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
WARRIOR [948]
2 years ago
12

A math teacher gets a starting salary of $30,000. IF she gets a 1.5% increase in salary each year, what will her total income be

over a thirty year period?
This was a past mathlete problem.
I know we have to use an exponential function, but do I have to use the base e? Or should I just do a base of 1.015?
Mathematics
1 answer:
kolezko [41]2 years ago
5 0
No it is not base e.  It is 1.015.

An increase of 1.5 % =  1.015 

Year            1,             2,                       3,.........................., 30.
               30000, 3000(1.015),  30000(1.015)²,........... 30000(1.015)²⁹

Her Total Income is sum over the thirty 30 year period:

Sn =  a(r^n  - 1) / (r - 1);                a = 30000,  r = 1.015,  n = 30

Sn =  30000 ( 1.015^30  -  1) / (1.015 - 1)

      =  30000 (1.56308022 - 1) / (0.015) =  1126160.44

Total =  $ 1 126 160.44

You might be interested in
What is <br> the ratio equal for 90:18
Ann [662]
To find the ratio between 2 numbers, you need to find the GCF of those 2 numbers. If the GCF is the ratio, the ratio is in it's simplest form.
GCF of 90 and 18 is 18
divide both numbers by the GCF and the final simplest ratio is 5:1
4 0
3 years ago
Read 2 more answers
Which of the following are polynomial functions? Check all that apply.​
steposvetlana [31]

Answer:

C and E

Step-by-step explanation:

A polynomial is a function where the only operation is an exponent on the variable. It can have just one term or many terms. For example, x^2 is a polynomial but x^2 / x+3 is not since it also contains division. This is a rational. Using this definition then only C and E are polynomials.

Choice A has a rational term. This is not polynomial.

Choice B has an exponent of -2 which is actually division. This is rational and not polynomial.

Choice D has a radical term with the variable. This is not polynomial.

7 0
3 years ago
4x + 11y = 7<br> 4x + 3y = -1
Serhud [2]

Answer:

x= - 1

y= 1

Step-by-step explanation:

qwertyuiopsknzvzbjzjjs

5 0
2 years ago
A box plot is known as a box-and-mustache plot?<br> <br><br>True<br>or <br>False<br>??
vladimir1956 [14]
This will be false a box plot is also known as quantile plots
6 0
3 years ago
Read 2 more answers
(5x-4) (3x+2) multiply
ivolga24 [154]

Answer:

15x^2-2x-8

Step-by-step explanation:

i did it on a paper just don't want to write cause its going to be to much to write hope this helps good luck

3 0
3 years ago
Other questions:
  • Note the graph of an athletes performance after finishing a triathlon. The x-axis measures time in hours, and the y axis measure
    6·2 answers
  • If a 5 foot post casts an 8 foot shadow at the same time that a nearby tree casts a 48 foot shadow how tall is the tree
    15·1 answer
  • What is the area of this figure?<br><br><br><br> Enter your answer in the box.
    12·2 answers
  • What term describes 3y-5
    14·1 answer
  • Which of the following functions is graphed below?
    11·1 answer
  • PLEASE HELP ASAPPPPPP!!!!!!!!!!!!
    5·1 answer
  • Amela put 15x- 4 gallons of gas in her car at the beginning of the week. She used 7x-3 gallons driving to work. Which of the fol
    6·2 answers
  • PLEASE HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • Z=5x-y solve for x plz help
    14·1 answer
  • What is the product?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!