Answers
Answer:
y = 2,500x + 5,000
Rate of change = $2500 a year
Initial value = $5000
Step-by-step explanation:
We have 3 values to figure what is the function here, the rate of change, and the initial value.
To find the initial value, find where y is located where x is 0. In this case it's $5000, so that's the initial value.
Now the rate of change. Find y where x is 1. That is $7,500. Subtract $5000 from to get the rate of change, since it's the same. It's constant because of a straight diagonal line.
$7,500 - $5,000 = +$2,500/year
Now the equation. This is not proportional, because y's starting point is not 0. It's greater than that, so an addition sign is in the equation. Do you remember our initial value? That's right! It was $5,000, so put that after the addition sign.
y = ????x + 5,000
You also need to remember the rate of change, which was 2,500. Put that on the left of the addition sign and there's your equation!
y = 2,500x + 5,000
Answer:
y=2500x + 5000
2500
5000
Step-by-step explanation:
Related Questions
Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t tt, in years, since Bozena started studying the population, and the number of tigers, N ( t ) N(t)N, left parenthesis, t, right parenthesis, is modeled by the following function: N(t)=537⋅(0.35)t2 Complete the following sentence about the rate of change in the tiger population. The population of tigers loses 65 % 65%65, percent of its size every years.
Answers
Answer:
every 2 years
Step-by-step explanation:
since it is t/2 for the exponent - thas the answer on khan
The rate of change in the population of the Siberian tigers loses 65% every two years.
What is an exponent?Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t, in years, since Bozena started studying the population, and the number of tigers, N(t), is modeled by the following function:
[tex]\rm N(t)=537\times (0.35)^{t/2}[/tex]
Then it is clear that the population of the Siberian tigers loses 65% of its size every two years.
More about the exponent link is given below.
https://brainly.com/question/5497425
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What are the coordinates for point a?
Answers
Answer:
2,3
Step-by-step explanation:
Answer:
(2,3) if the distance between each line is 1.
Step-by-step explanation:
a quadratic equation has two roots: -2 and 3.
Answers
Answer: B) Crossing the x-axis at -2 and 3
Step-by-step explanation:
Please first person to answer question will be marked as branliest and will be given 5 likes
Please I beg u all
Answers
Answer:
A.) x=-3
B.) I have no clue I'm sorry I haven't learned anything over square method
Step-by-step explanation:
Consider the polynomial 9n2+60n+100.
What are the square roots of the first and last terms?
square root of first term:
square root of last term:
Answers
Last term: 10
Have a great day :)
In June, Tara gathered data about amusement park attendance on days with different temperatures. Tara used the equation y=−3.5x+400 to model the number of children, y, at the amusement park as a function of the temperature, x. On a day in July, the temperature was 90°F and there were 60 children at the park. Which is the residual of this data point?
Answers
Answer:
25
Step-by-step explanation:
Given the model:
y=−3.5x+400
Number of children in amusement park = y
Temperature = x
On a certain day:
Temperature = 90°F
Number of children in park = 60
Using the model :
The predicted number of children in park when temperature is 90°F would be :
y = - 3.5(90) + 400
y = - 315 + 400
y = 85
Model prediction = 85 children
Actual figure = 60
Residual :
|Actual - predicted | = |60 - 85| = 25 children
Find the value of x in the given right triangle
X= ?
Answers
Answer:
7.5 is the answer to the question
Step-by-step explanation:
using tan
Find the commission on a sale of $600 with a 5% commission rate.
Answers
Answer:
$30
Step-by-step explanation:
5% of 600 = 0.05 × 600 = 30
1. In a survey of villagers it is found that 20% of the people have visited Kano and 25% have visited Port Harcourt and 5% have been to both cities, what percentage have visited neither place
2. in a survey of 290 newspaper readers 181 of them read the daily times 142 read the guardian 117 read punch and each reads at least one of the three papers. If 75 read the daily times and the guardian, 60 read the daily times and punch and 54 read the gardian and and punch
a. draw a venn diagram to illustrate this information
b. how many readers read
I. all three papers
ii. exactly two of the papers
iii.exactly one of the papers
iv. the guardian alone
Answers
Answer:
1. 60%
2a. (the diagram is attached)
b-i. 39
b-ii. 72
b-iii. I dont know...sorry :(
b-iv. 52
Step-by-step explanation:
1. U= 100%
Kano alone = 20-5= 15%
PH alone= 25-5= 20%
Kano n PH = 5%
None of the two= x
15+20+5+x= 100
40+x=100
X= 100-40
X= 60%
pls help me look at the screen shot below
Answers
I included work in photo below. Say u used cylinder volume formula
Answer:
7241.25 mm squared
Step-by-step explanation:
The surface area of a cylinder is denoted by: , where r is the radius and h is the height.
Here, we know that the diameter is 39.2 mm, and since diameter is twice the radius, then r = d/2 = 39.2/2 = 19.6 mm. We also know that the height is 39.2 mm
using this formula for surface area of cyclinder: 2πrh+2π
diameter = 2r --> 39.2 = 2r
so r= 19.6
The answer is 7241.25 mm squared.
↓Practice Provided Below ↓
Jerry started doing sit-ups every day. The first day he did 18 sit-ups. Every day after that he did 2 more sit-ups than he had done the previous day. Today Jerry did 28 sit-ups. Enter an equation that could be solved to find the number of days Jerry has been doing sit-ups, not counting the first day.
Answers
Answer:
14 days
Step-by-step explanation:
28/2
What is the most appropriate level of accuracy for measuring the height of a tree
Answers
Answer:
Step-by-step explanation:
Depends on the tree.
If it's like a pine or spruce, then I would use maybe 2 inches lattitude. If it's really leafy with big leaves, perhaps a little more lattitude is needed, like maybe 1/2 a foot.
It also depends on the season. Unless the pine or spruce is covered with snow, I wouldn't change the latitude. If it is covered with snow, knock the snow off.
For something like a maple in winter, I'd reduce the latitude to 3 inches......
In a gram panchayat election, candidate A
won with 220 votes where the number of
voters was 1,000. In another such election,
candidate B won with 300 votes where
the number of voters was 1,300. Who won
with the greater majority?
Answers
Question:
A method of solving systems
of linear equations by______
an expression for a variable and then solving for the other variable is called_______
Answer choices:
•graphing
•substitution
•substituting
•solving
(help me please)
Answers
Answer:
substituting & graphing
Step-by-step explanation:
Factor the quadratic expression completely.
Answers
Which is equivalent to 80*
80
V80"
a
V80
80
Mark this and return
Answers
after completing a fraction division problem Claire use multiplication to check her answer division:7½ ÷ 1½ = 5 check: 5 × 1½ = 5½
Answers
Answer:
15/2 / 3/2= 15/2 * 2/3= 30/6= 5
5/1 * 3/2= 15/2= 6 3/2= 7 1/2
Step-by-step explanation:
Claire should have made the fractions into improper fraction so she could get the check part right.
The number of zeroes at the end of the cube root of the number1000
Answers
Hey there!
The answer to your question is one zero.
To solve this, we can first start by finding the cube root.
[tex]\sqrt[3]{1000}[/tex]
The answer to this is [tex]10[/tex], because [tex]10 * 10 * 10 = 1000[/tex]
Now, we can see that there is one zero at the end of [tex]10[/tex].
Hope it helps and have a great day/night! Stay safe!
what is the slope of the line that passes through the pair of points. (1,7) , (10 ,1)
Answers
Answer:
-6/9 = -2/3 (C)
Step-by-step explanation:
PLEASE HELPPP!!!Which function passes through the points 2,15 and 3,26?
Answers
Answer:
B. y = 11x - 7
Step-by-step explanation:
first we find the slope by using the formula
[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
Now let (2,15) be [tex](x_{1}, y_{1} )[/tex] , and (3, 26) be [tex](x_{2} , y_{2} )[/tex]. So now the slope is equal too.....
[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }= \frac{26 - 15}{3-2} = \frac{11}{1} = 11[/tex]
Now we use the slope-point form of the equation and obtain the following....
[tex]y - y_{1} = m(x - x_{1} )\\y - 15 = 11(x - 2)\\y - 15= 11x -22\\y = 11x - 22 + 15\\y = 11x - 7[/tex]
HELP I HAVE TILL 12 AND IRS IN 20 MINUTES
Answers
what is the equation of a line that is perpendicular to the line whose equation is Y=3/5x-2 and that passes through the point (3,-6)?
Answers
The equation of the line that is perpendicular to the line whose equation is Y=3/5x-2 and that passes through the point (3,-6) is; y=-5/3x-1
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Where x₁ - x coordinate, y₁ - y coordinate, m - slope
Point (3,-6)
Then perpendicular line whose equation is Y=3/5x-2
Slope m = -3/5
Now Write the equation as;
y=-5/3x-1
Hence, the equation of the line that is perpendicular to the line whose equation is Y=3/5x-2 and that passes through the point (3,-6) is; y=-5/3x-1
Learn more about equations here;
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There was 20 coins and 4 bags and you have to put all the coins to make it even in all 4 bags how many coins go in each bag?
Answers
Answer:
5
Step-by-step explanation:
20/4 = 5
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.
X(3, –6) maps to X’(–3, 6)
Y(1, –2) maps to Y’(–1, 2)
Z(–1, –5) maps to Z’(1, 5)
Which describes the rotation?
Answers
Answer:
The description of the rotation is 180 degrees clockwise or counterclockwise rotation
Step-by-step explanation:
Here, we want to get the kind of rotation that maps the triangle into its new coordinates
we have this as;
(x,y) to (-x, -y)
that will be ;
a 180 degrees rotation or counter clockwise rotation
180 rotation so A
Step-by-step explanation:
What is the factored form of 343 + x^6?
Answers
Answer:
[tex](x^2+7)(x^4-7x^2+49)[/tex]
Step-by-step explanation:
Factor x^6+343, and you will get the answer above. Hope this helps :)
What is the equation of the line that has a slope of 13 and goes through the point (6,−2)?
y=13x−8
y=13x
y=13x−4
y=13x+4
Answers
Answer:
y = 13x - 80{Or, if you mean slope of 1/3: y = ¹/₃x - 4 }
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = 13
(6, -2) ⇒ x₀ = 6, y₀ = -2
The point-slope form of the equation:
y + 2 = 13(x - 6)
So:
y + 2 = 13x - 78 {subtract 2 from both sides}
y = 13x - 80 ← the slope-intercept form of the equation
{Or, if you mean slope of ¹/₃: m = ¹/₃
The point-slope form of the equation: y + 2 = ¹/₃(x - 6)
y + 2 = ¹/₃x - 2 {subtract 2 from both sides}
y = ¹/₃x - 4 ← the slope-intercept form of the equation}
Determine if the function represented by the table is linear. Explain.
х -10 -14 -18-24
у 6 10 16 24
Answers
Answer:
The given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.
Step-by-step explanation:
Given the table
x -10 -14 -18 -24
y 6 10 16 24
A linear function has a constant change in x and a constant change in y values.In order to determine whether the table represents the linear function or not, we need to check whether there is constant change in x and y.
It is clear that there is a NO constant change in x
i.e. -14-(-10) = -4, -18-(-14) = -4, -24-(-18) = -6
It is clear that there is a NO constant change in y
i.e. 10-6=4, 16-10 = 6, 24-16 = 8
Therefore, the given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.
4+5(2-3x)+4x
Help pls I need it FAST
Answers
Answer: 14 -11x
You first distribute 5 through the parenthesi to get 4 + 10 - 15x + 4x. Then calculate like terms to get 14 - 11x
What is the domain and range?
Answers
Answer:
The domain D = {0, 1, 2, 3, 4, 5}
The range R = {3, 4}
Step-by-step explanation:
Given the ordered pairs or points on the graph
{(0, 4), (1, 4), (2, 4), (3, 3), (4, 3), (5, 3)}
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axis.It means the set of all the x-coordinates of the given points or ordered pairs on a graph will be the domain.
Thus,
The domain D = {0, 1, 2, 3, 4, 5}
Determining the range:
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.It means the set of all the y-coordinates of the given points or ordered pairs on a graph will be the range.
Thus,
The range R = {3, 4}
Note: Please note that the duplicated elements in the range are written only once.
Ms. Martinez has a class of 16 students. She can spend $17 on each student to buy math supplies for the year. She first buys all of her students calculators,
which costs a total of $89.76. After buying the calculators, how much does she have left to spend on each student?
su
Answers
Answer:
none
Step-by-step explanation: