The average annual salary of the employees of a company in the year 2005 was $70,000. It increased by the same factor each year and in 2006, the average annual salary was $82,000. 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)?
Answers
an = a0(r)^(n-1)
Or
f(x) = a0(r)^(x - 1)
Plugging in the given values for the year 2005 and 2006 to ge the value of r.
82000 = 70000 (r)^(1-1)
r = 1.1714
Therefore, the function is:
f(x) = 70,000 (1.1714)^(x-1)
The function best represents the relationship between x and f(x) will be .
What is a function?
A function is defined as a relation between the set of inputs having exactly one output each.
The general formula for the geometric series to generate the function represents the average annual salary.
Or
The values for the years 2005 and 2006 to get the value of r.
Therefore, the function will be:
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Express 0.000 000 698 in scientific notation
Hello help 4 brainliest answer!
Credit discount definition
Answers
12 - 1/4 = 47/4 or 11 3/4
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then you multiply 18/1 by three and turn it into 54/3
then you do 54/3-1/3 which equals 53/3
answer is 17 2/3
Answers
Final answer:
The volume of water can be calculated by dividing the mass of water by the density of water.
Explanation:
The question asks for the volume of water when 700 kilograms of water and 450 kilograms of ice are combined in a container. To find the volume of water, we need to subtract the volume of ice from the total volume. The density of water is 1000 kg/m³, so the volume of water can be calculated by dividing the mass of water (700 kg) by the density of water (1000 kg/m³).
Volume of water = Mass of water / Density of water
Volume of water = 700 kg / 1000 kg/m³
Volume of water = 0.7 m³
Learn more about density of water here:
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take her principal to triple?
Answers
Answer:
It will take approximately 17 years
Step-by-step explanation:
Let the initial investment be x
The investment plus the principal yields 3x
The interest is thus 3x-x = 2x
Formula for simple interest is;
I = PRT/100
R is rate = 12%
T is time = ?
x =$2,000 which is the principal
2x = x * 12 * T/100
2 = 12t/100
12t = 200
t = 200/12
t = 16.67 which is approximately 17 years
Answers
Answer:
78miles/hour
Step-by-step explanation:
If a helicopter flies 312 miles against the wind in 2 hours, the speed of the helicopter in air is expressed as shown;
Speed = Distance/Time
Speed = 312miles/2hours
Speed = 156miles/hr
The speed of the helicopter against the wind is 156miles/hr
If it can fly 468 miles in the same amount of time, the speed during this time at this distance will be;
speed = 468 miles/2hours
Speed = 234miles/hr
The speed of the helicopter in still air = Speed while flying - Speed while against the wind
The speed of the helicopter in still air = 234miles/hr - 156miles/hr
The speed of the helicopter in still air = 78miles/hour
Answers
Answers
Answer:
Option B is right.
Step-by-step explanation:
given is an equation of a parabola
Vertex is (0,2)
It is open down.
Axis of symmetry is x=0 or y axis
Hence focus will lie on axis of symmetry ie y axis.
THe parabola has -4a = -4
Hence a = 1
SO focus will lie inside the parabola on axis of symmetry with a distance of a units from the vertex.
i.e. focus would equal = (0,2-1) = (0,1)
Option B is right
The coordinates are
The coordinates, thus, are