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
shusha [124]
3 years ago
6

Use the following information for problems 1 – 3. Suppose you sign a contract for an annual salary of $50,000 with a guaranteed

raise of 5% each year.
1. Write your salary for the next n years as a geometric sequence in explicit form.

2. What will your salary be in year 5?

3. How much will you have earned in total salary by the end of your 10th year?
Mathematics
1 answer:
erik [133]3 years ago
7 0

Initial salary =  $50,000 .

Rate of raise = 5% each year.

Therefore, each next year salary would be 105% that is 1.05 times.

5% of 50,000 = 0.05 × 50000 = 2500.

Therefore raise is $2500 each year.

According to geometric sequence first term 50000 and common ratio 1.05.

Applying geometric sequence formula

a_n = ar^{n-1}

1) a_n = 50000(1.05)^{n-1}

2) In order to find salary in 5 years we need to plug n=5, we get

a_5 = 50000(1.05)^{5-1}= 50000(1.05)^4

= 50000(1.21550625)

<h3>=$60775.3125.</h3>

3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.

S_n = \frac{a(1-r^n}{1-r}

Plugging n=10, a = 50000 and r= 1.05.

S_10 = \frac{50000(1-(1.05)^{10}}{1-1.05}

S_10 = \frac{50000(0.050)^{10}}{0.05}

= 628894.62678.

<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>



You might be interested in
Line m is parallel to line p. m ∠ HEF = 39º and m ∠ IGF = 13º. Find the m ∠ EFG. Explain in detail how you know you are correct.
svetlana [45]

Answer:

The measure of ∠EFG is 52°

Step-by-step explanation:

Given line m is parallel to line p. m∠HEF = 39º and m∠IGF = 13º.we have to find m∠EFG.

In ΔJFG,

By angle sum property of triangle, which states that sum of all angles of triangle is 180°

m∠FJG+m∠JGF+m∠JFG=180°

⇒ 39°+13°+m∠JFG=180°

⇒ m∠JFG=180°-39°-13°=128°

As JFE is a straight line ∴ ∠JFG and ∠EFG forms linear pair

⇒ m∠JFG+m∠EFG=180°

⇒ 128°+m∠EFG=180°

⇒ m∠EFG=52°

The measure of ∠EFG is 52°

6 0
3 years ago
PLEASE HELP QUICKLY!!
choli [55]

Answer:

By excluding (10, 15), a better description can be given for the data set.

Step-by-step explanation:

Overall, this data seems to suggest a decreasing trend.  The value (10, 15) is an outlier; if we remove it, the trend appears to be stronger.  Thus if we exclude this value we can give a better description of the data set.

6 0
3 years ago
Read 2 more answers
. The concert tickets were $57 plus two souvenirs for your friend and yourself. You spent $94
Lena [83]
Maybe $47 for each souvenir
4 0
3 years ago
Read 2 more answers
A merry-go-round has a circular platform with a diameter of 2 yards. What is the platform's area?
Leni [432]
The area is 50.24 yards
4 0
3 years ago
If 7x+3=24 what is the value of 5-4x?
sleet_krkn [62]
If 7x+3=24, that means x would be 3 so if you take 5-4x then that would be -7.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Si en una proporción geométrica continua, la media geométrica es 24 y la razón es 2/3 ¿Cuánto es la diferencia de los extremos?.
    13·1 answer
  • Kellen​'s boat travels 15 mph. find the rate of the river current if she can travel 2 mi upstream in the same amount of time she
    6·2 answers
  • Write 43 3/4 as decimal
    11·2 answers
  • 1. f(x) = 5x<br> 2. g(x) = 54<br> What are the ranges for these functions
    12·1 answer
  • What irrational number is between 7.7 - 7.9
    14·1 answer
  • What would the answer be?
    13·2 answers
  • In △ABC, m∠A=15 °, a=10 , and b=11 . Find c to the nearest tenth.
    13·1 answer
  • Now round 0.065 to the nearest hundredth.<br><br> 0.065 rounds to?
    13·2 answers
  • 8) What is the common ratio for this sequence?
    6·1 answer
  • A Car’s rectangular gas tank has dimensions 30 cm by 25 cm by 42 cm.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!