The linear equation that is asked from the problem takes the form of:
y = m x + b
where,
y = the median salary
x = the number of years
m = the slope of equation
b = y-intercept
The slope of the equation (m) can be calculated using the formula:
m = (y2 – y1) / (x2 – x1)
m = (1326720 – 441300) / (2008 – 2000)
m = 110,677.5
The y-intercept is then obtained by using any of the data pair:
441300 = 110677.5 (2000) + b
b = -220913700
Therefore the complete equation is:
y = 110677.5 x – 220913700
The median salary in 2016 is therefore:
y = 110677.5 (2016) – 220913700
y = $2,212,140
Answer:
$2,212,140
c+1/c-2 = 4/7 please show how you got the answer
Solve the equation by completing the square. Round to the nearest hundredth if necessary? X^2+3x=24
How to simplify the expression 60/(-4)
A recipe for muffins calls for 3⁄5 of a cup of sugar and 4 cups of flour. If you want to make a bigger batch, using 5 cups of flour, how much sugar will you need?
11 POINTS GUYS PLZ
Answer 12 and 14
12) 10.77 + 2.09 + 0.75 = 13.61
13.61 x 1.07 = $14.56
total amount = $14.56
14) C shows the possible combinations
In italy about 74 of every 100 people use celular telephones. Write the fraction of celular phone users in italy. Then write it as a decimal.
if O represents number of integers between 10,000 and 100,000 all of whose digits are odd, and E represents number of integers between 10,000 and 100,000 all of whose digits are even, what is the value of O - E?
When the factors of a trinomial are (x - p) and (x - q) then the constant term of the trinomial is:
A. The quotient of -p and -q
B. The product of -p and -q
C. The difference of -p and -q
D. The sum of -p and -q
The constant term will be the product of -p and -q.
What is a trinomial?A trinomial is an algebraic expression that has three non-zero terms and has more than one variable in the expression.
Given that the factors of a trinomial are (x - p) and (x - q) we need to determine the constant term of the trinomial:
We know that a trinomial in its factors form can be written as,
x² + (α+β)x + αβ, where α and β are factors.
So, here the constant term of the trinomial will be (-p) × (-q) = pq.
Hence the constant term will be the product of -p and -q.
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What is the area of a triangle that has a height of 4 feet and a base length of 9 feet? 18 feet2 36 feet2 144 feet2 324 feet2
18 feet is the answer hope this helps!!
Solve the equation for the letter L: A=LW
L = AW
L equals W over A
L = A − W
none of the above
The sum of 74 and four times a number is 258. Find the number
The unknown number is 46.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Let the number be x.
The sum of 74 and four times a number is 258,
⇒ [tex]74+4x=258[/tex]
⇒ [tex]4x=258-74[/tex]
⇒ [tex]x=\frac{184}{4}[/tex]
⇒ [tex]x=46[/tex]
Hence we can conclude that the unknown number is 46.
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Everett made 3/5 of the baskets he shot. Suppose he shot 60 baskets. How many did he make?
Module 04.03 Exponential Functions and Models: Essential Questions:
1) How do the properties of exponents apply to exponential functions?
2)How are key features of graphs and tables used to model relationships between two quantities?
3)How can the average rate of a change be identified for a function?
*PLEASE HELP! NEED TO KNOW THIS.*
Properties of exponents are used to simplify and manipulate exponential functions. In graphing, growth rate, intercept, and asymptotes model relationships. The average rate of change for a function is calculated based on changes in output divided by input changes over an interval.
Explanation:Understanding Exponential Functions and ModelsExponential functions are mathematical expressions where a constant base is raised to a variable exponent. The properties of exponents, such as product, quotient, and power rules, apply to these functions and are used to simplify and manipulate expressions.
When modeling relationships between two quantities using graphs and tables, key features like the growth rate, y-intercept, and asymptotes are important. The growth rate can be understood from the steepness of the graph or how quickly the y-values increase as x increases. The y-intercept represents the starting value of the quantity being modeled when x equals zero.
The average rate of change for a function is identified by calculating the change in the function's output values (y-values) divided by the change in the input values (x-values) over the interval of interest. For exponential functions, this rate of change is not constant, but increases or decreases at a rate proportional to the function's current value.
An example of exponential growth in a natural population might be the rapid increase in a bacteria population in an ideal lab condition, where it doubles every fixed amount of time. In contrast, a logistic growth pattern occurs when the growth rate decreases as the population reaches carrying capacity, such as the population of sheep in a field with limited grass for food.
Exploring the Exponential DistributionThe exponential distribution is typically used to model the time between events in a memoryless process, where the probability of an event occurring is the same at any moment. In an exponential distribution, outcomes are not equally likely as not all intervals of time are equally likely to occur before the next event. The mean (m), often referred to as the expected value, and the standard deviation can be derived from the rate parameter, which is the reciprocal of the mean.
Understanding how to manipulate a linear equation, as well as interpret and compute growth rates, is foundational in various applications including those in economics, biology, and environmental science. The ability to read and manipulate graphs is crucial for clearly presenting data and drawing accurate conclusions.
can someone help with this
0.75 = log x raise each side of the equation as power
The height of a ball thrown directly up with a velocity of 10 feet per second from a initial height of of 100 feet is given by the equation h(t) = -16tsquared + 10t + 100, where t is the time in seconds and h is the ball’s height, measured in feet. When will the ball hit the ground? Round your answer to the nearest tenth.
Answer:
The ball will hit at 2.83 seconds.
Step-by-step explanation:
It is given that,
Velocity with which a ball is thrown up is, v = 10 ft/s
Initial height, h = 100 ft
The equation for the height of an object as a function of t is given by :
[tex]h(t)=-16t^2+10t+100[/tex]...............(1)
Where
t is the time in seconds
h is the ball's height measured in feet
We have to find the time when the ball hits the ground. It can be calculated by solving the quadratic equation of equation (1). On solving we get the value of t as :
t = 2.832 seconds
So, at 2.83 seconds the ball will hit the ground. Hence, this is the required solution.
Two trains leave stations 252 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels at 100 miles per hour. How long will it take for the two trains to meet?
Final answer:
The time it takes for two trains traveling towards each other at speeds of 80 mph and 100 mph, and starting 252 miles apart, is found by dividing the distance by their combined relative speed. It takes them 1.4 hours or 1 hour and 24 minutes to meet.
Explanation:
To solve the problem of calculating the time it takes for two trains to meet, we need to understand the concept of relative speed in motion problems. When two objects move towards each other, their relative speed is the sum of their individual speeds. In this case, one train travels at 80 miles per hour and the other at 100 miles per hour, giving us a combined relative speed of 80 mph + 100 mph = 180 mph.
The distance between the two trains is 252 miles, and to find the time taken for the trains to meet, we divide the total distance by the relative speed:
Time = Distance / Relative Speed
Time = 252 miles / 180 mph
Time = 1.4 hours or 1 hour and 24 minutes for the two trains to meet.
What is the area of the polygon shown below?
2. If you have budgeted 12% of your monthly income for groceries, how much can you spend on groceries if you earn $950 bi-weekly?
bi weekly means you get paid every 2 weeks ( 2 times a month)
950*2 = 1900 per month for pay
1900*0.12 = 228 a month for food
Answer:
if you earn $950 bi-weekly, you earn 2 x 950 = $1900 per month. If you have budgeted 12% of your monthly income for groceries you need to find 12% of $1900: (1900 / 100) x 12 = 228. Answer: you can spend $228 a month on groceries.
Please help me :) Thanks!
jackson bikes 2 miles in 15 minutes. At this rate, how many miles will he bike in 45 minutes?
how to write place value 35 thousand,26hundredand 16 tens and 12 ones
Answer ALL if u cant see all the answers it don't matter all u need is the question
Erika and Rita have added a 1-mile walk to their daily exercise schedule. The table lists the time each of them took to walk the 1-mile distance over the past five days. Erika’s Time (in minutes) Rita’s Time (in minutes) 20 21.25 21.5 24.75 22.75 23 23.25 23 20.25 20.75 On average, it takes Erika about minute(s) per mile less than Rita.
Simplify the following expression: 2x − 6y + 3x2 + 7y − 14x. 3x2 + 12x + y 3x2 − 12x − y 3x2 − 12x + y 3x2 − 12x − 13y
The required simplified solution of the given expression 2x − 6y + 3x² + 7y − 14x is 3x² -12x + y.
Given that,
To simplified solution of the given expression 2x − 6y + 3x² + 7y − 14x.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
= 2x − 6y + 3x² + 7y − 14x.
= 3x² + 2x -14x + 7y -6y
= 3x² -12x + y
Thus, the required simplified solution of the given expression 2x − 6y + 3x² + 7y − 14x is 3x² -12x + y.
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Select the factors of 6ab + 3ay − 2bx − xy.
A. (3a − x)(2b + y)
B. (3a − y)(2b + x)
C. (2a − x)(3b + y)
D. (2a − y)(3b + x)
I need the answer I don't get it ...and this is a really long test ..but so far I only need help on this one . thanks to whoever helps me and give correct answer
Answer:
The factors of given expression is (3a-x)(2b+y)
A is correct
Step-by-step explanation:
Given: [tex]6ab+3ay-2bx-xy[/tex]
We need to factor the given expression.
First we make two group
[tex]\Rightarrow (6ab+3ay)+(-2bx-xy)[/tex]
Factor each group
[tex]\Rightarrow 3a(2b+y)-x(2b+y)[/tex]
[tex]\Rightarrow (3a-x)(2b+y)[/tex]
So, we get two factor (3a-x) and (2b+y)
Hence, The factors of given expression is (3a-x)(2b+y)
Arlene is comparing the prices of two truck rental companies. Company A charges $7 per hour and an additional $30 as service charges. Company B charges $8 per hour and an additional $40 as service charges.
Part A: Write an equation to represent each company's total charges for renting a truck for a certain number of hours. For both equations (one for Company A and one for Company B), define the variable used. (4 points)
Part B: Which company would charge less for renting a truck for 8 hours? Justify your answer. (3 points)
Part C: How much money is saved by using the services of Company A instead of Company B to rent a truck for 2 hours? (3 points)
Find the value of X in the problem below. Geometry
(3x+10) +14x = 180
17x +10 = 180
17x=170
x = 170/17 = 10
x = 10
Let set A = {odd numbers between 0 and 100} and set B = {numbers between 50 and 150 that are evenly divisible by 5}. What is A ∩ B? (2 points)
Which is a unit rate ? 4 dollars to 3 cans 5 students to 2 teachers 6 hours and 1 book 3 miles 2 days
Answer:
6 hours to 1 book
Step-by-step explanation: