Damon borrowed $1,950 for two years. The total amount he repaid was
$2,415.80. How much interest did he pay for the loan?
a. $430.10
b. $801.90
c. $465.80
d. $390

The maximum number of interior angles of a convex n-gon that can have measure 131° is equals to the seven.

A polygon is said to be convex n-gon when no line segments between the points, goes inside and all the vertices are pointed outside away from the center. The interior angles of a convex polygon are less than 180°. Sum of interior angles of n sided polygon

= 180(n- 2) degrees

We have, Alex assume that one of interior angle of convex n-gon is 131° . Let total maximum number of interior angles of a convex n-gon or polygon that can have measure 131° be "x".

Total measures of all remaining interior angles, (n - x) of this polygon

= 180(n- 2) - 131x

But for a convex n-gon, interior angles of a convex polygon are less than 180°. So,

180(n- 2) - 131x < (n - x) 180

Now, solve this Inequality,

=> 180n - 360 - 131x < 180n - 180x

=> -360 + 180x - 131x < - 180x + 180x

=> - 360 + 49x < 0

=> 49x < 360

=> x < 360/49

=> x < 7.34 ~ 7

So, the required value of x is 7 .

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Answer: 28

Step-by-step explanation: i got the same test

(a) The natural brute-force algorithm for counting inversions in an array is to compare each pair of elements and count the inversions.

(b) The complexity of the natural brute-force algorithm is O(n²), where n is the size of the array.

(c) One possible algorithm to count inversions in O(n log n) time is the merge sort algorithm with some additional bookkeeping.

The steps of the algorithm are as follows:

1. Divide the array into two halves.

2. Recursively count the inversions in each half.

3. Merge the two sorted halves while counting the inversions.

4. Return the total count of inversions.

Here's the implementation of the algorithm:

def count_inversions(arr):

   if len(arr) <= 1:

       return arr, 0

   mid = len(arr) // 2

   left, inv_left = count_inversions(arr[:mid])

   right, inv_right = count_inversions(arr[mid:])

   merged, inv_merge = merge_and_count(left, right)

   total_inversions = inv_left + inv_right + inv_merge

   return merged, total_inversions

def merge_and_count(left, right):

   merged = []

   inversions = 0

   i = 0

   j = 0

   while i < len(left) and j < len(right):

       if left[i] <= right[j]:

           merged.append(left[i])

           i += 1

       else:

           merged.append(right[j])

           j += 1

           inversions += len(left) - i

   merged += left[i:]

   merged += right[j:]

   return merged, inversions

# Usage example

arr = [30000, 80000, 20000, 40000, 10000]

sorted_arr, inversions = count_inversions(arr)

print("Inversions:", inversions)

The above algorithm has a time complexity of O(n log n) because it performs a divide-and-conquer approach using merge sort, and the merging step takes O(n) time while splitting the array recursively takes O(log n) time.

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The inequality 54x/64 ≥ 49x/59 simplifies to x ≥ 0. Thus, the solution for x is greater than or equal to zero.

To solve the inequality 54x/64 ≥ 49x/59, we can begin by cross-multiplying:

(54x)(59) ≥ (49x)(64)

3186x ≥ 3136x

Next, we can subtract 3136x from both sides:

3186x - 3136x ≥ 0

50x ≥ 0

Finally, we divide both sides by 50:

x ≥ 0/50

x ≥ 0

Therefore, the solution to the inequality is x ≥ 0.

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Answer:

A

Step-by-step explanation:

Answer:

128 degrees

Step-by-step explanation:

38+90=128

The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.

The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.

The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.

In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.

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48.6-1.8=46.8

46.8/3=15.6

$15.60 per CD :)

Answer:

y₀.₉₅ = 3659

Step-by-step explanation:

P( no accident ) = 0.8

P( one accident ) = 0

deductible = 500

mean = 3000

Determine the 95th percentile of the insurance company payout

Assuming : y =company payout , x =amount of loss incurred due to accident

Then :

P( x < 500 ) = 0.2 ( 1 - e^-500/3000)

                   = 0.2 ( 1 - e^-1/6 )

95th percentile =

= P( y < y₀.₉₅  ) 0.95

  P( y = 0 ) = 0.8 + 0.2 ( 1 - e^-1/6 ) = 0.8307

attached below is the remainder of the solution

Step-by-step explanation:

optically, they are congruent.

so, it must be a reflection followed by a translation.

there is no 90° rotation. and the result cannot be created only by a reflection.

Answer:

20cm

Step-by-step explanation:

1. First find the area of the triangle

a = 1/2 × base × h

a = 1/2 × 10 × 11

a = 55cm²

2. Then times the area of the triangle by 8 to find the area of the rectangle

55 × 8 = 440cm²

3. Find the width of the rectangle:

The area of a rectangle is = l × w

22 × width = 440cm²

width = 440 ÷ 22

width = 20cm

Answer: Width = 20

Step-by-step explanation:

Give the area of triangle = x

So the area of rectangle = 8x

the area of triangle = (11 × 10) ÷ 2 = 55

So the area of rectangle = 8(55) = 440

The area of rectangle = W × L

So 440 = W × 22

W = 20

please give me a brainliest answer

The phase of inferential statistics which is sometimes considered to be the most crucial because errors in this phase are the most difficult to correct is "data gathering".

Inferential statistics are frequently employed to compare treatment group differences.

Some characteristics of inferential statistics are-

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Answer:

(-4, -1)

Step-by-step explanation:

The solution to the system of equations on a graph is the point in which they intersect. Therefore, the solution is (-4, -1).

Using implicit differentiation, it is found that the volume is expanding at a rate of 17 cubic inches per second.

The volume of an sphere of radius r is given by:

\(V = \frac{4\pi r^3}{3}\)

Applying implicit differentiation, the rate of change in the volume is given as follows:

\(\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}\)

In this problem, we have that the parameters are given as follows:

\(r = 2.6, \frac{dr}{dt} = 0.2\)

Considering that the measures are given in inches and the time is in seconds, the rate of change of the volume, in cubic inches per second, is given by:

\(\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}\)

\(\frac{dV}{dt} = 4\pi \times 2.6^2 \times 0.2 = 17\)

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Answer:

Domain: x \(\leq\) 8

Step-by-step explanation:

All real numbers minors than or equal to 8

Hope this helps

The domain of a function is where the function can exist

For the function in part (a), it can only exist where the things inside the square root aren't negative.

The things inside the square root become negative when x is smaller than 8.

Thus the function's domain is [8,∞).

The reason why I put the bracket on the left side is that the domain contains 8.

Hope that helps!

This plot will provide a visual representation of how the purchased cost of the shell-and-tube heat exchanger changes over the specified range of surface areas.

To plot the purchased cost of the shell-and-tube heat exchanger as a function of the surface area, we need to consider the variation in the purchased cost capacity exponent.

The purchased cost of the heat exchanger can be expressed as:

C = C0 * (A)^b

where C is the purchased cost, C0 is the cost constant, A is the surface area, and b is the purchased cost capacity exponent.

Given that the purchased cost capacity exponent is not constant over the range of surface area requested (10 to 200 m²), we need to consider different values of b for different ranges of surface area.

Let's assume the following ranges and their corresponding purchased cost capacity exponents:

For 10 m² ≤ A ≤ 50 m², let b = 0.8

For 50 m² < A ≤ 100 m², let b = 0.7

For 100 m² < A ≤ 150 m², let b = 0.6

For 150 m² < A ≤ 200 m², let b = 0.5

Now, we can calculate the purchased cost for different values of surface area using the corresponding purchased cost capacity exponents.

For each range, substitute the given values of C0 and b into the cost equation to find the purchased cost for the corresponding surface area.

Once we have calculated the purchased costs for different surface areas, we can plot them on a graph with surface area (A) on the x-axis and purchased cost (C) on the y-axis.

The graph will show the variation in purchased cost as a function of surface area, considering the different purchased cost capacity exponents for different ranges.

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Answer:

A

Step-by-step explanation:

We are given that:

\(\tan(\theta)=1.3\)

And we want to find:

\(\cot(90^\circ -\theta)\)

Remember that tangent and cotangent are co-functions. In other words, they follow the cofunction identities:

\(\tan(\theta)=\cot(90^\circ-\theta)\text{ and } \cot(90^\circ-\theta)=\tan(\theta)\)

Therefore, since tan(θ) = 1.3 and cot(90° - θ) = tan(θ), then cot(90° - θ) must also be 1.3.

Our answer is A.

Answer:

b

Step-by-step explanation:

Answer:

S.I=$3375

Step-by-step explanation:

S.I=PRT/100

S.I=750×15×3/100

S.I=33750/10

S.I=$3375

Answer:

1%

Step-by-step explanation:

Divide the defective amount by the number of items and multiply into 100, to get the percentage as follows:

5/500 × 100 = 1%

Answer:

9 months

Step-by-step explanation:

its will be 9 months because 9*5 is equal to 45.

Answer:

5 hours

Step-by-step explanation:

Let's start by writing two ratios...

660:12

275:x

We can simplify the first ratio by dividing both numbers by 12...

55:1

275:x

Since 55 multiplied by 5 is 275 we multiply 1 by 5 to get...

x=5 hours

The price for the monthly fee will be;

⇒ x = $9.99  

And, The price per movie rental will be;

⇒ y = $2.99

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Yolanda is charged $21.95 for her monthly fee and 4 movie rentals.

And, Jeffrey is charged $30.92 for the same monthly fee and 7 movie rentals.

Now,

Let the price for the monthly fee = x

And, The price for the movie rental = y

Hence, We can formulate the expression for Yolanda;

⇒ x + 4y = $21.95

And,  We can formulate the expression for Jeffrey;

⇒ x + 7y = $30.92

Subtract equation (ii) from (i), we get;

⇒ 7y - 4y = $30.92 - $21.95

⇒ 3y = $8.97

⇒ y = $2.99

And, x + 4y = $21.95

x + 4 × 2.99 = 21.95

x + $11.96 = $21.95

x = $21.95 - $11.96

x = $9.99

Thus, The price for the monthly fee = $9.99  

And, The price per movie rental = $2.99

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Step 1: Find the cost of 1 pie

1 pie = 4 cups of fruit + 1 pie crust

1 pie = 4(0.75) + 1(2.50)

1 pie = 3 + 2.50

1 pie = 5.50

Step 2: Find the amount of money a baker makes by selling 1 pie

1 pie cost = 5.50

1 pie revenue = 10.25

1 pie profit = 4.75

Step 3: Find the amount of money a baker makes by selling 10 pies

1 pie profit = 4.75

10 pies profit = 47.5

Answer: $47.50

Hope this helps!

The value of  tan(45°+Θ) after using trigonometric ratio is  

1+tanΘ/ 1-tanΘ.

What is trigonometric ratios?

   There are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.

Here the given,

=> tan(45°+Θ)

Now using formula ,

=> tan(a+b) = \(\frac{tan a+tan b}{1-tan a*tanb}\)

=> tan(45°+Θ)= (tan 45°+tanΘ)/(1-tan45°*tanΘ)

We know that tan 45°=1 then ,

=> tan (45°+Θ)= 1+tanΘ/ 1-tanΘ

Hence the formula for  tan (45°+Θ) is  1+tanΘ/ 1-tanΘ.

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Step-by-step explanation:

we multiply both sides by the denominator on the right to eliminate fraction, so we have..

p*(n+a)= (n²+a/n+a)*n+a

so we have

p(n+a)= n²+a

so opening the bracket on the left hand side we have,

p*n+p*a

pn+pa

so,

pn+pa= n²+a

so collecting like terms we have,

pn-n²= a-pa

so removing a from the equation on the right hand side we have,

pn-n²=a(1-p)

dividing both sides by the equation in the bracket on the right hand side, we have..

pn-n²/(1-p)= a

a = pn-n²/1-p

or

a = n(p-n)/1-p

Answer:

20,000.

Step-by-step explanation:

The first music player has 500 songs stored by 2 GB. So 500/2 is 250. You take 250 and you multiply it by 80 and you get 20,000.

Answer:

4.072

Step-by-step explanation:

Answer:

Step-by-step explanation:

Brainliest? Thanks!

Answer:

Its True

Step-by-step explanation:

Answer:

Set 16/2000 = x/5000 and solve for x. = 40 trees saved.

Step-by-step explanation:

Answer: the answer would be 42.5 but i’m assuming that you would round.

Step-by-step explanation:

2000/ 17 = 5000/ x

cross multiply

85,000 = 2,000x

simplify(divide by 2000)

x= 42.5