A contractor builds homes of 11 dilforent models and presently has 4 lots to build on. In how many different ways can he arrange homes on these los? Assume different models will be built. The answer is ___ arrangements
Answers
The contractor can arrange homes on the lots in 7,920 different ways.
There are 11 different models and 4 lots, the contractor can choose any of the 11 models for the first lot, then any of the remaining 10 models for the second lot, and so on.
The number of arrangements can be calculated using the formula for permutations:
P(n, r) = n! / (n - r)!
Where:
n is the total number of objects (in this case, the number of models)
r is the number of objects to be chosen (in this case, the number of lots)
Using the values from the problem, we have:
n = 11 (11 different models)
r = 4 (4 lots)
Let's calculate the number of arrangements:
P(11, 4) = 11! / (11 - 4)!
= 11! / 7!
= (11×10× 9 × 8) / (4 × 3 × 2 × 1)
= 11 × 10 × 9 × 8 / 4 × 3 × 2 × 1
= 7920
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Related Questions
Consider the monthly payment formula M = (Pr(1+r)^n/(1+r)^n-1 What is the name of the formula you get if you solve for P?
What about if you solve for n? What special function do you need to use when solving for n?
I will give brainliest if correct.
Answers
In the given formula we have variables:
M - monthly payment,P - principal,r - interest rate,n - number of payments.If we have to solve it for P then it should be called 'Principal' or 'Loan amount'.
If we have to solve it for n then it should be called 'Number of payments' or 'Number of installments'.
Since n is the power of a number we need logarithm to solve it for n.
Answer:
"Principal (loan amount)"
"Term of the loan (in months)" or "Number of monthly payments"
Logarithms
Step-by-step explanation:
Monthly Payment Formula
\(M=\dfrac{Pr\left(1+r\right)^n}{\left(1+r\right)^n-1}\)
where:
M = monthly payment.P = principal loan amount.r = interest rate per month (in decimal form).n = term of the loan (in months).If we solve for P, the name of the formula is "Principal (loan amount)".
If we solve for n, the name of the formula is "Term of the loan (in months)" or "Number of monthly payments".
When solving for n, we need to use logarithms:
\(\boxed{\begin{aligned}M&=\frac{Pr\left(1+r\right)^n}{\left(1+r\right)^n-1}\\\\M(\left(1+r\right)^n-1)&=Pr\left(1+r\right)^n\\\\\frac{\left(1+r\right)^n-1}{\left(1+r\right)^n}&=\frac{Pr}{M}\\\\1-\frac{1}{\left(r+1\right)^n}&=\frac{Pr}{M}\\\\\frac{1}{\left(r+1\right)^n}&=1-\frac{Pr}{M}\\\\\left(r+1\right)^{-n}&=1-\frac{Pr}{M}\\\\\ln \left(r+1\right)^{-n}&=\ln \left(1-\frac{Pr}{M}\right)\\\\-n\ln(r+1)&=\ln\left(1-\frac{Pr}{M}\right)\\\\n&=\frac{-\ln\left(1-\frac{Pr}{M}\right)}{\ln(r+1)}\end{aligned}}\)
A recycling bin is in the shape of a right rectangular prism. The bin is 12 meters long, 512meters wide, and 612 meters tall.
What is the volume of the recycling bin?
Answers
Answer:
3,760,128
Step-by-step explanation:
v = whl. process for volume of the bin
Evaluate the expression [8(4)-4^2]+7(4)
Answers
Answer:
44
Step-by-step explanation:
big brain
Jackie had $50.00. She bought 2 skirts for $18.95 each, including tax. She also bought lunch for $5.50. How much money does Jackie have left?
Answers
Answer:
She has $6.60
Step-by-step explanation:
2(18.95) + 5.50 = 43.4
50 - 43.4 = $6.60
Answer:
She has $6.60 left.
Step-by-step explanation:
$18.95x2 is 37.90. $37.90+ $5.50 is $43.40. $50.00- $43.40 is $6.60.
What is the value of x
Answers
Answer:
x=14√3 and y=28
Step-by-step explanation:
This is a 30, 60, 90 triangle. We have to multiply 14 by 2 to get the hypotenuse. In this case, the hypotenuse is y. 14x2 is equal to 28. Therefore, y=18. The long side is equal to the small side times the √3. Therefore, x is equal to 14√3. Therefore, x=14√3 and y=28.
If this has helped you please mark as brainliest
Pls explain how to solve this elimination problem!!
Answers
What is the formula for calculating angle?
Answers
Angles Formulas at the center of a circle can be expressed as:
Central angle, θ = (Arc length × 360º)/(2πr) degrees
Sum of Interior angles=180°(n-2)
The angles formulas are used to find the measures of the angles. An angle is formed by two intersecting rays, called the arms of the angle, sharing a common endpoint.
The corner point of the angle is known as the vertex of the angle. The angle is defined as the measure of the turn between the two lines.
There are various types of formulas for finding an angle; some of them are the central angle formula, double-angle formula, etc...
We use the central angle formula to determine the angle of a segment made in a circle.
We use the sum of the interior angles formula to determine the missing angle in a polygon.
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Is there a math Theorem for a right triangle
Answers
Answer:
the pythagoren therom
Step-by-step explanation:
\(a{2} + b^{2} = c^{2}\)
Please help me please help me please help me please help me
Answers
Answer:10%= 310
5%= 155
15%=465
Step-by-step explanation: Solution for what is 15% of 3100
3100/x=100/15
(3100/x)*x=(100/15)*x - we multiply both sides of the equation by x
3100=6.66666666667*x - we divide both sides of the equation by (6.66666666667) to get x
3100/6.66666666667=x
465=x
x=465
Taxi A charges $3.00 plus $0.30 for every
mile.
Taxi B charges $3.25 plus $0.20 for every mile.
How much money, in dollars, does Kelly save by using Taxi B instead of Taxi A?
Answers
8 over 12 in the simplist form
Answers
2/3
divide them by the largest number both are divisible by until they cant be divided anymore
Answer:
2/3
Step-by-step explanation:
8/12 = 2/3
divide numerator and denominator both by GCF 4
A car travels 22 km due south and then 28 km in a direction 60° east of south. Find the Direction of the car's resultant vector. PLEASE HELP
Answers
please help! Brainliest answer! thank you!1
Answers
Answer:
I think it's A
Step-by-step explanation:
because none of the others appear to be correct
Answer:
A. AB = CB
Step-by-step explanation:
If you compare all the lines shown, you can see that options B,C and D are all incorrect, therefore, the last remaining option, option A, is correct.
A. AB = CB
Hope this helps :)
The pair of triangles below have two corresponding parts marked as congruent. what additional information is needed for a sas congruence correspondence?
Answers
The missing information that we need to establish a side angle side congruence is that ∠C≅∠J.
The congruence of a triangle can be established on three basis;
Side angle side
Angle angle side
Side side side
Now we know from the figure that the sides CL = JK.
It then follows that the missing information that we need to establish a side angle side congruence is that ∠C≅∠J.
Hence, The missing information that we need to establish a side angle side congruence is that ∠C≅∠J.
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Emily bought some ice cream cones for noche buena which costs 24 she paid M and got back 6 of change. Find M
Answers
Emily paid M = 30 for the ice cream cones.
To find the amount Emily paid (M), we can set up an equation using the given information.
1. The cost of the ice cream cones is 24.
2. She got back 6 in change.
Using these facts, we can write the equation:
M - 24 = 6
Now, let's solve for M:
Step 1: Add 24 to both sides of the equation.
M - 24 + 24 = 6 + 24
Step 2: Simplify.
M = 30.
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A restaurant has a 15% mandatory tip rate.
• Complete the ratio table shown. Show your work.
Pre-Tax Bill ($): 10_60_
Tip($):_12_15
Using the table, how can you find the total tip paid on $70
Answers
Answer:
I sadly cannot give you an explanation how but I can give you the answers which are....
10 80 60 10
1.50 12 9 15
10.5 is the answer to your next question.
Hope I helped! :)
The required total tip paid on $70 is $10.50.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
To complete the ratio table, we need to calculate the tip for each pre-tax bill amount.
Let x be the pre-tax bill amount. Then:
Tip = 0.15x
To find the tip for each pre-tax bill amount in the ratio table, we can substitute the values of x into the formula. For example, for a pre-tax bill of $10:
Tip = 0.15 * 10 = $1.50
Using the same method, we can fill out the ratio table:
Pre-Tax Bill ($) Tip ($)
10 1.50
60 9.00
To find the total tip paid on $70, we need to calculate 15% of $70:
Tip = 0.15 * 70 = $10.50
Therefore, the total tip paid on $70 is $10.50.
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Find the simple interest to the nearest cent (round to two decimal places as needed).
$1,295 at 9.25% for 4 years
Answers
Answer:
$479.15
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 9.25%/100 = 0.0925 per year,
then, solving our equation
I = 1295 × 0.0925 × 4 = 479.15
I = $ 479.15
The simple interest accumulated
on a principal of $ 1,295.00
at a rate of 9.25% per year
for 4 years is $ 479.15.
Which of the following is the correct sequence of project phases? O A. Concept - Planning - Definition O B. Definition - Planning - Performance O C. Postcompletion - Performance - Planning OD. Performance - Concept - Planning
Answers
The correct sequence of project phases is Definition - Planning - Performance. The correct answer is B.
This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.
Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.
Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.
Therefore the sequence of project phase is Definition - Planning - Performance The correct answer is B.
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Kate's Pattern
Andy's Pattern
Kate and Andy made the following
patterns.
X
у
Х
у
1
2
1
4
Which statement is true?
2
4
2
8
3
6
3
12
4
8
4
16
) Kate's y-values increase at 3 times the rate of Andy's y-values.
® Kate's y-values increase at 2 times the rate of Andy's y-values.
© Andy's y-values increase at 2 times the rate of date's y-values.
D Andy's y-values increase at 3 times the rate of Kate's y-values.
Answers
Answer:
Answer is C
Andy's Y value increases 2 times more
Answer:
B)
Step-by-step explanation:
If you look at Kate's y column, you will see that her pattern goes by 2,4,6 and 8.
It increases by 2.
At the same rate, Andy's increases by 4.
Therefore, B would be the correct answer.
PLS HELP I HAVE LIMITED TIME PLEASE GUYS
Answers
X intercept is when y = 0
See the picture below
X intercept is (9/4, 0)
Y intercept is (0, -18)
What is the key difference betweenstudent submitted image, transcription available belowandstudent submitted image, transcription available belowWhat assumption(s) do you need to show thatstudent submitted image, transcription available belowis unbiased? What does this mean, practically?
Answers
The key difference between two student submissions is not specified in the question. To demonstrate that a student-submitted image or transcription is unbiased, certain assumptions need to be met. Understanding the practical implications of unbiasedness is crucial.
The question does not provide information about the specific differences between the student-submitted image and transcription. However, to establish that a student submission is unbiased, several assumptions need to be satisfied. These assumptions typically include random sampling, the absence of systematic errors or biases in the data collection process, and the independence of observations. If these assumptions are met, it suggests that the student submission accurately represents the underlying population or phenomenon being studied.
Practically, unbiasedness means that the student-submitted image or transcription provides an accurate and representative depiction of the information or data being examined. It indicates that the student's work is not influenced by any systematic errors or biases that could skew the results or distort the information. This is important in research or data analysis to ensure the validity and reliability of the findings and conclusions drawn from the student's submission.
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Help me please it says that I need help !!
Answers
Answer:
A, D
Step-by-step explanation:
The independent variable is plotted on the x-axis. It is labeled "number of cans". The dependent variable is plotted on the y-axis. It is labeled "number of tennis balls". Then each ordered pair is ...
(independent variable, dependent variable) = (cans, balls)
Then the point (2, 6) corresponds to (2 cans, 6 balls).
The applicable descriptive statements are ...
A. 2 cans contain 6 tennis balls
D. There are 6 tennis balls in 2 cans
what is the equation for point (1,-2) PLEASE HELP MEEEE
Answers
Hi I have a question for y’all today I am just leaving work you have not heard from me you have to do a good
the admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. on a certain day, 351 people entered the park, and the admission fees collected totaled 1014 dollars. how many children and how many adults were admitted?
Answers
There were 682 children's and 332 adults were admitted when the entrance charge to an park is $4 for adults and $1.50 for children.
Given that,
The entrance charge to an amusement park is $4 for adults and $1.50 for children. 351 persons visited the park on one particular day, and 1014 dollars in entrance fees were collected.
We have to find how many people and kids were allowed inside.
We know that,
We get equations as,
1.5x+4y=351 ----->equation(1)
The other equation is
x+y=1014 ----->equation(2)
Take the equation(2)
x+y=1014
y=1014-x
Substitute y=1014-x in equation(1)
1.5x+4y=351
1.5x+4(1014-x)=351
1.5x+2056-4x=351
1.5x-4x=351-2056
-2.5x=-1705
2.5x=1705
x=1705/2.5
x=682
Substitute x=682 in equation(2)
y=1014-x
y=1014-682
y=332
Therefore, There were 682 children's and 332 adults were admitted when the entrance charge to an amusement park is $4 for adults and $1.50 for children.
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Find the area of the figure. A composite figure made of a triangle, a square, and a semicircle. The diameter and base measure of the circle and triangle respectively is 6 feet. The triangle has a height of 3 feet. The square has sides measuring 2 feet. area: ft²
Answers
The total area of the figure in this problem is given as follows:
41.3 ft².
How to obtain the area of the composite figure?The area of the composite figure is given by the sum of the areas of all the parts that compose the figure.
The figure in this problem is composed as follows:
Triangle of base 6 feet and height 3 feet.Semicircle of radius 3 feet.Square of side length 2 feet.Then the area of the triangle is given as follows:
At = 0.5 x 6 x 3 = 9 ft².
The area of the semicircle is given as follows:
Ac = π x 3² = 28.3 ft².
The area of the square is given as follows:
As = 2² = 4 ft².
Then the total area of the figure is given as follows:
9 + 28.3 + 4 = 41.3 ft².
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Been almost an hour in a half since this question hasn’t been answered plzz !!!help as soon as possible
Answers
Answer:
Step-by-step explanation:
graph b and a is negative because it does not start at point 0 and has a straight line that passes through the origin
I need help. What does n equal.
\(5n^{2}=7n-2\)
Answers
Answer:
\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)
Step-by-step explanation:
\(\rightarrow 5n^2 = 7n -2\)
\(\rightarrow 5n^2 - 7n +2=0\)
\(\rightarrow 5n^2 - 5n -2n+2=0\)
\(\rightarrow 5n(n - 1) -2(n-1)=0\)
\(\rightarrow (5n-2)(n-1)=0\)
\(\rightarrow 5n-2= 0,\: n-1=0\)
\(\rightarrow 5n= 2,\: n=1\)
\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)
Step-by-step explanation:
\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)
Sale
50% OFF!
What is the sale price of a gold necklace originally priced at $40?
Answers
Answer:
$20
Step-by-step explanation:
50 percent means half off so it would be $20
determine whether the fractions 39.68/60.14and 6.4/9.7 are equivalent
write yes or no
Answers
Answer:
yes
Step-by-step explanation:
If you divide 39.68 and 60.14 you get .6597938144 and if you divide 6.4 and 9.7 you get the same number.
Answer: The correct answer is: "yes" .
__________
Step-by-step explanation:
__________
First:
Consider the fraction:
__________
" \(\frac{(39.68)}{(60.14)}\) " ; Using a calculator: " \(\frac{(39.68)}{(60.14)}\) = \((39.68\) ÷ \(60.14)\) \(= 0.65979381443\) " .
__________
Second:
Consider the fraction:
__________
" \(\frac{(6.4)}{(9.7)}\) " ; Using a calculator: " \(\frac{(6.4)}{(9.7)}\) \(= (6.4\) ÷ \(9.7) = 0.65979381443\) " .
__________
→ " \(65979381443\) ≟ \(65979381443\) " ? Yes!
→ " \(65979381443\) = \(65979381443\) " !
____________________
Thus:
__________
→ " \(\frac{(39.68)}{(60.14)}\) = \(\frac{(6.4)}{(9.7)}\) " ; Yes; these fractions are equivalent.
→ The correct answer is: "yes" .
__________
Hope this is helpful to you!
Best wishes!
__________
(-2x+1)-(-3x(2squared)+x)=
Answers
The expression (-2x + 1) - (- 3x² + x) in the simplified form will be 3x² - 3x + 1.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (-2x + 1) - (- 3x² + x)
Simplify the expression, then we have
⇒ (-2x + 1) - (- 3x² + x)
⇒ - 2x + 1 + 3x² - x)
⇒ 3x² - 3x + 1
The expression (-2x + 1) - (- 3x² + x) in the simplified form will be 3x² - 3x + 1.
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