The dimensions of the rectangle are: Width = 3 feet, Length = 7 feet.
The formula for Area of rectangle
Area = length x width
Given:
Area of rectangle = 21 square feet.
Let the width of the rectangle is w feet.
According to the given information, the length of the rectangle is four feet longer than the width,
So, length = w + 4 feet.
So, Area of rectangle = length x width
21 = w (w+4)
[tex]\[21 = w^2 + 4w\][/tex]
[tex]\[w^2 + 4w - 21 = 0\][/tex]
Solve this quadratic equation, set it equal to zero:
w² + 7w -3w -21 =0
w(w+7)-3 (w+7)= 0
(w+7)(w-3) =0
Setting each factor equal to zero:
w+ 7 =0
w= -7
or, w - 3 =0
w = 3
So, the length of rectangle is
= 3+ 4
= 7 feet
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someone who's good at math plz!!!!
There is 1 gram of fat in a serving of refried beans. Each serving is 110
calories. How many calories are from fat?
Final answer:
To calculate the number of calories from fat in a serving of refried beans, multiply the grams of fat by the calories per gram of fat. In this case, there are 9 calories from fat in a serving of refried beans.
Explanation:
In order to determine the number of calories from fat in a serving of refried beans, we need to know the total amount of fat per serving. The question states that there is 1 gram of fat in a serving. It also mentions that each serving is 110 calories. To calculate the number of calories from fat, we can use the formula:
Calories from fat = Fat (in grams) × Calories per gram of fat
Plugging in the values: Calories from fat = 1 gram × 9 Calories/gram of fat = 9 Calories
Therefore, there are 9 calories from fat in a serving of refried beans.
Final answer:
In a serving of refried beans that contains 1 gram of fat, there are 9 calories from fat.
Explanation:
The question asks how many calories are from fat in a serving of refried beans. To answer this, we need to know the amount of fat and the calories in the serving. The question provides that there is 1 gram of fat in the serving and that the serving is 110 calories. Therefore, 1 gram of fat in the serving would contribute 9 calories (since fat contains 9 calories per gram). So, the number of calories from fat in the serving of refried beans is 9 calories.
To calculate the number of calories from fat in a serving of refried beans, we need to use the fact that fat provides 9 calories per gram. With 1 gram of fat in a serving of refried beans, we do the following calculation:
Multiply the amount of fat in grams by the number of calories that fat provides per gram: 1g × 9 calories/g = 9 calories.
Therefore, 9 calories of the total 110 calories in a serving of refried beans come from fat.
Deon estimated the length of a room is his house to be 13 ft. The actual length of the room is 11 ft.
Find the absolute error and the percent error of Deon's estimate. If necessary, round your answers to the nearest tenth.
absolute error = [lt
The absolute error is 2 feet and percent error is 18.18%
Step-by-step explanation:
Given,
Estimated length = 13 feet
Actual length = 11 feet
Absolute error = Estimated length - Actual length
Absolute error = 11 - 13 = -2 feet
Absolute error = 2 feet
Percent error = [tex]\frac{Absolute\ error}{Exact\ value}*100[/tex]
Percent error = [tex]\frac{2}{11}*100[/tex]
Percent error = [tex]\frac{200}{11}=18.18 \%[/tex]
The absolute error is 2 feet and percent error is 18.18%
The absolute error is 2 feet and the percent error is approximately 18.2%
Explanation:The absolute error in Deon's estimate can be found by subtracting the actual value from the estimated value and taking the absolute value. So that's |13 - 11| which equals 2 feet.
The percent error can be found by dividing the absolute error by the actual value and then multiplying by 100 to convert it into a percentage. That's (2 / 11) * 100 which equals approximately 18.2%. If we round to the nearest tenth, we get 18.2%.
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help!!!!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
Rate of change = Slope (if Sidelength = x, and perimeter= y)
(1,4) and (2,8) are point (if it was a line)
Use the slope formula...
(8-4)/(2-1)=
4/1=
4
Which of the following events are dependent?
Beth and Corrie take turns picking a card at random and recording each outcome. They replace the selected card at the bottom of the pile after each turn.
Archie and Harris take turns picking yellow- or purple-colored chips from a dish.
Jared pulls out a sock from the laundry basket containing white and black socks, puts it back, and then draws another sock at random.
Lily draws a marble from a bag filled with red and blue marbles, places her selection in a separate bag, and draws from the original bag of marbles again.
Answer:
A. Archie and Harris take turns picking yellow- or purple-colored chips from a dish.
C. Lily draws a marble from a bag filled with red and blue marbles, places her selection in a separate bag, and draws from the original bag of marbles again.
Step-by-step explanation:
Two events will be dependent if the first event influences the probability of the second event. If the first event takes something and doesn't put it back, that means the second event can't pull the same roll and the total pool of items changed.
A. Beth and Corrie take turns picking a card at random and recording each outcome. They replace the selected card at the bottom of the pile after each turn.
This option put replace the card, so it is independent
B. Archie and Harris take turns picking yellow- or purple-colored chips from a dish.
No replacement, the event should be dependent.
C. Jared pulls out a sock from the laundry basket containing white and black socks, puts it back, and then draws another sock at random.
This option put back the pulls, so it is independent
D. Lily draws a marble from a bag filled with red and blue marbles, places her selection in a separate bag, and draws from the original bag of marbles again.
No replacement for the marble taken, each draws probability should depend on the earlier draw result.
There are 50 runners in a race. How many ways can the runners finish first, second, and third?
Number of ways can the runners finish first, second, and third is 1,17,600 .
Step-by-step explanation:
Permutation is the act of arranging the members of a set into a sequence or order, or, if the set is already ordered, rearranging (reordering) its elements—a process called permuting. For example, written as tuples, there are six permutations of the set {1,2,3}, namely: (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), and (3,2,1). Formula of Permutation is : [tex]P(n,r) = \frac{n!}{(n-r)!}[/tex] where n is the number of things to choose from, and we choose r of them, no repetitions, order matters. Here , n = 50 , r= 3
⇒ [tex]P(n,r) = \frac{n!}{(n-r)!}[/tex]
⇒ [tex]P(50,3) = \frac{50!}{(50-3)!} = \frac{50(49)(48)47!}{47!}[/tex]
⇒ [tex]P(50,3) = 50(49)(48)[/tex]
⇒ [tex]P(50,3) = 1,17,600[/tex]
∴ Number of ways can the runners finish first, second, and third is 1,17,600 .
explain why an inverse variation function is not the best model for the data set
Answer: The products of corresponding x- and y- values of an inverse variation function are constant.
As x increases, y also increases.
The product of coordinate pairs are not equal: (165) (198) = 32,670 and (170) (204) = 34,680.
Step-by-step explanation:
Factor:
x2 + 9x - 36
Answer:
11x-36
for your answers
Answer:
x= -12
or
x=3
Step-by-step explanation:
in order to factorise the equation x² + 9x - 36
it will be expressed like this to make it a complete equation by subtracting 36 from both sides
x² + 9x - 36=0
the next step is to look for two numbers that when multiplied will give us -36 and when added together it will give us 9.
the numbers would be -3 and 12
so we have
x²-3x + 12x -36 =0
x(x-3) + 12(x-3) = 0
(x+12)(x-3)=0
we have,
x + 12 =0
x = -12
or
x-3 =0
x= 3
Therefore, the factors for x are -12 or 3.
Elmer deposited $2250 into a savings account that pays annual simple interest at the end of seven years he earned $157.50 in interest what is the interest rate on a savings account round to the nearest 10th of a percent
Work Shown:
i = P*r*t
157.50 = 2250*r*7 ... plug in given values
157.50 = 2250*7*r
157.50 = 15750r
15750r = 157.50
r = 157.50/15750 ... divide both sides by 15750
r = 0.01
The interest rate is 1%
To go from 0.01 to 1%, you move the decimal point 2 spots to the right.
Alternatively, you would multiply by 100.
Answer:7%
Step-by-step explanation:
Which system of equations could be used to solve for the point of intersection of the lines on the graph?
A)
y-2x+1 and - x+9
B)y=2x-1 and = x +9
C)y=xx-1 and 7x+9
D)y=-x-1 and - *+9
9
Answer:
[tex]y=\frac{3}{4}-1[/tex] and [tex]y=-\frac{4}{3}+9[/tex]
Step-by-step explanation:
step 1
Find the equation of the blue line
take the points
(0,-1) and (8,5) from the graph
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{5+1}{8-0}[/tex]
[tex]m=\frac{6}{8}[/tex]
simplify
[tex]m=\frac{3}{4}[/tex]
Find the equation of the line in slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]m=\frac{3}{4}[/tex]
[tex]b=-1[/tex] ---> see the graph
substitute the given values
[tex]y=\frac{3}{4}-1[/tex]
step 2
Find the equation of the black line
take the points
(0,9) and (3,5) from the graph
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{5-9}{3-0}[/tex]
[tex]m=-\frac{4}{3}[/tex]
Find the equation of the line in slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]m=-\frac{4}{3}[/tex]
[tex]b=9[/tex] ---> see the graph
substitute the given values
[tex]y=-\frac{4}{3}+9[/tex]
therefore
The system of equations is
[tex]y=\frac{3}{4}-1[/tex] and [tex]y=-\frac{4}{3}+9[/tex]
The equations of the blue and black lines are y = 3/4x - 1 and y = -4/3x + 9, respectively, based on their respective slopes and given points.
To find the equations of the blue and black lines, we start by determining their slopes using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on each line.
For the blue line:
Points: (0, -1) and (8, 5)
m = (5 - (-1)) / (8 - 0) = 6/8 = 3/4
Now, using the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept, we substitute the slope m = 3/4 and the given point (0, -1):
y = 3/4x - 1
For the black line:
Points: (0, 9) and (3, 5)
m = (5 - 9) / (3 - 0) = -4/3
Substituting the slope m = -4/3 and the given point (0, 9) into the slope-intercept form, we get:
y = -4/3x + 9
Therefore, the system of equations representing the blue and black lines is:
y = 3/4x - 1
y = -4/3x + 9
The question probable may be:
Write system of equations could be used to solve for the point of intersection of the lines on the graph?
1. 3x + 18 х = (0)
Completing the square
30 out of 40 is equal to what percent
Answer:
%75
Step-by-step explanation:
30/40 is equal to 0.75
0.75 is also %75
Answer: %75
102 chairs at 6 tables find the unit rateat 6 tables . Find the unit rate
The unit rate is 17 chairs per table.
Step-by-step explanation:
Given,
Total number of chairs at 6 tables = 102 chairs
Number of tables = 6
Unit rate in terms of tables = [tex]\frac{Total\ chairs}{Number\ of\ tables}[/tex]
Unit rate in terms of tables= [tex]\frac{102}{6}[/tex]
Unit rate in terms of tables = 17
The unit rate is 17 chairs per table.
"The correct unit rate is 17 chairs per table.
To find the unit rate, we need to divide the total number of chairs by the number of tables. The question states there are 102 chairs and 6 tables. The unit rate is the number of chairs per table, which can be calculated as follows:
Unit rate = Total number of chairs / Number of tables
Unit rate = 102 chairs / 6 tables
Now, we divide 102 by 6 to find the unit rate:
Unit rate = 102 / 6
Unit rate = 17
Therefore, the unit rate is 17 chairs per table. This means that at each table, there are 17 chairs."
how do I solve system of equations elimination method
Step-by-step explanation:
To Solve a System of Equations by EliminationTo Solve a System of Equations by EliminationWrite both equations in standard form. ...To Solve a System of Equations by EliminationWrite both equations in standard form. ...Make the coefficients of one variable opposites. ...To Solve a System of Equations by EliminationWrite both equations in standard form. ...Make the coefficients of one variable opposites. ...Add the equations resulting from Step 2 to eliminate one variable.To Solve a System of Equations by EliminationWrite both equations in standard form. ...Make the coefficients of one variable opposites. ...Add the equations resulting from Step 2 to eliminate one variable.Solve for the remaining variable.To Solve a System of Equations by EliminationWrite both equations in standard form. ...Make the coefficients of one variable opposites. ...Add the equations resulting from Step 2 to eliminate one variable.Solve for the remaining variable.Substitute the solution from Step 4 into one of the original equations.To Solve a System of Equations by EliminationWrite both equations in standard form. ...Make the coefficients of one variable opposites. ...Add the equations resulting from Step 2 to eliminate one variable.Solve for the remaining variable.Substitute the solution from Step 4 into one of the original equations.More items...Can anyone help me solve this?
Answer:
a- 16/100
b- 1/6
c- not sure
Step-by-step explanation:
About 53.6% of the students in class got an A. If 15 students got an A, how many students were in the class?
Answer:
Step-by-step explanation:
56.3% of the student got A
15 students got A
Then,
Let the total number of students be x
56.3% of x= got A
56.3/100 × x =15
0.563x=15
Then x=15/0.563
x=26.6
The number of students can't or be 26.6 so let approximate it
Then, x=27
Therefore 27students are in the class
Select all that apply.
What types of triangles have at least two acute angles?
right
obtuse
equilateral
isosceles
Answer:
Step-by-step explanation:
An obtuse triangle must contain an obtuse angle and two acute angles. An equilateral triangle must be 60 degrees in every corner, and thus there are 2+ acute angles. An isosceles triangle can have two angles that are 30 degrees (thus two acute), and a 120 degree angle
The polygon's are similar. Find the values of x and y.
Answer:
x = 9 y = 27
Step-by-step explanation:
Since the two polygons are similar, we know that they are proportionate to each other. If we divide the values of corresponding sides:
16 ÷ 12 = 1 ¹/₃
32 ÷ 24 = 1 ¹/₃
We now know that the figure on the left is 1 ¹/₃ times the figure on the right. With this information, we can figure out the measurements of the two sides and then find the values of x and y.
6 · 1 ¹/₃ = 8
21 · 1 ¹/₃ = 28
Now that we know the values of each side, we can plug our equations in to find the values of x and y.
x - 1 = 8
x = 9
y + 1 = 28
y = 27
~Hope this helps!~
x2 - 6x + 12 and y = 2x - 4, algebraically are
The first two steps in determining the solution set of the system of equation
shown in the table.
Step
Step 1
Step 2
Equation
x² - 6x + 12 = 2x - 4
x2-8x+16=0
Which represents the solution(s) of this system of equations?
(4.4)
(-4,-12)
(4.4) and (-4, 12)
(-4, 4) and (4, 12)
Answer:
its A (4,4)
Step-by-step explanation:
The solution of the system y = x² - 6x + 12 and y = 2x - 4 is (4, 4).
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, y = x² - 6x + 12 and y = 2x - 4.
∴ The solution set of this system is,
x² - 6x + 12 = 2x - 4.
x² - 8x + 16 = 0.
x² - 4x - 4x + 16 = 0.
x(x - 4) - 4(x - 4) = 0.
(x - 4)(x - 4) = 0.
x - 4 = 0 Or x - 4 = 0.
x = 4 Or x = 4.
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Write an equation in slope intercept form of the line that passes through (-1,2) and has a slope of 1/2.
Answer:
[tex]y=\frac{1}{2} x+2.5[/tex]
Step-by-step explanation:
I graphed the equation on the graph below.
If this answer is correct, please make me Brainliest!
V
Harlon recorded this set of data, which contains an outlier.
163, 97, 184, 199, 169, 175
What is the range of this set of data?
12
97
102
172
Answer:5
Step-by-step explanation:
Answer:
102
Step-by-step explanation:
To find the range of a set of data, you have to put all of the values in order from smallest to largest. Then you subtract the smallest and largest value to find your answer.
199 - 97 = 102
Need help with this ASAP!! Will award brainliest to answer with steps!! Anthony has a sink that is shaped like a half-sphere. The sink is 660pi in.^3. One day his sink clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely full when he begins scooping.
Answer:
part a) 13 scoops
part b) 3 scoops
Step-by-step explanation:
1) so we know that the volume of the sink is 660pi in^3
we have to divide this with the volume of each cup to find out the number of scoops it takes to get all the water out.
since we are dividing, I don't like leaving answers in terms of pi so
660*pi= 2073.45115137
formula for volume of cylinder(diameter) [tex]pi(\frac{d}{2} )^2 h[/tex]
pi*(5/2)^2*h=157.079632679
so
2073.45115137/157.079632679= 13.2 - for cup 1
for cup 2:
pi*(10/2)^2*8= 628.318530718
so
2073.45115137/628.318530718= 3.3- for cup 2
Hope this helps!
what is the value of x
Answer:
4
Step-by-step explanation:
Sin(30) = LJ/8sqrt(3)
Sin 30 = ½
LJ = 4sqrt(2)
LM = JM = x
x² + x² = (4sqrt(2))²
2x² = 32
x² = 16
x = 4
37.5% of what number is 6
To find the number that 37.5% of it equals 6, set up an equivalent fractions equation, cross-multiply, and solve for the unknown number. In this case, 37.5% of 16 is 6.
Explanation:The question pertains to finding a certain number when given a percentage of that number. Here, we're asked to find the number of which '37.5% is 6'. We can solve this through simple arithmetic and the use of equivalent fractions. An important rule to remember is that 'percentage' literally means 'per 100', so 37.5% can be written as the fraction 37.5/100.
To find the unknown number (let's call it X), you can set up the equation 37.5/100 = 6/x, where 'x' is the number we're trying to find. Then you cross-multiply to solve for 'x': 37.5 * X = 6 * 100. Simplifying this, X = (6 * 100) / 37.5. Calculating that out gives X = 16. Therefore, 37.5% of 16 is 6.
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The value of the unknown number whose 37.5 percent equals 6 is 16.
What number does its 37.5% gives 6?Given the parameter:
37.5% of what number is 6
The problem is asking for 37.5% of some unknown number which gives 6.
We can represent the unknown number as x.
Now, the equation to find the unknown number will be:
37.5% of x = 6
Replace 37.5% with 37.5/100:
37.5/100 of x = 6
37.5/100 × x = 6
Solve for x:
0.375 × x = 6
0.375x = 6
Divide both sides by 6:
x = 6/0.375
x = 16
Therefore, the value of the number is 16.
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At the park there is a pool shaped like a circle with diameter 22 yd. A ring-shaped path goes around the pool. Its width is 6 yd.
We are going to give a new layer of coating to the path. If one gallon of coating can cover 5 yd", how many gallons of coating do we need? Note that coating
comes only by the gallon, so the number of gallons must be a whole number. (Use the value 3.14 for n).
Answer:
106 gal
Step-by-step explanation:
step 1
Find the area of the path
we know that
The area of the path is given by the formula
[tex]A=\pi r_2^{2} -\pi r_1^{2}[/tex]
[tex]A=\pi [r_2^{2} -r_1^{2}][/tex]
where
r_2 is the radius of the pool plus the width of the path
r_1 is the radius of the pool
we have
[tex]r_1=22/2=11\ yd[/tex] ---> the radius is half the diameter
[tex]r_2=11+6=17\ yd[/tex]
substitute
[tex]A=\pi [17^{2}-11^{2}][/tex]
[tex]A=168\pi\ yd^2[/tex]
assume
[tex]\pi =3.14[/tex]
[tex]A=168(3.14)=527.52\ yd^2[/tex]
step 2
Find the gallons of coating needed
Divide the area of the path by 5
so
[tex]527.52/5=105.5\ gal[/tex]
Round up
therefore
106 gal
To calculate how many gallons of coating are needed, we find the area of the path by subtracting the area of the pool from the total area covered. This equals to 527.52 yd². As each gallon of coating covers 5 yd², we need 105.504 gallons. However, since the paint is sold in whole gallons, we round it up to 106 gallons.
Explanation:To determine how many gallons of coating are needed, we first need to calculate the area of the ring-shaped path around the pool.
The pool is a circle with a diameter of 22 yd, so its radius is 11 yd. The path is around this pool and has a width of 6 yd. Therefore, the outer radius of the path is 11yd (radius of pool) + 6yd (width of path)=17 yd. The area of a circle is given by the formula πr² where r is the radius and π is a constant, approximately equal to 3.14.
So, the area of the outer circle is 3.14 × (17 yd)² = 907.46 square yards, and the area of the inner circle (pool) is 3.14× (11 yd)² = 379.94 square yards. The area of the path is the difference of those two areas, 907.46 yd² - 379.94 yd² = 527.52 yd².
Since one gallon of the coating can cover 5 sq yd, the number of gallons required is the total area divided by the area that one gallon can cover, which is 527.52 yd² / 5 yd²/gallon = 105.504 gallons. Since paint comes in whole gallons, you'll need to round up to the next whole number, which is 106 gallons.
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A type of bacteria has a very high exponential growth rate of 80% every hour. If there are 10 bacteria, determine how many will be in 5 hours,1 day, and 1 week
Solution:
Given that,
A type of bacteria has a very high exponential growth rate of 80% every hour
There are 10 bacteria
The increasing function is given as:
[tex]y = a(1+r)^t[/tex]
Where,
y is future value
a is initial value
r is growth rate
t is time period
From given,
a = 10
[tex]r = 80 \5 = \frac{80}{100} = 0.8[/tex]
Determine how many will be in 5 hours
Substitute t = 5
[tex]y = 10(1 + 0.8)^5\\\\y = 10(1.8)^5\\\\y = 10 \times 18.89568\\\\y \approx 188.96[/tex]
y = 189
Thus, there are 189 bacteria in 5 hours
Determine how many will be in 1 day ?
1 day = 24 hours
Substitute t = 24
[tex]y = 10(1 + 0.8)^{24}\\\\y = 10(1.8)^{24}\\\\y = 10 \times 1338258.84\\\\y = 13382588.45\\\\y \approx 13382588[/tex]
Thus, there are 13382588 bacteria in 1 day
Determine how many will be in 1 week
1 week = 168
Substitute t = 168
[tex]y = 10(1 + 0.8)^{168}\\\\y = 10(1.8)^{168}[/tex]
Thus there are [tex]10(1.8)^{168}[/tex] bacteria in 1 week
Identify the property used in each step of solving the inequality 3x-2>-4.
Addition property of equality
Division property of equality
Solution:
Given inequality is:
3x - 2 > 4
[tex]\mathrm{Add\:}2\mathrm{\:to\:both\:sides}[/tex]
Here, Addition property of equality is used
When the same amount is added to both sides of an inequality, then the inequality is still true
3x - 2 + 2 > 4 + 2
3x > 6
[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]
Here, Division property of equality is used
When we divide both sides of an equation by the same nonzero number, the sides remain equal.
[tex]\frac{3x}{3}>\frac{6}{3}\\\\x > 2[/tex]
Thus the property used in each step of solving the inequality is found
What fractions are equivalent to 20/22
Answer:
10/11
Step-by-step explanation:
You can find this answer by dividing the top and bottom numbers by 2.
Final answer:
Equivalent fractions of 20/22 can be found by simplifying it to 10/11 or by scaling it up, such as 40/44 or 60/66, by multiplying the numerator and denominator by the same whole number.
Explanation:
To find fractions equivalent to 20/22, you can simplify or scale the fraction up by multiplying both the numerator and the denominator by the same nonzero whole number. An equivalent fraction is one that represents the same value when both the top number (numerator) and the bottom number (denominator) are multiplied or divided by the same value.
Simplifying 20/22 means finding the greatest common divisor of 20 and 22, which is 2. So, dividing both by 2, we get 10/11. To scale up, you can multiply both the numerator and the denominator by any nonzero whole number, such as 2, to get 40/44, or 3 to get 60/66, and so on. Each of these fractions represents the same part of a whole as 20/22.
Solve using a fraction multiplication sentence .005 x .3
Answer:
15/10,000
Step-by-step explanation:
0.005 = 5/1000
0.3 = 3/10
5/1000 * 3/10 = 15/10,000
Answer: 15/10,000
Please help
Linda and Ralph have signed a contract to purchase a home. The closing date is April 27, and the buyer owns the property on the day of closing The selling price of the
home is $782,500. Linda and Ralph obtained a fixed-rate mortgage from a bank for $685,000 at 7 35% interest. The seller has already paid $14,578.15 in property taxes
for the coming year. How much will Linda and Ralph owe in prorated expenses? (3 points)
Final answer:
Linda and Ralph will owe approximately $9,905.52 in prorated property taxes for the year, after calculating the daily property tax rate and multiplying it by the number of days they will own the home in the current tax year.
Explanation:
Linda and Ralph need to determine their prorated expenses for the property taxes that have already been paid by the seller. To calculate this, we first need to determine the daily property tax rate, and then calculate how much they owe from the closing date, April 27, until the end of the year, December 31.
Calculating the Daily Property Tax Rate
The seller paid $14,578.15 for the full year. There are 365 days in a year, so the daily property tax rate is:
Daily rate = Total annual taxes / Number of days in the year
Daily rate = $14,578.15 / 365
Daily rate ≈ $39.94
Calculating Prorated Property Tax from Closing Date
Linda and Ralph will own the property starting on April 27, and there are 248 days remaining in the year from April 27 to December 31 (inclusive). Therefore, the prorated amount they owe for property taxes is:
Prorated taxes = Daily rate * Number of days from closing to end of year
Prorated taxes = $39.94 * 248
Prorated taxes ≈ $9,905.52
Linda and Ralph will owe approximately $9,905.52 in prorated property taxes for the year.
If X || Y and Y || Z, then _____
A) A || B
B) X || Z
C) X⊥A
D) A⊥Z
Answer:
B) X || Z
Step-by-step explanation:
Hope it helps you in your learning process.