Answer:
1. $97,265
2. $17,865
Step-by-step explanation:
Step one:
given data
cost of the house= $397,000.
we are told that the commission is 4.5% real estate agency
and also the agent commission is 20%
Step two:
1. How much did the agency make on the house?
this amount is 20% plus 4.5% together.
=20/100*397,000 +4.5/100*397,000
=0.2*397,000. +0.045*397,000.
=79400+17865
=97,265
The agent made a total of $97,265 on the house
2. How much did the agent earn in commission?
in commission, the rate is 4.5% which amounts to $17,865
what is the
507
If the probability that a person will die in the next year is
507/100,000 what is the
probability that the person will not die in the next year?
A. 99493
B. 99%
C. 0.99493
D. 0.99507
Answer:
C. 0.99493
Step-by-step explanation:
Hope this helps!
The probability that the person will not die in the next year should be considered as the 0.00943.
Calculation of the probability:Since
the probability that a person will die in the next year is 507/100,000
So, it can be like
[tex]= (100,000 - 507) \div 100,000[/tex]
= 0.99493
hence, The probability that the person will not die in the next year should be considered as the 0.00943.
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a large study used records from canada's national health care system to compare the effectiveness of two ways to treat prostate disease. The two treatments are traditional surgery and a new method that does not require surgery. The records described many patients whose doctors had chosen each method. The study found that patients treated by the new method were significantly more likely to die within 8 years. You have 300 prostate patients who are willing to serve as subjects in an experiment to compare the two methods. Describe a completely randomized design for this experiment. Write a few sentences describing how you would implement your design.
Answer:
compile the list of the 300 prostate patients considering various diversities i.e. various ages, various stages of the disease, various racial, social and economic background , various lifestyles as well.divide the sample into two groups, ensuring that each group is diversified equallyAssign each group to the one of the two treatment proceduresfollow up on the different group after treatmentcompare the measurable variables from both groups after treatment in order to determine which treatment method is bestStep-by-step explanation:
A completely randomized design for this experiment can be carried out following the following steps
compile the list of the 300 prostate patients considering various diversities i.e. various ages, various stages of the disease, various racial, social and economic background , various lifestyles as well.divide the sample into two groups, ensuring that each group is diversified equallyAssign each group to the one of the two treatment proceduresfollow up on the different group after treatmentcompare the measurable variables from both groups after treatment in order to determine which treatment method is bestUna caja registradora contiene $1782 en monedas de cinco pesos, de diez y de un peso. Hay 802 monedas en total, y 10 veces más de 5 que de a 10 ¿Cuántas monedas hay de cada una en la caja registradora?
Answer:
En la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas un peso.
Step-by-step explanation:
De acuerdo a la información, puedes escribir las siguientes ecuaciones:
x+y+z=802 (1)
5x+10y+z=1782 (2)
x=10y (3)
Primero debes reemplazar (3) en (1) y (2):
10y+y+z=802
11y+z=802 (4)
5(10y)+10y+z=1782
50y+10y+z=1782
60y+z=1782 (5)
Ahora, tienes dos ecuaciones:
11y+z=802 (4)
60y+z=1782 (5)
Puedes despejar z en (4):
z=802-11y (6)
Después, puedes reemplazar (6) en (5):
60y+802-11y=1782
49y=1782-802
y=980/49
y=20
Puedes reemplazar el valor de y en (3) para encontrar x:
x=10y
x=10(20)
x=200
Puedes reemplazar el valor de y en (6) para encontrar z:
z=802-11(20)
z=802-220
z=582
De acuerdo a esto, en la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas de un peso.
Suppose 15% of x equals 20% of y. What percentage of x is y?
a) 5 b) 35 c) 75 d) 133 1/5 e) 300
Answer:
c)15
Step-by-step explanation:
Confirmed by rsm
A percentage is a way to describe a part of a whole. x is 133¹/₃% of y. The correct option is D.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that 15% of x equals 20% of y. Therefore, we can write,
15% of x = 20% of y
(15/100) × x = (20/100) × y
Multiply both the sides of the equation by 100,
(15/100) × x × 100 = (20/100) × y × 100
15x = 20y
x/y = 20/15
Divide both the sides of the equation by 5,
x/y = 4/3
Now, the percentage of x that is y is,
Percentage = (x/y) × 100%
= (x/y) × 100%
= (4/3) × 100%
= 133.33%
= 133 ¹/₃ %
Hence, x is 133.33¹/₃% of y.
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PLS HELP I WILL GIVE BRAINLIEST
Answer:
C.) 8
Step-by-step explanation:
1 1/2 / 3/16 = 8
Answer:
Its c
Step-by-step explanation:
you convert 1 1/2 into 1 8/16, divided by 3/16. which gives you your answer.
PLEASE HELP ME ASAP
Solve for x in the diagram below
Answer:
x=12
Step-by-step explanation:
The right angle is congruent to the other side. So 90-20=70. 6x-2=70. Add 2 to both sides to cancel out the minus 2. 6x=72 72/6=12
Answer:
[tex]\huge\boxed{\sf x = 12}[/tex]
Step-by-step explanation:
6x - 2 + 20 = 90 [Complementary Angles]
6x + 18 = 90
Subtracting 18 to both sides
6x = 90 - 18
6x = 72
Dividing both sides by 6
x = 12
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807find the angle represented by x ( round the nearest tenth of a degree) A 16.2 B 16.4 c17.1 d17.4
Answer:
B. 16.4°
Step-by-step explanation:
reference angle = x = [tex] \theta [/tex]
Side length opposite to x = 20 ft = opp
Adjacent side length = 68 ft = adj
Apply the following trigonometric ratios formula:
[tex] tan(\theta) = \frac{opp}{adj} [/tex]
Plug in the values into the formula
[tex] tan(x) = \frac{20}{68} [/tex]
[tex] tan(x) = 0.2941 [/tex]
[tex] x = tan^{-1}(0.2941) [/tex]
[tex] x = 16.3886 [/tex]
x = 16.4° (nearest tenth)
Answer:
B. 16.4
Step-by-step explanation:
A jar can hold of a pound of flour. Austin empties of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.
Answer:
2/3 of the jar was filled with flour
Step-by-step explanation:
The question is incomplete. Here is the complete question.
A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.
Given
Amount a jar can hold a = 3/4 of a pound of flour
If Austin empties 1/2 of a pound of flour into the jar, then the amount emptied into the jar b = 1/2 pounds
Fraction of jar filled will be expressed as b/a as shown;
b/a = (1/2)/(3/4)
b/a = 1/2 ÷ 3/4
b/a = 1/2 * 4/3
b/a = 4/6
Simplify to the lowest term
a/b = 2*2/2*3
a/b = 2/3
Hence 2/3 of the jar was filled with flour
Solve for the value of x.
Answer:
x= 12
Step-by-step explanation:
The sum of both of the equasions equal up to 180. so you set up the problem like this:
(9x-4)+(6x+4)=180
15x=180
x=12
To check;
(9(12)-4)+(6(12)+4)=180
104+76=180
5. A line has a slope of (-3/2) and a y-intercept of (-4). Write the equation of the line.
Explanation:
Answer:
Y=-3/2x-4
Step-by-step explanation:
Point slope form is
y=mx+b
mx is the slope
and b is the y-intercept
write the algebraic expression that represents the following
b. Five less than the quotient of nine and a number
c. One half of the sum of six times a number and twenty-two
d. Nine less than twice the difference between a number and seven
e. Eleven less than a number squared
Answer:
9x -5
1/2(6x +22)
2(x-7)-9
x2 -11
Aaron needs to hire a waiter. Waiter A is offering his services for an
initial $25 in addition to $5.25 per hour. Waitress B is offering her
services for an initial $30 in addition to $4.25 per hour. When will the
two waiters charge the same amount of money?
Answer:
In 4 Hours
Step-by-step explanation:
1 hour: A: 30.25 B: 34.25
2 hours: A: 35.5 B: 38.5
3 Hours: A: 40.75 B: 42.75
4 Hours: A: 46 B: 46
what is the slope of this graph?
Answer:
It is -2/3
Step-by-step explanation:
The cost of Ken's car wash was $24.00. If he wants to give his detailer a 15% tip, about how much of a tip should he leave?
If you have 6 pieces of plywood
that are 4'x8', how many total
1xl pieces can you get out if
you use all of them?
Answer:192
Step-by-step explanation:
Calculate the area l*w or s*s
Divide the two areas to get the number of 1*1 from 1 plywood then multiply by their number which is 6 here
4*8=32/1=32*6=192
Functions can be defined using graphs, tables, and ordered pairs. What is the domain of a function?
The domain is any y-value.
The domain is all numbers.
The domain is the input.
The domain is the output.
Answer:
The domain is the input.
Step-by-step explanation:
The domain is the input, the independent value—it's what goes into a function. The range or y-value is the output and the dependent value is the outcome.
Answer:
I hope this helps.
Step-by-step explanation:
Solve the following system of equations:
Y=x^2+4x+4
Y=x+2
What is the value of y?
Answer:
y=4, y=2
Step-by-step explanation:
22. Determine the value of c so that the line
segment with endpoints B(2, 2) and C(9,6)
BC
is parallel to the line segment with endpoints
D(c, -7) and E(5, -3).
help is appreciated !!!
Answer:
If the lines BC and DE are parallel, the value of c is c=-2
Step-by-step explanation:
We are given line segment BC with end points B(2, 2) and C(9,6) and line segment DE with endpoints D(c, -7) and E(5, -3).
Using slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] we can find point c
When 2 lines are parallel there slope is same.
So, Slope of line BC =Slope of Line DE
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have:
[tex]x_1=2, y_1=2, x_2=9, y_2=6 \ for \ line \ BC \ and \\\x_1=c, y_1=-7, x_2=5, y_2=-3 \ for \ line \ DE \[/tex]
Putting values and finding c
[tex]\frac{6-2}{9-2}=\frac{-3-(-7)}{5-c}\\ \frac{4}{7}=\frac{-3+7}{5-c} \\ \frac{4}{7}=\frac{4}{5-c} \\Cross \ multiply:\\4(5-c)=4*7\\20-4c=28\\-4c=28-20\\-4c=8\\c=\frac{8}{-4}\\c=-2[/tex]
So, If the lines BC and DE are parallel, the value of c is c=-2
why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as to why it equals 1
Answer:
Sin 90 = 1/1 = 1
Use trigonometry formula and a triangle with lengths of 1
Determine which of the values is a solution of 14>22−2z. My options are 2, 5, 7, 3, -4, 0
Answer:
I think -4
Step-by-step explanation:
hurry points first 2 and hurry plz have a good day /night
Which set of ordered pairs represents a function?
{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}
{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}
Answer:
2nd choice
Step-by-step explanation:
1) I can see that the x-input a repeated but has a different y-output.
2) None of the x-inputs repeated, y-outputs repeated, a function is when two if the same x-inputs have the same y-output, so y-outputs can be repeated with different x-inputs but the reverse if false.
3) And again there and two -2 input with different out puts so its not a function.
4) -3 repeated with different outputs so its not a function
hope this helps you :)
If 3x - 6 = 21, what is the value of x - 2 ?
The value of x - 2 in the equation 3x - 6 = 21 is 7.
What is an equation ?An equation is comparing two equal quantities in different form.Equations can be of many types like algebraic equation, logarithmic equation,trigonometric equations, exponential equations.We can also graph this equations in 2 dimensional and 3 dimensional plane.
According to the question given an equation 3x - 6 = 21 first we have to solve for x or find the value of x.
∴ 3x - 6 = 21.
3x = 21 + 6.
3x = 27.
x = 27/3.
x = 9.
So, the value of (x-2) will be (9-2) = 7.
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In standard form 0.0325 is written as?
Answer:
In standard form 0.0325 is written as 0.0325
In scientific notation it is written as:
[tex]3.25^{ - 2} [/tex]
The standard form of 0.0325 is written as
[tex] = 3.25 \times {10}^{ - 2} [/tex]
Given:
0.0325
Writing in standard form means writing in scientific notation (power of be 10)
When moving decimal point to the right, it is raised to a negative power of the number of times the decimal is moved.When moving decimal point to the left, it is raised to a positive power of the number of times the decimal is moved.0.0325
The decimal point will be moved 2 times before it gets between the be significant value of 3 and 2
Therefore,
0.0325
[tex] = 3.25 \times {10}^{ - 2} [/tex]
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Which of the following is a composite number between 20 and 40?
A.
37
B.
36
C.
31
D.
29
Answer:
B, 36
Because, a composite number has factors
The others are prime
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Find the zeros for the given equation hurry!!!!
Answer:
x = 3 and -1
Step-by-step explanation:
5(x²-2x-3)
(x-3)(x+1)
Answer:
Zero's are: x= 3, -1
Step-by-step explanation:
With factoring, and determining the middle ground, finding the zeroes will come back to this result.
b). Kirchoff has more money than Maxi. If Kirchoff gave Maxi $20, they would have the
same amount. While it Maxi gave Kirchoff $22, Kirchoff would then have twice as much as
Maxi. How much does each one actually have?
Answer:
k = 146
m= 106
Kirchoff has $146
Maxi has $106
Step-by-step explanation:
For the purpose of the equations, I’ll call Kirchoff and Maxi a and b respectively.
a - 20 = b + 20 (equation 1)
2(b - 22) = a + 22 (equation 2)
We can juggle those around for
a = b +40 (equation 1r (re-arranged)) and
2b - 44 = a + 22 so 2b - 66 = a (equation 2r (rearranged))
The equations are now:
a = b + 40 (new equation 1) and
a = 2b - 66 (new equation 2)
Substitute from new equation 1 to new equation 2:
b + 40 = 2b - 66 so 40 = b - 66 making b = 106.
Plug b = 106 into new equations 1 and 2 for:
a = 106 + 40 (new equation 1) and
a = 212 - 66 (new equation 2)
This gives a = 146 and b = 106
TEST: There’s a gap of $40, so giving $20 from a to b makes them equal.
SECOND TEST: Subtracting $22 from b makes it $84 and giving that sum to a makes it $168, twice as much. The tests work.
Kirchoff has $146 and Maxi has $106.
The probability of event A is 0.2 and probability of event B is 0.3. Given that A and B are independent, then the probability of A and B (A intersection B) is: Choose one • 10 points 5% 6% 9% 13%
Answer:
[tex]P(A\ n\ B) = 6\%[/tex]
Step-by-step explanation:
Given
[tex]P(A) = 0.2[/tex]
[tex]P(B) = 0.3[/tex]
Required
Determine [tex]P(A\ n\ B)[/tex]
Since both events are independent;
[tex]P(A\ n\ B) = P(A) * P(B)[/tex]
[tex]P(A\ n\ B) = 0.2 * 0.3[/tex]
[tex]P(A\ n\ B) = 0.06[/tex]
Convert to %
[tex]P(A\ n\ B) = 0.06 * 100\%[/tex]
[tex]P(A\ n\ B) = 6\%[/tex]
By using Euler's formula, find the number of edges of a polyhedron with 16 faces and 20 vertices
Answer:
34 edges
Step-by-step explanation:
Euler's formula for polyhedron states
F + V - E = 2
where F is number of faces, V, number of vertices, E number of edges
Here F = 16, V = 20, thus
16 + 20 - E = 2, that is
36 - E = 2 ( subtract 36 from both sides )
- E = - 34 ( multiply both sides by - 1 )
E = 34
It is possible to get 2 solutions when the system of equations is: (check all that apply)
A system of 2 linear equations in 2 variables
A system of 3 linear equations in 3 variables
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation
Answer:
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation
Step-by-step explanation:
Let us verify our answer
A system of the equation of a circle and a linear equation
Let an equation of a circle as [tex]x^2+ y^2 = 1[/tex] ..........(1)
Let a liner equation Y = x ............(2)
substitute (2) in (1)
[tex]x^2 + x^2 = 1\\2x^2 = 1\\[/tex]
[tex]x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex] so Y = [tex]+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]
so the two solution are ( [tex](\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }[/tex])
A system of the equation of a parabola and a linear equation
Let equation of Parabola be [tex]y^2 = x[/tex]
and linear equation y = x
substitute
[tex]x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1[/tex]
Y = 0,1
so the two solutions will be (0,0) and (1,1)
Albert wants to buy two pomegranates and some peaches • The price of one pomegranate is $1.59. • The price of peaches is $1.19 per pound. Albert wants to spend no more than $10.00. How many whole pounds of peaches can Albert buy if he wants to spend less than $10.00? 4 5 6 7
Answer: 5
Step-by-step explanation:
Answer: 5
Step-by-step explanation: hope this helps