Answer:
The answer is true.
Step-by-step explanation:
An ad valorem tax is based on the assessed value of a property. These include property taxes on real estate, sales tax on consumer goods etc,
When you are earning rent from a property, then you have to pay some tax for it, that will surely affect the amount of ad valorem property taxes levied on the properties.
Therefore, the answer is true.
Please help me with this problem
Answer:
y = - 2x
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = - 5, y = 10, thus
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{10}{-5}[/tex] = - 2, hence
y = - 2x ← is the equation relating them
Help me please!!!!!!!!!!
Answer:
slope: -5/3y-intercept: 2x-intercept: 6/5 = 1.2Step-by-step explanation:
Finding the slope is perhaps easiest done by solving for y.
5x -6 = -3y . . . . subtract 3
y = -5/3x +2 . . . divide by -3
This is slope-intercept form, so we can see both the slope (the coefficient of x, -5/3) and the y-intercept (the constant, +2).
__
To find the x-intercept, we set y=0 and solve for x. This might be most easily done using the original equation:
5x -3 = 0 +3 . . . . set y = 0
5x = 6 . . . . . . . . . add 3 to get the x-term by itself
x = 6/5 = 1.2 . . . . divide by the coefficient of x. This is the x-intercept.
__
Slope = -5/3
y-intercept = 2
x-intercept = 6/5
The graph below shows the time Andrea spent reading one day. Write a few sentences to describe the relationship between the time Andrea spent reading and the number of pages she read.
Answer:
Step-by-step explanation:
Well, there are several relationships you can describe. As time increases how does number of pages react? Like does it increase or decrease. Is it always increasing or decreasing by the same amount? If it's not all the same how do different parts look different.
There aren't any actual numbers, so you can't say specifically how they relate, like you can't say she read 5 pages a minute or something.
There is no smooth increase or decrease of the graph thus it reperesnts a non linear relationship.
What does it mean when a graph does not increase or decrease smoothly?Typically, when a graph increases or decreases abruptly, the data or function it represents is showing some sort of discontinuity or sudden change in behavior.
In other words, there are areas or locations on the graph where values or the slope abruptly shift rather than gradually and constantly changing.
Thus, the slope of the graph is constantly changing and the relationship that is depicted is non linear.
Learn more about graph:https://brainly.com/question/17267403
#SPJ3
On another day, Martin bought 12 3/5 pounds of grapes for a picnic. His friend bought 3/8 of that amount. Use compatible fractions to estimate how many pounds of grapes Martin's friend bought.
Answer:
12 1/2
1/2
6 1/4
Step-by-step explanation:
hope this helps ya
To estimate Martin's friend's purchase of grapes, convert 12 3/5 to an improper fraction and multiply it by 3/8. The estimate is 9/40 pounds of grapes.
Explanation:To estimate how many pounds of grapes Martin's friend bought, we can use compatible fractions. Martin bought 12 3/5 pounds of grapes. His friend bought 3/8 of that amount.
Step 1: Convert 12 3/5 to an improper fraction.
12 3/5 = (5 * 12 + 3)/5 = 63/5
Step 2: Multiply the improper fraction by 3/8.
(63/5) * (3/8) = (63 * 3)/(5 * 8) = 9/40
Therefore, Martin's friend estimated about 9/40 pounds of grapes.
Marcus purchased 80 shares of stock in a computer company at $74.19 per share and Taylor purchased 65 shares of stock in a different computer company for $85.21 per share. After holding the stock for two years, Marcus sold his for a total of $6,404.57, and Taylor sold hers for a total of $6,192.83. Which person had a higher ROI and by how much?
Answer: Taylor, by 3.9 pp ($184.81)
Step-by-step explanation:
Marcus: Invested 80 x 74.19 = 5935.20
Taylor: Invested 65 x 85.21 = 5538.65
After 2 y
Marcus: Sold for 6404.57
Taylor: Sold for 6192.83
Net profit
Marcus: 6404.57 - 5935.20 = 469.37
Taylor: 6192.83 - 5538.65 = 654.18
ROI
Marcus: 469.37/5935.20 * 100 = 7.91%
Taylor: 654.18/5538.65 * 100 = 11.81%
Taylor had a higher ROI by 3.9 percentage points (11.81 - 7.91)
The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P0 has doubled in 5 years. Suppose it is known that the population is 12,000 after 3 years. What was the initial population P0? (Round your answer to one decimal place.)
Answer:
The initial population P0 is 7500
Step-by-step explanation:
First of all, we are told that the population is proportional to time. This means that as time goes by, the population will increase. This type of relationship between two variables has the form of a linear equation expressed as:
y = mx + b,
where m is the slope of the curve and b is the intercept of it.
In this case we can state the following equation:
P = mt + P0
Where P is the population at a certain time "t", "m" is the slope of the curve, "t" is the time (this is the independent variable) and P0 is the intercept of the curve and represents the initial population.
Once we state the equation, let's see what we know:
If t = 0, then P = P0
If t = 3, then P = 12000 just as we are told
and if t = 5, then P = 2 P0 because after five years the population has doubled compared to the initial population (P0).
From the definition of the slope of the curve:
(Y2 - Y1)/(X2-X1) = m
and using the data described before we can formulate the slope value:
m = (2P0 - P0)/(5-0)
m = (2P0 - P0)/5
m = P0/5
Then, let's replace the value of m in the following equation:
P = mt + P0
12000 = (P0/5) × 3 + P0 → This is the equation presented when 3 years has gone by and we now have a population of 12000.
12000 = (3/5) P0 + P0
12000 = (8/5) P0
12000×5/8 = P0 = 7500
Then we can calculate the value of the slope m:
m = P0/5
m = 7500/5 = 1500
Now, knowing the value of m and the initial population P0 we are able to calculate the population at any value of "t".
Simplify the expression (4 + 5i)(4 - 5i).
16 - 20i
16 + 20i
-9
41
The expression (4 + 5i)(4 - 5i) simplifies to 41, as the multiplication of complex conjugates yields a real number.
The expression (4 + 5i)(4 - 5i) is a product of two complex conjugates. When multiplied, the product of complex conjugates results in a real number because the imaginary parts cancel out. The multiplication proceeds as follows:
Multiplying the real parts: 4 * 4 = 16.
Multiplying the outer terms: 4 * (-5i) = -20i (but this will cancel out with the next step).
Multiplying the inner terms: 5i*4 = 20i (which cancels out the -20i from the outer multiplication).
Multiplying the imaginary parts: 5i * -5i = -25[tex]i^2[/tex]. Remembering that i^2 = -1, we simplify this to -25 * -1 = 25.
Adding the results from steps 1 and 4, we get 16 + 25 = 41.
Therefore, the simplified expression is 41.
Pastries made out of filo dough and brushed with either olive oil or butter (but not both). Pastries made out of shortcrust dough are not brushed with anything. Rashid and Mikhail submitted a total of x pastries to a baking competition. Mikhail used filo dough for all of his pastries, Rashid used shortcrust dough for all of his pastries, and each pastry was made using only one kind of dough. If Rashid made 2323 as many pastries as Mikhail, and 5858 of the filo dough pastries were brushed with olive oil, then how many of the pastries submitted by Rashid and Mikhail, in terms of x, were brushed with butter?
A. 3X203X20
B. 9X409X40
C. 1X41X4
D. 3X83X8
E. 5X12
Answer:
[tex]\frac{9x}{40}[/tex] is the answer.
Step-by-step explanation:
The question has some typo errors.
Rashid and Mikhail submitted a total of x pastries to a baking competition.
Suppose say :
Mikhail made x pastries .
Hence Rashid made [tex]\frac{2x}{3}[/tex] pastries.
And in total they made [tex]\frac{5x}{3}[/tex] pastries.
Now we have that out of x, [tex]\frac{5}{8}[/tex] of x were brushed with olive oil.
So, [tex]\frac{3}{8}[/tex] of x that is [tex]\frac{3x}{8}[/tex] are brushed by butter.
So, it becomes [tex](\frac{3}{8}) / ( \frac{5x}{3} )[/tex]
= [tex]\frac{3}{8} \times\frac{3x}{5}[/tex] = [tex]\frac{9x}{40}[/tex]
Hence, answer is option B.
Divide. (4x^2+27x+22) dived by (x+6) your answer should give the quotient and remainder.
Answer:
quotient = 4x + 3 + (3/x+6)
Step-by-step explanation:
To solve this, we conduct polynomial division. We divide the first term of the divisor into the first term of the polynomial.
Step 1: Divide the first term of the polynomial, 4x^2, by the first term in the divisor, x, to obtain 4x. This is the first term of our quotient.
Step 2: Keep the divisor, x+6, as it is and multiply it by the first term of the quotient, 4x. We obtain 4x^2 + 24x.
Step 3: Subtract this result from the original polynomial. The difference is 3x+22.
Step 4: The divisor x+6 is then divided into the first term of the new polynomial, 3x, to obtain 3. Add this to the quotient, making the quotient 4x+3.
Step 5: Multiply the divisor, x+6, by the new term in the quotient, +3, obtaining 3x+18.
Step 6: Subtract this result from the last polynomial, 3x+22, to get the remainder, 4
So when we divide 4x^2 +27x+22 by x+6, we get the quotient is 4x+3 and the remainder is 4.
Learn more about quotient and remainder here:
https://brainly.com/question/29786994
#SPJ11
A dealer bought 50 caps for Rs 1500. He sold 15 for Rs. 35 each and 15 for Rs. 40 each. At what price per cap should he sell the remainder to gain 15% on his outlay?
Answer:
₹30/cap
Step-by-step explanation:
To gain 15%, the dealer must have total revenue of ...
₹1500 × 1.15 = ₹1725
His revenue so far is ...
15 × ₹35 +15 × ₹40 = ₹1125
There are 50 -15 -15 = 20 caps remaining, and the dealer wants additional revenue of ₹1725 -1125 = ₹600. He must sell them at a price of ...
₹600/(20 caps) = ₹30/cap
Plzzzz help quickly!!! Worth 20 points will mark brainliest! The data below shows cell phone bills for various numbers of minutes used.
What does the slope of the line of best fit represent?
A. There is a charge of $0.15 for each minute of use.
B. There is a charge of $0.45 for each minute of use.
C. There is a monthly fee of $15.00
D. There is a monthly fee of $45.00
Answer:
A
Step-by-step explanation:
Option: A is the correct answer.
A. There is a charge of $0.15 for each minute of use.
Step-by-step explanation:We know that the slope of the line of best fit represents the ratio of change in the dependent variable to the change in the independent variable.
Here the dependent variable is: Phone bill
and the independent variable is the number of minutes used.
Let the line of best fit passes through (100,60) and (300,90).
This means that the slope of the line of best fit is:
[tex]Slope=\dfrac{90-60}{300-100}\\\\Slope=\dfrac{30}{200}\\\\Slope=0.15[/tex]
Hence, the answer is: Option: A
Among undergraduate students living on a college campus, 20% have an automobile. Among undergraduate students living off campus, 60% have an automobile. Among undergraduate students, 30% live on campus. Given the probabilities of the following events when a student is selected at random:
(a) Student lives off campus.
(b) Student lives on campus and has an automobile.
(c) Student lives on campus and does not have an automobile.
(d) Student lives on campus and/or has an automobile.
(e) Student lives on campus given that he/she does not have an automobile.
Answer: a) 70%
b) 6%
c) 24%
d) and: 6%
or: 66%
e) 46.2%
Step-by-step explanation:
Living on campus = 30%
Living off Campus = 70%
Living on campus with car = 20% of 30% = 0.2 x 0.3 = 0.06 = 6%
Living on campus w/o car = 80% of 30% = 0.8 x 0.3 = 0.24 = 24%
Living off campus with car = 60% of 70% = 0.6 x 0.7 = 0.42 = 42%
Living off campus w/o car = 40% of 70% = 0.4 x 0.7 = 0.28 = 28%
a) 70%
b) 6%
c) 24%
d) Student lives on campus and has an automobile: 6%
Student lives on campus or has an automobile = 66%
living on campus 30%
students with car = 6% (on campus) 42% (off campus)
30 - 6 + 42 = 66
e) P (living on campus/not have a car) = P(living on campus w/o a car)/P(not have a car)
P(living on campus w/o a car) = 24
P(not have a car) = 24+28 = 52
P (living on campus/not have a car) = 24/52 = 0.462 = 46.2%
Do more than 50 percent of the children in a certain group have brown hair?
(1) 70 percent of the boys in the group have brown hair.
(2) 30 percent of the children in the group are girls with brown hair.
Answer:
What we know is that 30% of the group have brown hair and are girls. It means that in the other 70% we have the boys with brown hair, the other boys and the other girls.
In the case all the girls have brown hair, the 70% remaining would be boys. So 70% of then would have brown hair. (0.7*0.7=0.49 -> 49% of the children would be brown hair) so 49% (boys) and 30% (girls) are more than 50%..
Now, let's suppouse that 90% of the group are girls. It means 10% are boys and 70% of that 10% (=7%) are the boys in the group that have brown hair. Now 7% + 30% of the children have brown hair, wich isn't more than the half.
We have explained with two extreme cases that the information is not enough for making a precise answer
When triangle ABC is similar to triangle PQR, with A, B, and C corresponding to P, Q, and R, respectively, it is customary to write ABC ∼ PQR. Suppose that AB = 4, BC = 5, CA = 6, and RP = 9. Find PQ and QR.
Answer:
PQ = 6 and QR = 7.5
Step-by-step explanation:
The lengths of the sides of two similar triangles are proportional. That is, if Δ ABC is similar to Δ PQR, then the following equation is established.
[tex]\frac{AC}{PR}=\frac{AB}{PQ}=\frac{BC}{QR}[/tex]
[tex]\frac{6}{9} = \frac{4}{PQ} = \frac{5}{QR}[/tex]
[tex]\frac{6}{9} = \frac{4}{PQ}[/tex]
PQ = 6
[tex]\frac{6}{9} = \frac{5}{QR}[/tex]
QR = 7.5
Standard automobile license plates in a country display 2 numbers, followed by 3 letters, followed by 2 numbers. How many different standard plates are possible in this system? (Assume repetition of letters and numbers is allowed.)
Answer: 175760000
Step-by-step explanation:
We know that the total number of digits in the number system is 10 [0,1,2,3,4,5,6,7,8,9]
The total number of letters in English Alphabet = 26
Now, if standard automobile license plates in a country display 2 numbers, followed by 3 letters, followed by 2 numbers, then the number of different standard plates are possible in this system (if repetition of letters and numbers is allowed)will be :_
[tex]= 10\times10\times26\times26\times26\times10\times10\\\\=175760000[/tex]
Hence, the number of different standard plates are possible in this system = [tex]175760000[/tex]
In the given license plate system, there are 175,760,000 possible combinations by calculating the combinations for each segment (2 numbers, 3 letters, 2 numbers) and multiplying them together.
A standard automobile license plate in this system consists of 2 numbers, followed by 3 letters, followed by 2 numbers. To determine the number of different plates possible, we calculate the combinations for each part separately and then multiply them together.
Two Numbers: Each number can be any digit from 0-9, which gives us 10 possibilities for each digit. Therefore, the total combinations for the two numbers are: 10 x 10 = 100.Three Letters: Each letter can be any from the 26 English alphabets (A-Z). Thus, the total combinations for the three letters are: 26 x 26 x 26 = 17,576.Two Numbers: Similar to the first part, we have another set of two numbers with 10 possibilities each. Hence, the combinations for these two numbers are: 10 x 10 = 100.To find the total number of different standard license plates possible, we multiply the combinations for each part:
Total Plates = 100 x 17,576 x 100 = 175,760,000
Therefore, there are 175,760,000 different possible license plates in this system.
Find the measures of the unknown angles in degrees.
Blank #1: value for c
Blank #2: value for w
Blank # 1
Blank # 2
Answer:
c = 63
w = 85
Step-by-step explanation:
Since the 2 lines are parallels c is the same angle as 63 and w is the supplementary angle of 95
How can you determine the coordinates of any image that is dilated with the center of dilation at the origin without graphing? Explain your reasoning.
Answer:
See explanation
Step-by-step explanation:
Let [tex](x,y)[/tex] be the coordinates of the point which has to be dilated with the scale factor of [tex]k[/tex] with the center of dilation at point [tex](0,0)[/tex] (the origin).
The dilation with the scale factor [tex]k[/tex] and the center of dilation at the origin has the rule
[tex](x,y)\rightarrow (kx,ky)[/tex]
So, you have simply to multiply each coordinate of the point by [tex]k[/tex] to get the image's coordinates.
You travel from point A to point B in a car moving at a constant speed of 70 km/h. Then you travel the same distance from point B to another point C, moving at a constant speed of 90 km/h. Is your average speed for the entire trip from A to C equal to 80 km/h? Explain why or why not.
Yes, the average speed for the entire trip from A to C is equal to 80 km/h.
Given
You travel from point A to point B in a car moving at a constant speed of 70 km/h.
You travel the same distance from point B to another point C, moving at a constant speed of 90 km/h.
What is the average speed?The average speed is defined as the change in displacement and change in a time interval.
The formula is used to calculate average speed;
[tex]\rm Average \ speed= \dfrac{V_1+V_2}{2}[/tex]
Where [tex]\rm V_1[/tex] is 70 and [tex]\rm V_2[/tex] is 90.
Substitute all the values in the formula
[tex]\rm Average \ speed= \dfrac{V_1+V_2}{2}\\\\\rm Average \ speed= \dfrac{70+90}{2}\\\\\rm Average \ speed= \dfrac{160}{2}\\\\\rm Average \ speed= 80[/tex]
Hence, the average speed for the entire trip from A to C is equal to 80 km/h.
To know more about Average speed click the link given below.
https://brainly.com/question/13569465
The blue line arrives every 10 minutes the red line arrives every 8 minutes and the yellow line arrives every 12 minutes, how long until they arrive at the station at the same time
Answer:
They all arrive at the station at the same time after 120 minutes.
Step-by-step explanation:
For solving these types of question we use Least Common Multiples (L.C.M.).
Since for getting a common time they will meet, we interested in a multiplier.
Now, We will take L.C.M. of all the numbers:
10 = 2 × 5
8 = 2 × 2 × 2
12 = 2 × 2 × 3
∴ L.C.M. = 2 × 2 × 2 × 3 × 5 = 120 {taking smallest common multiples)
Thus, they all lines will meet after 120 minutes.
A manufacturer of tennis rackets finds that the total cost of manufacturing x rackets/day is given by 0.0003x2 + 4x + 500 dollars. Each racket can be sold at a price of p dollars, where p = −0.0002x + 9 Find an expression giving the daily profit P for the manufacturer, assuming that all the rackets manufactured can be sold. Hint: The total revenue is given by the total number of rackets sold multiplied by the price of each racket. The profit is given by revenue minus cost. (Simplify your answer completely.)
Answer:
[tex]PT =-0.0005^2 +5x - 500[/tex]
Step-by-step explanation:
We have price (P) = [tex]-0.0002x + 9[/tex]
to calculate Total revenue (TR) we have to multiply Price by Production quantity.
[tex]TR=P * X[/tex] , we denote production quantity with the letter X.
[tex] TR=(-0.0002x + 9)*x[/tex]
We apply distributive law and then we have:
[tex] TR=-0.0002x^2 + 9x[/tex] , this is the Total revenue (TR) of selling X amount of production at a P price.
Now we only have to find the Profit (PT) using the formula:
[tex]PT=TR - TC[/tex] , TR is total revenue and TC is total cost
The expression of the daily profit (PT) for the manufacturer is:
[tex] PT=-0.0002x^2 + 9x - (0.0003x^2 + 4x + 500)[/tex]
[tex] PT= - 0.0002^2 + 9x -0.0003^2 -4x -500[/tex]
[tex]PT =-0.0005^2 +5x - 500[/tex]
The daily profit for the manufacturer, given by P, is equal to -0.0005x^2 + 5x - 500, where x represents the number of rackets manufactured and sold each day.
Explanation:In this example, the manufacturer's daily profit, P, is given by the difference between the total revenue and the total cost. The total revenue is found by multiplying the price of each racket, p , by the number of rackets sold daily, x. i.e, px. The total cost is given by the equation 0.0003x^2 + 4x + 500. Thus, the daily profit is P = (px) - (0.0003x^2 + 4x + 500). Substituting the expression for p gives P = [(−0.0002x + 9)x] - (0.0003x^2 + 4x + 500), which simplifies to P = - 0.0002x^2 + 9x - 0.0003x^2 - 4x - 500. Further simplification leads to P = -0.0005x^2 + 5x - 500. Therefore, the daily profit for the manufacturer is given by P = -0.0005x^2 + 5x - 500.
Learn more about Profit Calculation here:https://brainly.com/question/29785281
#SPJ3
Set A contains three different positive odd integers and two different positive even integers; set B contains two different positive odd integers and three different positive even integers. If one integer from set A and one integer from set B are chosen at random, what is the probability that the product of the chosen integers is even?
Answer:
[tex]\frac{2}{5}*\frac{3}{5} +\frac{2}{5}*\frac{2}{5}+\frac{3}{5} *\frac{3}{5} = \frac{19}{25}[/tex]
Step-by-step explanation:
We must remember that in order to get one even number we need to multiply one even number times one odd number or two even numbers. So, the first term tells the probability of having an even number from A and an even number from B, the next would be even from A and odd from B and the last one tells the likelihood of having odd from A and even from B
find and simplify the difference quotients f(6+h) – f(6)
f(x) = 15x² + 6
Answer:
180h + 15h²
Step-by-step explanation:
Since both have same function i.e. function of f, so we simply put 6 + h and 6 in place of x in f(x)
Here,
f(x) = 15x² + 6
Then, f(6+h) - f(6)
= [15(6 + h )² + 6] - [15(6 )² + 6]
⇒ [15 (36 + 12h + h²) + 6] - [15 × 36 + 6]
⇒ [ 15 × 36 + 15 × 12h + 15h² + 6 - 15 × 36 - 6 ]
⇒ 15 × 12h + 15h²
⇒ 180h + 15h²
The line segment EF has a midpoint with coordinates M (-2,2). Use the formula to find the coordinates of the other endpoint given that E is located at coordinates (2,8).
Answer:
The answer to your question is: F = (-6, -4)
Step-by-step explanation:
Segment = EF
mpM = (-2, 2)
first point = E = (2, 8)
second point = F = (x, y)
Formula
Xmp = (x1 + x2) / 2 Ymp = (y1 + y2) / 2
x2 = 2xmp - x1 y2 = 2ymp - y1
Process
x2 = 2(-2) - 2 y2 = 2(2) - 8
x2 = -4 - 2 y2 = 4 - 8
x2 = -6 y2 = -4
F = (-6, -4)
The coordinates of the other endpoint of the line segment EF, given that the midpoint M is (-2,2) and the endpoint E is (2,8), are (-6,-4). This is determined by using the midpoint formula and solving for the remaining variables.
Explanation:To find the coordinates of the other endpoint F, we apply the midpoint formula which is M ( (x₁ + x₂) / 2, (y₁ + y₂) / 2 ). Here, we have the midpoint M(-2,2) and one endpoint E(2,8).
It's like saying: (-2,2) = ( (2 + x₂) / 2, (8 + y₂) / 2 ).
To solve for x₂ (the x-coordinate of point F) and y₂ (the y-coordinate of point F), we will set up two separate equations based on the x and y coordinates.
For the x-coordinate, (-2) = (2 + x₂) / 2. Solve for x₂ gives x₂ = -2*2 - 2 = -6.
For the y-coordinate, 2 = (8 + y₂) / 2. Solve for y₂ gives y₂ = 2*2 - 8 = -4.
So, point F, the other endpoint of the line segment EF, has the coordinates (-6,-4).
Learn more about the midpoint formula here:https://brainly.com/question/15085041
#SPJ2
An insurance company has hired a sales representative, and has agreed to pay him a fixed salary of $2,000 per month, along with a commission of 2% on every sale made by him in a month. For the month of March, 20X1, the sales representative made a total sales of $15,000. Calculate the cost of the sales representative for the month.
Answer:
$2300
Step-by-step explanation:
The commission earned by the representative is ...
commission = 0.02 × $15,000 = $300
so the total to be paid to the sales representative is ...
salary + commission
= $2000 +300 = $2300
Ten times the sum of half a number x and 9 is 13.
10(x/2 + 9) = 13
5x + 90 = 13
5x = 13 - 90
Can you do the rest?
The current value of a property is $40,000. The property is assessed at 40% of its current value for real estate tax purposes, with an equalization factor of 1.5 applied to the assessed value. If the tax rate is $4 per $100 of assessed, what is the amount of tax due on the property?
Answer:
Tax due on the property : $ 960
Step-by-step explanation:
We know that the property is assessed at the 40% of it's current value.
First we are going to find the value assessed.
40% of $40,000 = 0.4 * 40,000 = $ 16,000
Now, at the value, we are aplying a factor of 1.5. This equalization factor is the multiplier we use to calculate the value of a property that is in line with statewide tax assessments
So, we do, 1.5* $16,000 = $24,000
Now we got that we the tax rate is $4 per $100 assessed.
So we got $24,000 * $4 / $100 = $ 960
Point G is on segment FH such that it partitions segment FH into a ratio of 2:3.Point F is located at (5, 7) and point H is located at (16, 13). What are the coordinates of point G?
Answer:
G = (9.4, 9,4)
Step-by-step explanation:
The ratio is applied in the x-distance and the y-distance. The ratio is 2:3 so you have to divide the distances by 5 and 2/5 correspond to FG and 3/5 to GH
x-distance:
x2 - x1 = 16 - 5 = 11
11/5 = 2.2
y-distance:
y2 - y1 = 13 - 7 = 6
6/5 = 1.2
Point G = Point F + (2.2*2, 1.2*2)
Point G = (5, 7) + (4.4, 2.4)
= (9.4, 9.4)
If F(x) = 5x/(1 + x2), find F '(2) and use it to find an equation of the tangent line to the curve y = 5x/(1 + x2)at the point (2, 2).
Answer:
3x+5y-16=0
Step-by-step explanation:
See it in the pic.
Equation of tangent line to the curve is
[tex]y=-\frac{3}{5}x+\frac{16}{5}[/tex]
Tangent line to the curve.Equation of tangent line is in the form of y=mx+b
where m is the slope and b is the y intercept
Derivative :Derivative of a given function is the slope. To find slope at the given point , we find out f'(2)
we are given with function
[tex]f(x)= \frac{5x}{1+x^2} \\Apply \; quotient \; rule \\5\frac{\frac{d}{dx}\left(x\right)\left(1+x^2\right)-\frac{d}{dx}\left(1+x^2\right)x}{\left(1+x^2\right)^2}\\5\cdot \frac{1\cdot \left(1+x^2\right)-2xx}{\left(1+x^2\right)^2}\\\frac{5\left(1-x^2\right)}{\left(1+x^2\right)^2}\\[/tex]
Now we find f'(2) by replacing 2 for x
[tex]f'(x)=\frac{5\left(1-x^2\right)}{\left(1+x^2\right)^2}\\f'(2)=\frac{5\left(1-2^2\right)}{\left(1+2^2\right)^2}\\f'(2)=\frac{-15}{25} \\f'(2)=-\frac{3}{5}[/tex]
Now we use the given point and the slope to get the equation of tangent line
[tex]m=-\frac{3}{5} and (2,2)\\y-y_1=m(x-x_1)\\y-2=-\frac{3}{5}(x-2)\\y-2=-\frac{3}{5}x+\frac{6}{5}\\y=-\frac{3}{5}x+\frac{6}{5}+2\\y=-\frac{3}{5}x+\frac{16}{5}[/tex]
Equation of tangent line to the curve is
[tex]y=-\frac{3}{5}x+\frac{16}{5}[/tex]
Learn more about the tangent line here:
brainly.com/question/6617153
Explain why each function is continuous or discontinuous. (a) The temperature at a specific location as a function of time (b) The temperature at a specific time as a function of the distance due west from New York City (c) The altitude above sea level as a function of the distance due west from New York City (d) The cost of a taxi ride as a function of the distance traveled (e) The current in the circuit for the lights in a room as a function of time
Answer:
(a) The temperature at a specific location as a function of time.
This is a continuous function as the temperature cannot increase in an instant like time.
(b) The temperature at a specific time as a function of the distance due west from New York City.
This is a continuous function as the temperature in one location is affected by its neighboring places.
(c) The altitude above sea level as a function of the distance due west from New York City.
The altitude above sea level can be discontinuous at a cliff, or continuous at very deep hole.
(d) The cost of a taxi ride as a function of the distance traveled.
This is a discontinuous function as the cost still raises if you make a stop.
(e) The current in the circuit for the lights in a room as a function of time.
This is a discontinuous function as the function takes the value of 0 when the switch is off and 1 when the switch is on.
The electron traveling speed makes this discontinuous.
Final answer:
a) Continuous
b) Continuous
c) Continuous
d) Discontinuous
e) Continuous
Explanation:
In examining whether a function is continuous or discontinuous, we consider if there are any interruptions in the value of the function as the input changes. Here's an analysis for each given scenario:
The temperature at a specific location as a function of time tends to be continuous because temperature normally changes gradually over time without abrupt jumps.The temperature at a specific time as a function of the distance due west from New York City could be continuous, assuming that there are no abrupt changes in the geographical factors that influence temperature.The altitude above sea level as a function of the distance due west from New York City is typically continuous, generally changing smoothly as one moves across the landscape.The cost of a taxi ride as a function of the distance traveled is often a piecewise function, with portions being continuous within certain distance intervals, but possibly discontinuous at specific points where the rate changes (e.g., base fare to metered fare).The current in the circuit for the lights in a room as a function of time is generally continuous when the lights are on, but if the light switch is flipped, this creates a discontinuity at the moment the lights turn on or off.A continuous probability function has been defined such that probability equals area under the curve of the function over an interval. For real-world phenomena like temperature and altitude, these functions tend to be continuous as they reflect gradual changes over time or distance.
Is my answer correct?
Answer:
[tex]2 = x[/tex]
Step-by-step explanation:
THIS IS CORRECT! These two angles are somewhat linear pairs, so you set both expressions equal to 180°:
[tex]180° = 52° + (2^{3x + 1})°[/tex]
- 52° - 52°
______________________
128° = [tex](2^{3x + 1})°[/tex]
7 = 3x + 1
-1 - 1
_______
[tex]\frac{6}{3} = \frac{3x}{3} \\ \\ 2 = x[/tex]
[tex]128° = [2^7]°[/tex]
I am joyous to assist you anytime.