In Atlanta, the tax on a property assessed at $930,000 is $19,530. If tax rates are proportional in this city, how much would the tax be on a property assessed at $660,000?Choose the proportion you would use to solve the problem.
Answers
Variables
• x: assessed price
,• y: tax
Given that the tax is proportional to the assessed price, then these variables are related by the next formula:
y = kx
where k is some constant.
If we have two ordered pairs (x1, y1) and (x2, y2), the relations are:
\(\begin{gathered} y_1=kx_1 \\ \text{ And} \\ y_2=kx_2 \end{gathered}\)Dividing y1 by y2:
\(\begin{gathered} \frac{y_1}{y_2}=\frac{kx_1}{kx_2} \\ \text{ Simplifying:} \\ \frac{y_1}{y_2}=\frac{x_1}{x_2} \\ \text{ Dividing by x1 at both sides} \\ \frac{y_1}{y_2\cdot x_1}=\frac{x_1}{x_2\cdot x_1} \\ \frac{y_1}{y_2\cdot x_1}=\frac{1}{x_2} \\ \text{ Multiplying by y2 at both sides} \\ \frac{y_1\cdot y_2}{y_2\cdot x_1}=\frac{1\cdot y_2}{x_2} \\ \frac{y_1}{x_1}=\frac{y_2}{x_2} \end{gathered}\)Substituting with y1 = $19,530, x1 = $930,000, x2 = $660,000, and y2 = x:
\(\frac{19530}{930000}=\frac{x}{660000}\)
Related Questions
A certain disease has an incidence rate of 0.3%. If the false negative rate is 6% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.
Answers
The probability that a person who tests positive actually has the disease is 0.012%
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Incidence rate = 0.3%False negative rate = 6%False positive rate = 4%The probability that a person who tests positive actually has the disease is represented as
Probability = Incidence rate * False positive rate
Substitute the known values in the above equation, so, we have the following representation
Probability = 0.3% * 4%
Evaluate the products
Probability = 0.012%
Hence, the probability is 0.012%
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Home Prices The median selling price of an existing home in the United States increased continuously over the period 2011–2013 at the rate of 8.5% per year from approximately $166,000 in 2011.27 Write down a formula that predicts the median selling price of an existing home t years after 2011. Use your model to estimate, to the nearest $1,000, the median selling price of an existing home in 2013 and 2015
Answers
Answer:
166,000(1 + 0.085)^t ; $195,000 ; $230,000
Step-by-step explanation:
Given that :
Rate of increase = 8.5% = 0.085 per year
Initial value ; price in 2011 (A) = $166,000
Formula to predict the median price t years after 2011 ;
At a continous rate :
Median price, P:
P = initial price (1 + rate)^t
P = 166,000(1 + 0.085)^t
t = time since 2011 ;
Median price of home in 2013:
t = 2013 - 2011 = 2
P = 166,000(1 + 0.085)^2
P = 166000(1.085)^2
P = 166000(1.177225)
P = 195419.35
P = $195,000 ( nearest $1000)
Median price of home in 2013:
t = 2015 - 2011 = 4
P = 166,000(1 + 0.085)^4
P = 166000(1.085)^4
P = 166000(1.385858700625)
P = 230052.54430375
P = $230,000 ( nearest $1000)
The ratio of the side length of square A to the length of Square B is 4:9 The side length of square A is 12 yards. What is the perimeter of Square B
Answers
Step-by-step explanation:
side A / side B = 4/9
side A = 12 yards
=>
12 / side B = 4/9
12 = side B × 4/9
9×12 = side B × 4
side B = 9×12/4 = 9×3 = 27 yards
perimeter of B is 4×side B = 4×27 = 108 yards
An account pays 7% per year simple interest. In year 1, the amount in the
account is
$950. How much is in the account in year 6?
Answers
The amount in year 6 is $1282.5.
What is simple interest?
Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Given,
rate of interest = 7%
time = 1 year
Amount on first year = $950
First we will calculate simple interest for 5 years, because amount is available for 1 year.
SI =PRT
SI = 950(7/100)1
SI = $332.5
Therefore, the amount after 6 years = 950+332.5
=$1282.5
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If you are traveling in your car at an average rate of r miles per hour for T hours, then the distance d in miles that you travel is described by the formula d=rt that is distance equals rate times time. A distance of 60 miles at an average rate of 40 miles per hour is covered in ___ hours?
Answers
Answer:
1.5 hr
Step-by-step explanation:
d = rt
re-arrange to
d/r = t
60 miles / 40 miles/hr = 1.5 hr
What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a
vertex of the triangular bases?
A
a parallelogram that is not a rectangle
O a rectangle
O a triangle that must have the same dimensions as the bases
O a triangle that may not have the same dimensions as the bases
Answers
Answer:
a triangle that may not have the same dimensions as the bases
Step-by-step explanation:
The cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases would be a triangle that may not have the same dimensions as the bases.
Which expression is equivalent to 7m+5.5(2+m)
?
Answers
Pour développer il faut appliquer la distributivité de la multiplication :
7m + 5.5(2+m) = 7m + 5.5 x 2 + 5.5m
= 7m + 11 + 5.5m
Il faut combiner les termes contenant m :
= 7m + 5.5m + 11
= (7 + 5.5)m + 11
= 12.5m + 11
The dance team has three cupcake sales a
year to raise money. The amount of money
they make is a function of the amount of
people who buy cupcakes. This function is
represented by the three ordered pairs (40,
100), (70, 175) and (90, 225). What is the
domain of this function?
help
Answers
Answer:
40,70,90
Step-by-step explanation:
You are planning a trip to Bermuda but have heard stories of people getting lost in the area that forms what is known as the Bermuda Triangle. You are curious just how big the area that forms the triangle actually is and decide to investigate. You discover that one side length of the triangle is 890 miles and another side is 920 miles and the angle between them is 70 degrees. What is the area that the plane can fly and be in the zone known as the Bermuda Triangle? Round the answer to the nearest mile.
Answers
Answer:
160
Step-by-step explanation:
The length of a rectangle is 2 inches shorter than double the width. Which shows the correct algebraic expressions for the length and width of the rectangle?
Answers
Answer:
let Length = x
then width = x -2 (2 inches less than length
now
A = Lw
35 = x (x -2)
35 = x2 - 2x
x2 -2x -35 = 0
(x-7)(x+5) = 0
x-7=0
x=7
so length = 7
width = 7 -2 = 5
Hope this helps
Step-by-step explanation:
Carrie has 0.83 liters of juice in her pitcher. Sanji's pitcher has 2 times as much juice as Carrie's pitcher. Lee's pitcher has 4 times as much juice as Carrie's pitcher. Sanji and Lee pour all their juice into a large bowl.
How much juice is in the bowl?
There are liters of juice in the bowl.
Answers
Answer:
Step-by-step explanation:
No matter what, whatever number times the amount will look like this.
Carries x the number times = the other pitchers.
For example if sanjis is two times carries then it will be 0.73 times 2. Do the same thing with both and then add the two answers together.
If you provide "how many times" then I can help a little more!
Please help!!!!! ASAP
Answers
Find the area of the blue-shaded region. Please help I need it asap. The answer is 20.0m squared I cannot figure out the work for it
Answers
The area of the blue-shaded region is 19.95 m²
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,
Using the Pythagoras theorem,
15.5² = 14²+w² [width]
w² = 240.25-196
w² = 44.25
w = 6.65
Therefore, the width of the rectangle is 6.65 m
That mean, the height of the parallelogram is 6.65 m,
The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,
Area of the remaining region = 14×6.65-11×6.65
= 6.65(14-11) = 6.65×3
= 19.95 m²
Hence, the area of the blue-shaded region is 19.95 m²
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If my teacher is giving 6 prizes and I am the first one to get the prize. She says it’s in an envelope ✉️ what is it I will give brainlest for the best answer
Answers
Is it???
Pls mark brainliest
Write the given expression without the absolute value symbol.
|x − y| − |y − x|
Answers
Answer:
- x - 2y
Step-by-step explanation:
x - y - y - x
- x - 2y
Find the value of each variable?
A. Ax3= -30
B. -9xb=45
The answer
A=-10
B= -5
Answers
The solutions to the given variables are given as follows:
A = -10.B = -5.What are the solutions of the equations for the variables?To solve an equation for a given variable, we isolate the variable and find it's value.
The first equation is:
3A = -30.
To isolate A, we apply the division, which is the inverse operation of the multiplication, hence:
A = -30/3
A = -10. (negative number divided by positive is negative).
The second equation is:
-9B = 45.
Hence we isolate B similarly to the previous item, applying the division, hence:
B = -45/9
B = -5.
The solutions are A = -10 and B = -5.
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Which of the following is the correct formula for distance?
(A.) d= (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
(B.) d= sqrt (x2+x1)^2+(y2+y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
(C.) d= sqrt (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
(D.) d= sqrt (x2-x1)+(y2-y1), where d is the distance between points (x1,y1) and (x2,y2).
Answers
Answer:
(C.) d= sqrt (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
Step-by-step explanation:
Answer:
\(\Huge \boxed{\mathrm{C }}\)
Step-by-step explanation:
\(\sf The \ distance \ formula \ is \ given \ as:\)
\(d=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2 }\)
\(d \Rightarrow \sf distance\)
\((x_1,y_1) \Rightarrow \sf Coordinates \ of \ the \ first \ point\)
\((x_2,y_2) \Rightarrow \sf Coordinates \ of \ the \ second \ point\)
100 POINTS!! NEED ANSWER WITH WORK ASAP!!
Coach Bennet’s high school basketball team has 14 players, consisting of six juniors and eight seniors. Coach Bennet must select three players from the team to participate in a summer basketball clinic.
How many different groups of three players are possible for Coach Bennet to select?
Answers
Answer:
See below ~
Step-by-step explanation:
This is a combination because the order in which the players are selected is not important.
Number of ways
14! / 11! 3!14 x 13 x 12 x 11! / 11! x 3 x 214 x 13 x 2364 waysApply combination
\(\\ \rm\Rrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}\)
So
\(\\ \rm\Rrightarrow ^{14}C_3\)
\(\\ \rm\Rrightarrow \dfrac{14!}{3!(14-3)!}\)
\(\\ \rm\Rrightarrow \dfrac{14(13)(12)(11!)}{3!11!}\)
\(\\ \rm\Rrightarrow \dfrac{14(13)(12)(11)}{6}\)
\(\\ \rm\Rrightarrow 14(13)(2)(11)\)
\(\\ \rm\Rrightarrow 4004\)
1) Ella is making crepes for brunch guests. The number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served. Which statements are correct for this situation?
Answers
Answer:
b,d,c
Step-by-step explanation:
y = 1 4 x calculates the number of eggs, y, for x crepes. The constant of proportionality is 1 4 . Ella needs 15 eggs to make 60 crepes. y = kx, where k is the constant of proportionality → y = 5 eggs 20 crepes x → y = 1 4 x; thus, k = 1 4 y = 1 4 (60) = 15 eggs
For 60 creps, 15 eggs will be needed.
What is equation modelling? What is a mathematical equation and expression? Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that the number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served
Now, for 20 creps, 5 eggs are needed.
Then for 1 crep, (5/20) eggs are needed.
For 60 creps, (5/20) x 60 = 15 eggs will be needed.
Therefore, For 60 creps, 15 eggs will be needed.
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Find tan2θ if θ terminates in Quadrant IV and cosθ = 3/5.
A. -1/2
B. 1/2
C. 24/7
D. -24/7
Answers
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\( \cos( \alpha ) = \frac{3}{5} \\ \)
\( {sin}^{2}( \alpha ) = 1 - {cos}^{2} ( \alpha )\)
\( {sin}^{2}( \alpha ) = 1 - ({ \frac{3}{5} })^{2} \\ \)
\( {sin}^{2}( \alpha ) = 1 - \frac{9}{25} \\ \)
\( {sin}^{2}( \alpha ) = \frac{25}{25} - \frac{9}{25} \\ \)
\( {sin}^{2}( \alpha ) = \frac{16}{25} \\ \)
\( sin( \alpha )= ± \sqrt{ \frac{16}{25} } \\ \)
In Quadrant IV , sin is negative .
Thus ;
\(sin( \alpha ) = - \sqrt{ \frac{16}{25} } \\ \)
\( \sin( \alpha ) = - \frac{4}{5} \\ \)
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\( \tan(2 \alpha ) = \frac{ \sin(2 \alpha ) }{ \cos(2 \alpha ) } \\ \)
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\( \sin(2 \alpha ) = 2. \sin( \alpha ). \cos( \alpha ) \)
\( \sin(2 \alpha ) = 2 \times ( - \frac{4}{5} ) \times ( \frac{3}{5} ) \\ \)
\( \sin(2 \alpha ) = - \frac{24}{25} \\ \)
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\( \cos(2 \alpha ) = {cos}^{2}( \alpha ) - {sin}^{2}( \alpha ) \)
\( \cos(2 \alpha ) = ({ \frac{3}{5} })^{2} - ({ - \frac{4}{5} })^{2} \\ \)
\( \cos(2 \alpha ) = \frac{9}{25} - \frac{16}{25} \\ \)
\( \cos(2 \alpha ) = - \frac{7}{25} \\ \)
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\( \tan(2 \alpha ) = \frac{ \sin(2 \alpha ) }{ \cos(2 \alpha ) } \\ \)
\( \tan(2 \alpha ) = \frac{ - \frac{24}{25} }{ - \frac{7}{25} } \\ \)
\( \tan(2 \alpha ) = - \frac{24}{25} \div - \frac{7}{25} \\ \)
\( \tan(2 \alpha ) = - \frac{24}{25} \times - \frac{25}{7} \\ \)
\( \tan(2 \alpha ) = \frac{24}{7} \\ \)
Thus the correct answer is (( C )) .
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Answer:
we have
cos θ = 3/5.
sin²θ=1-cos²θ
sin²θ=1-9/25
sin²θ=16/25
sinθ=±4/5
since it lies in IV qyadrant so
sinθ=-4/5
we have
tan2θ=sin2θ/cos2θ=2sinθcosθ/[cos²θ-sin²θ)
=(2×-4/5×3/5)/(9/25-16/25)=24/7
find each sum.
1)-9+(-2)
2)3.2+1.4
3)5.1+(0.7)
4)2.2+(-3.8)
Answers
Answer:
1. 18
2. 0.36
3. 3. 57
4. -7. 36
25 POINTS What is Two-thirds of Seven-eighths?
Seven-twelfths A
Nine-twelfths B
Nine-elevenths C
Ten-elevenths D
DO NOT ANSWER IF YOU DON'T KNOW OR IT IS NOT CORRECT OR I WILL REPORT.
Answers
Answer:
The answer is A :D
Step-by-step explanation:
Hope this helps!
unrelated: It's not 25 points it's 13
I need helping finding the equation of the ellipse please.
Answers
Turn me into a superhero
what is 3335 ÷ 23
\(3335 \div 23\)
Answers
Answer:
145
Step-by-step explanation:
What is the answer to “Animal Cells Are More Interesting Than Plant Cells.”
Answers
Answer:
This is more of a question that involves opinion, I prefer to studdy animal cells but that is merely my opinion. Plant cells are interesting too and may be more interesting to someone else, But for me animal cells are the better choice.
Step-by-step explanation:
Definition. Animal cells are the basic unit of life in organisms of the kingdom Animalia. They are eukaryotic cells, meaning that they have a true nucleus and specialized structures called organelles that carry out different functions.
Plant cells are the basic unit of life in organisms of the kingdom Plantae. They are eukaryotic cells, which have a true nucleus along with specialized structures called organelles that carry out different functions. Plant cells have special organelles called chloroplasts, which create sugars via photosynthesis.
Suppose f′(6)=5 and g′(6)=7.
Find h′(6) where h(x)=4f(x)+5g(x)+1.
Answers
The value of the derivative of functions h'(6) as requested in the task content is; 55.
What is the value of h'(6)?Since it follows from the task content that the function h(x)=4f(x)+5g(x)+1.
Hence, the derivative of h(x) can be evaluated as;
h'(x)=4f'(x)+5g'(x)
On this note, by substitution, it follows that;
h'(6)=4(5)+5(7)
h'(6) = 55.
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this is confusing hard
Answers
Answer:
My best recommendation is to find the median.
Step-by-step explanation:
To find a median, find the averaging number and divide by 2. Round them up for odd numbers. For even numbers, leave them and if it's a decimal, find a remainder. If the median method does not work, put the numbers on a ratio comparison and see if that gives you the next patterns.
I tried my best so I really do hope this helps you.
7. N.CN.7 Determine the zeroes for the equation below. Select all that apply.
x² - 6x +13=0
A. 1
B. 5
C. 13
D. -3 + 2i
E. 3+2i
F. 3+4i
G. 6 + 4i
H. 3-21
I .6-41
Answers
Answer:
D. -3 + 2i and E. 3+2i are the zeroes for the equation.
Step-by-step explanation:
A bag contains 10 green,8 blue, and 2 white balls. Naomi seclets 2 balls from the bag at random, one at a time, without replacing them. What is the probability that she selects all two white balls?
E.) 2/95
F.) 1/95
G.) 1/190
H.) 1/380
Answers
To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Total number of outcomes:
Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:
Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190
Number of favorable outcomes:
Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:
Favorable outcomes = C(2, 2) = 1
Probability = Favorable outcomes / Total outcomes = 1/190
Therefore, the correct answer is (G) 1/190.
Was it evaluated correct?
explain your reasoning
Answers
Answer:
Yes
Step-by-step explanation:
Yes. They did exponents and grouping symbols first, then multiplication and division left to right. Addition came before multiplication and division because it was inside a grouping symbol.