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
balu736 [363]
3 years ago
7

The average annual salary of the employees of a company in the year 2005 was $80,000. It increased by the same factor each year

and in 2006, the average annual salary was $88,000. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?
f(x) = 88(0.88)x
f(x) = 88(1.1)x
f(x) = 80(0.88)x
f(x) = 80(1.1)x
Mathematics
2 answers:
SIZIF [17.4K]3 years ago
5 0

Answer: f(x) = 80 ( 1.1 ) ^x

Step-by-step explanation:

Let the function that shows the average annual salary after x years since 2005 is,

f(x) = ab^x ----- (1)

Where a and b are any unknown numbers.

For x = 0,

f(0) = ab^0= a

But According to the question,

The average annual salary of the employees of a company in the year 2005 was $80,000.

Therefore, f(0)=80000 dollars.

⇒ a = 80000

From equation (1),

f(x) = 80000 b^x  ------- (2)

Now again according to the question,

In 2006, the average annual salary was $88,000

But the average annual salary in 2006 is f(1) = 80000 b^1

⇒ 80000 b^1=88000

⇒ b = 1.1

Putting the value of b in equation (2),

The average annual salary after x years since 2005 is,

f(x) = 80000 (1.1)^x dollars

Or  f(x) = 80 (1.1)^x thousand dollars

Thus, Fourth Option is correct.


Kryger [21]3 years ago
4 0
The answer is f(x)=80(1.1)x
You might be interested in
What does a z-score of -2 represent
iren [92.7K]
That it is that many deviations away from the mean.
3 0
3 years ago
Rihanna thinks that if a=b and c=d, then a+c=b+d. Is she correct
kap26 [50]

Answer:

yes. that logic works.

8 0
3 years ago
Read 2 more answers
Julain has 200ml of 35% hand sanatizer. Sarah has 150ml of 85% hand sanatizer. They mix the sanatizers together in an effort to
Cerrena [4.2K]

Answer:210ml, 140 ml, 60%

Step-by-step explanation:

Given

Juli has 200 ml of 35% hand sanitizer

Sarah has 150 ml of 85% hand sanitizer

The mixture has 60% con. i.e. 60 % is Alcohol and 40 % water

The final volume of the mixture =200+150=350 ml

Now, 60% of 350 ml= 350\times 0.6=210\ ml

So, pure Alcohol is 210 ml

Water in the final mixture= 350\times 0.4=140\ ml

The concentration of Alcohol is 60%

7 0
3 years ago
For lesson 4.6 practice A what are the answers for 1-16<br>​
sergey [27]
I need to be able to see it ...
5 0
3 years ago
Corinne and Aretha are having a 26-mile race. Corinne gave Aretha a head start by letting her begin 3.5 miles in front of the st
Ronch [10]
From the table, the speed of Corinne is given by

speed=slope= \frac{2.5-1.25}{20-10} = \frac{1.25}{10} =0.125 \ miles / minute

From the graph, the speed of Aretha is given by

speed=slope= \frac{5.5-4.5}{20-10} = \frac{1}{10} =0.1 \ miles / minute

The distance from the starting point of Corinne at any time t is given by D = 0.125t while the distance from the starting point of Aretha at any time t is given by D = 3.5 + 0.1t

Let t be the number of minutes after the start of the race when Corinne catchs Aretha, then

0.125t = 3.5 + 0.1t
0.025t = 3.5
t = 3.5 / 0.025 = 140

Therefore, the number of <span>minutes after the start of the race that Corinne will catch Aretha</span> is 140 minutes.
6 0
3 years ago
Read 2 more answers
Other questions:
  • You want to buy a $ 351,749 home. You plan to pay 15 % as a down payment, and take out a 15 year loan for the rest. What will yo
    8·1 answer
  • What collection of three sides lengths will NOT form a triangle
    9·1 answer
  • What number is 0.5% of 8?​
    6·2 answers
  • How much is it to buy 10 meters of fleece when the rate is $1.60/ft of fabric
    13·1 answer
  • How to graph 30=1x+9y
    11·1 answer
  • What is the slop of the line that passes through the points (1,3) and (2,1)
    15·1 answer
  • HELO ASAP ILL GIVE BRAINLIST
    8·1 answer
  • Solve the equation.<br> x-5(x-1)=x-(2x-3)
    10·2 answers
  • Whoever knows how to solve this please help!​
    14·1 answer
  • Add me fightingking450
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!