From a group of 12 students, we want to select a random sample of 4 students to serve on a university committee. How many different random samples of 4 students can be selected?
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Answer:
Step-by-step explanation:
3
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1. A cab driver charges a flat rate of $7 for the first mile driven and $2 for every mile after that. If thecost of the cab ride is modeled by the expression 7 + 2(x - 1). What does (x - 1) represent?
98 points to answerFor the parallelogram, find the value of the variables. Show your work.
If x is not equal to zero, what is the value of 4(3x)^2/(2x)^2
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the nearest dollar, would be in the account after 8 years?
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Final answer:
Abigail can find out how much money she will have after 8 years continuously compounding interest by using the formula A = P*e^(rt), where A is the final amount, P is the principal ($29,000), r is the interest rate (0.021), and t is time in years (8). Once the values are inserted into the formula, it can be solved to find the total amount.
Explanation:
The problem that Abigail is facing can be solved using the continuous compound interest formula which is A = P*e^(rt). Here, A stands for the amount of money in the account after t years, P is the principal amount (the initial amount of money), r represents the annual interest rate (expressed as a decimal), and t is time in years. In this context:
- P = $29,000
- r = 2.1 /100 = 0.021
- t = 8 years
Plug in these values into the formula:
A = 29000 * e^(0.021 * 8)
When calculated this would give the total amount to the nearest dollar.
Learn more about Continuous compound interest here:
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Answer:
26 units
Step-by-step explanation:
The distance is found by subtracting the numbers
13- -13
13 + 13
26
We know that -13 to 0 is 13 units
0 to 13 is 13 units
13 + 13 is 26 units
26 that is the answer to your question
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I hope this helps!
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This question is incomplete, the complete question is;
find the critical points and classify them as local maxima, local minima, saddle points, or none of these.
f(x,y) = (x + y)(xy + 1)
Answer:
(x,y) = (-1, 1), (1, -1) area critical points
f(xx) =2y, fyy =2x,f(xy) =2x + 2y, D = f(xx)fyy - f(xy²)
at (-1, 1)
f(xx) = 2 ,fyy =-2,f(xy) = 0, D = -4 < 0 saddle point
at (1, -1)
f(xx) = -2, fyy =2,f(xy) =0, D = -4 < 0 saddle point
Step-by-step explanation:
Given that;
f(x,y) = (x + y)(xy + 1)
f(x,y) =x²y + xy² + x + y
for critical points fx =0 ,fy =0
fx = 2xy + y² + 1 = 0, fy = x² + 2xy + 1 = 0
2xy + y² + 1 = 0, x²+ 2xy + 1 = 0
2xy + y² + 1 - x² - 2xy - 1 = 0
x² = y²
=> x = y, x = -y
2xy + y² + 1 = 0, x = y
2yy + y² + 1 = 0
3y² = -1 , no solution
2xy + y² + 1 = 0, x = -y
-2yy + y² + 1 = 0
=> -y2 + 1 = 0
=> y = -1, y = 1
y = -1 => x = 1, y = 1 => x = -1
(x,y) = (-1, 1), (1, -1) area critical points
f(xx) =2y, fyy =2x,f(xy) =2x + 2y, D = f(xx)fyy - f(xy²)
at (-1, 1)
f(xx) = 2 ,fyy =-2,f(xy) = 0, D = -4 < 0 saddle point
at (1, -1)
f(xx) = -2, fyy =2,f(xy) =0, D = -4 < 0 saddle point
Answers
Answer:
The first four terms of the sequence are: {-10,-23,-62,-179}
Step-by-step explanation:
Given recursive formula is:
First term = a1 = -10
The first term is already known. In order to find the next terms, we will put n=2,3,4 in the recursive formula.
Putting n=2
Putting n=3
Putting n=4
Hence,
The first four terms of the sequence are: {-10,-23,-62,-179}