 = 1.055

S15 = [32900(1.055^15 - 1)] / 1.055 - 1

S15 = [32900(2.23247649 - 1)] / 0.055

S15 = 32900 × 1.23247649) / 0.055

S15 = 737245.0277

S15 = $737245

You might be interested in
Find the distance between the point (-6, 7) and (-1, -2)
Anton [14]

(-5,9) because -6—1=-6+1 which equals -5 and 7—2=7+2 which equals 9

8 0
3 years ago
the capacity of a school swimming pool is 243m cubed. An olympic pool is 50 m long, 25 m wide and 2 m deep, How much greater is
sveticcg [70]

Answer:

2257m3

Step-by-step explanation:

50x25x2=2500

2500-243=2257

6 0
2 years ago
a parking meter accepts only 20p coins or 50p coins.On one day, 39 coins were collected with a total value of $11.40. find how m
Snowcat [4.5K]

Answer:

x + Y = 39 or x = 39-y

20x + 50y = 1.40

20 (39 - y) + 50y = 11.40

7.80 - 20y + 50y = 11.40

30y = 11.40 - 7.80

30y = 3.60

y = 3.60/30

y = 12 50p coins were collected.

x = 39 - 12 = 27 20p coins were collected.

Proof:

20*27 + 50*12 = 11.40

5.40 + 6 = 11.40

11.40 = 11.40

I hope it helps.

6 0
2 years ago
Read 2 more answers
Which system of linear inequalities is graphed? {y>3x−2x+2y<4 {y≥3x−2x+2y≤4 {y≤3x−2x+2y≥4 {y<3x−2x+2y>4 A graph of a
guajiro [1.7K]

Answer:

{y≥3x−2

{x+2y≤4

3 0
2 years ago
The sum of two numbers is 12. The first number,X, is twice the second number,y, which system of equations could be used to find
koban [17]

Answer:

y=4, x=8

Step-by-step explanation:

system:

x+y = 12, x=2y

convert to 1 variable, simplify:

2y+y=12

3y=12

y=4

x=2y=4*2=8

6 0
3 years ago
Read 2 more answers
Other questions:
  • the math competition had 108teams on the first day. on the second day there were 10 less teams than on the first day how many te
    14·2 answers
  • Sam is practicing long track speed skating at an ice skating rink. The distance around the rink is 250 yards. He has skated arou
    5·1 answer
  • Every possible cross section of a three-dimensional figure is a circle. What is the figure?
    5·1 answer
  • A bag contains 10 marbles. Four of
    8·1 answer
  • Write the equation of a parabola with vertex (2,-1) and directrix y=-3
    14·1 answer
  • Which is the graph of f(x) = x2 - 2X + 3?
    6·2 answers
  • Stephanie has 334
    13·1 answer
  • [ tan2 θ ] – [( sec θ – 1 )( sec θ + 1 )
    15·1 answer
  • Quizziz 9th grade help please
    5·2 answers
  • For brainiest:):):):)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!