A flat screen television costs $1600. It may be purchased for $100 down and 24 easy monthly payments of $80 each. What simple interest rate was charged on the purchase per monthly payment?

The correct asnwer is (5, infinity).

Let's remember the definition of being a increasing function: If we take (arbitrary) two numbers a and b in the interval, and

Then

Area:

Approximately 211.24 square feet

Explanation:

Im going to assume you are asking for the surface area of a sphere with a diameter of 8.2ft. The equation to find this is: \(A = 4\pi r^2\)

Firstly, we need to convert the diameter to the radius. The diameter is always twice the length of the radius, so the radius must be 4.1ft

Plug this value in:

\(A = 4\pi (4.1)^2\\A = 4\pi(16.81)\\A = 211.24\)

B) x=4

Explanation:

=> 3x-4=8

=> 3x=8+4

=> 3x=12

=>x=12/3

=> x=4

In order to determine the value of the missing length b, use the Pithagorean theorem, given by:

h² = a² + b²

where:

h = 6.5 mm

a = 2.5 mm

solve the previous equation for b, as follow:

b = √(h² - a²)

b = √(6.5² - 2.5²)mm

b = √36 mm

b = 6 mm

Hence, the value of the missing length is 6 mm

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)

To accumulate $2,176,097.00 in his retirement account by age 65, Derek needs to make annual deposits of $5,000.00 starting on his 27th birthday and ending on his 65th birthday, assuming an 8.00% interest rate.

To determine the annual deposits Derek needs to make, we can use the future value of an ordinary annuity formula. First, we calculate the number of years between Derek's 25th and 65th birthdays, which is 65 - 25 = 40 years. Next, we calculate the future value of the retirement account using the given interest rate of 8.00%. Using the formula:

Future Value = Present Value * (1 + interest rate)^number of periods

In this case, the future value is $2,176,097.00, the interest rate is 8.00%, and the number of periods is 40. We can rearrange the formula to solve for the present value:Present Value = Future Value / (1 + interest rate)^number of periods

Substituting the values:Present Value = $2,176,097.00 / (1 + 0.08)^40 = $123,529.31 (rounded to 2 decimal places)

Now, we need to find the annual deposit amount. Since Derek starts making deposits on his 27th birthday and ends on his 65th birthday, he makes deposits for 65 - 27 = 38 years.Annual Deposit = Present Value / ((1 + interest rate)^number of periods - 1)Substituting the values:

Annual Deposit = $123,529.31 / ((1 + 0.08)^38 - 1) = $5,000.00 (rounded to 2 decimal places)Therefore, Derek must make annual deposits of $5,000.00 into his retirement account starting on his 27th birthday and ending on his 65th birthday to accumulate $2,176,097.00 by the time he turns 65.

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Answer: 2.9166666666633333333333333333333

Step-by-step explanation:

Answer:

35/12

Step-by-step explanation:

Answer:

what numbers are located between (-10 and (-5 on a number line

(a) Isla's trading cards are 125% of Lily's trading cards.

(b) Lily's trading cards are 80% of Isla's trading cards.

Given that,

There are 225 trading cards and Lily has 180 trading cards.

To calculate the percentage of Isla's trading cards compared to Lily's,

We can use this formula:

⇒ Isla's trading cards / Lily's trading cards x 100%

Plugging in the values we get:

⇒ (225 / 180) x 100% = 125%

Therefore,

Isla's trading cards are 125% of Lily's trading cards.

b) To calculate the percentage of Lily's trading cards compared to Isla's, we can use the formula:

⇒ Lily's trading cards / Isla's trading cards x 100%

Plugging in the values we get:

(180 / 225) x 100% = 80%

Therefore,

Lily's trading cards are 80% of Isla's trading cards.

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An average of 3 people are stepping onto the roller coaster per minute at peak time. The answer is option B) 6.

To determine the number of people who are stepping onto the roller coaster per minute at peak time, you need to divide the number of people on the roller coaster by the duration of the ride. Hence, the correct option is B) 6.

To be more specific, this means that at peak time, an average of 3 people is getting on the ride per minute. This is how you calculate it:

Number of people per minute = Number of people on the roller coaster / Duration of the ride

Number of people on the roller coaster = 24

Duration of the ride = 8 minutes

Number of people per minute = 24 / 8 = 3

Therefore, an average of 3 people are stepping onto the roller coaster per minute at peak time. The answer is option B) 6.

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Answer:

a = -5/13

Step-by-step explanation:

13a = -5

a = -5/13

hope this helps, pls mark brainliest :D

To make the triangle an isosceles triangle, where WX = WY, we must determine the value of x and the values of each side.

Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. 

A polygon also includes a triangle.

Triangles have three sides.

Triangles have three sides. The sides of the triangle ABC are AB, BC, and CA.

The angle of a triangle is represented by the symbol and represents the angle created by any two of its sides. 

Three angles make compose a triangle. The triangle ABC has the following three angles: ABC, BCA, and CAB. The names of these angles are B, C, and A, respectively.

The point of intersection of any two sides of a triangle is known as a vertex.

A triangle's vertex is the location where any two of its sides cross. The vertices of a triangle are three. The vertices of the triangle ABC are A, B, and C.

according to our question-

WX = WY

9x - 11 = 7x - 3

2x - 11 = -3

2x = 8

x = 4

WX = 9(4)-11 = 25

WY = 7(4)-3 = 25

XY = 4(4)+1 = 17

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Complete Question-

In triangle WXY, if <X is congruent to <Y,WX=9x-11, XY=4x+1, and WY=7x-3, find x and the measure of each side.

(a) The probability of having two Tails given that at least one of the coins landed Tails is 1/2.

(b) The probability that both coins are from an "I" state is 6/1225, which simplifies to 2/245.

(c) The probability that one of the coins tossed was the Illinois quarter, given that you do not see the name "Illinois", is 49/75.

(d)

Therefore, the PMF of X is:

P(X=0) ≈ 0.4265

P(X=1) ≈ 0.5135

P(X=2) ≈ 0.0565

P(X=4) ≈ 0.0035

(a) To find the probability of having two Tails given that at least one of the coins landed Tails. Let B be the event that both coins landed Tails. Then, the probability we are looking for is P(B|A) = P(B and A)/P(A).

using complement rule: P(A) = 1 - P(neither coin landed Tails) = 1 - P(both coins landed Heads) = 1 - (1/2) * (1/2) = 3/4.

using conditional probability formula: P(B and A) = P(B|A) * P(A) = P(Tails on second coin | Tails on first or second coin) * P(Tails on first or second coin) = (1/2) * 3/4 = 3/8.

Therefore, P(B|A) = P(B and A)/P(A) = (3/8)/(3/4) = 1/2.

(b) There are 50 coins in total, so the sample space has size 50 choose 2 = 1225. There are 4 states whose name begins with "I", so the number of ways to choose two coins from those states is 4 choose 2 = 6. Therefore,

(c) Let B be the event that one of the coins tossed was the Illinois quarter.Then, P(B) = 1/2.

using formula: P(A and B) = P(B|A) * P(A) = P(B and A).

using law of total probability: P(B and A) = P(B and neither coin is Illinois) + P(B and one coin is Illinois) = (48/50) * (1/2) + (1/50) * (1/2) = 49/100.

Therefore, P(B|A) = P(B and A)/P(A) = (49/100)/(3/4) = 49/75.

(d)The number of ways to choose two coins from these states is 7 choose 2 = 21. Let X be the total number of G's in the state names for the two coins that were tossed. Then, X can take on the values 0, 1, 2, 3, or 4.

To find the PMF of X, we need to calculate P(X = k) for each value k.

The probability of getting a sum of 0 G's is therefore:

P(X=0) = 42C2 / 50C2 ≈ 0.4265

The probability of getting a sum of 1 G is therefore:

P(X=1) = 2(6C1 × 44C1 + 6C2) / 50C2 ≈ 0.5135

The probability of getting a sum of 2 G's is therefore:

P(X=2) = 6C2 / 50C2 ≈ 0.0565

The probability of getting a sum of 4 G's is therefore:

P(X=4) = 1 / 50C2 ≈ 0.0035

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Answer:

20x + 5

all you really need to do is multiply the 4x and the 5. you just leave the + 5 alone

Answer:

tan Q = 15/8

Step-by-step explanation:

tan Q = opp/adj

tan Q = OP/8

OP² + PQ² = OQ²

OP² + 64 = 289

OP² = 225

OP = 15

tan Q = 15/8

Answer:

24

Step-by-step explanation:

24

The total number of different costumes possible is 24 if  Anita has a costume wardrobe that consists of 2 pairs of tights, 3 T-shirts, and 3 scarves.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Anita has a costume wardrobe that consists of 2 pairs of tights (1 white pair and 1 black pair), 3 T-shirts (1 pink, 1 blue, and 1 green), and 3 scarves (1 silver, 1 gold, and 1 white).

The costume consists of either a pair of tights or a T-shirt with a scarf:

In this case total number of ways = 2×3×3 = 18

Pair of tights and a T-shirt without a scarf:

In this case total number of ways = 2×3 = 6

Total number of different costumes are possible:

= 18 + 6

= 24

Thus, the total number of different costumes possible is 24 if  Anita has a costume wardrobe that consists of 2 pairs of tights, 3 T-shirts, and 3 scarves.

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Any elementary row operation on A can be expressed as a product of replacement operations on A. This means that A can be row reduced to U using only replacement operations, which is the converse of what was proved in the text.

The LU factorization of a matrix A involves decomposing it into a lower triangular matrix L and an upper triangular matrix U, such that A = LU. This means that A can be written as the product of two triangular matrices, one of which is lower triangular and the other is upper triangular.

To show that A can be row reduced to U using only replacement operations, we need to prove that any elementary row operation performed on A can be expressed as a product of replacement operations on A.

First, consider the operation of multiplying a row of A by a scalar. This is a replacement operation, since it replaces one row of A with a multiple of itself.

Next, consider the operation of adding a multiple of one row of A to another row. This is also a replacement operation, since it replaces one row of A with a linear combination of itself and another row.

Finally, consider the operation of interchanging two rows of A. This can be expressed as a sequence of replacement operations: first, add one row to the other, then subtract the original row from the first row, and finally add the second row back to the first row.

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Answer:

larger number = 3

smaller number = -1

Step-by-step explanation:

x = larger number

y = smaller number

x+y=2

8-2y=4x-2 ---> 10 = 4x+2y

10 = 4x+2y

5=2x+y

y = 5-2x

2x=5-y

x+5-2x = 2

-x+5=2

-x=-3

x=3

3+y=2

y=-1

Answer:

Step-by-step explanation:

6 + 4x = 5x

6 = x

We will investigate how to use the difference of two squares theorem to determine a solution to the equation.

The equation at hand is as follows:

We will move all the terms on the left hand side of the " = " sign as follows:

The difference of two squares theorem states that:

We see from the above form that we have the following:

Using the difference of two squares formulation we can re-write as a multiple of two factors:

Then the factorized equation becomes:

The solution of the equation becomes:

We can condense our solution in the form:

Answer:

\( {2}^{ \frac{3}{2} } = \sqrt[3]{ {2}^{2} }\\= \sqrt[3]{ {4}}\)

The surd form is : \((\sqrt{2} )^3\)

\((\sqrt{2} )^3=\sqrt{2}. \sqrt{2}. \sqrt{2}\)

It gives in the approximate value is : 2.80

Surds are the square roots (√) of numbers that cannot be simplified into a whole or rational number. It cannot be accurately represented in a fraction. In other words, a surd is a root of the whole number that has an irrational value. Consider an example, √2 ≈ 1.414213. It is more accurate if we leave it as a surd √2.

We have from the question is:

Write in the surd form:

=> \(2^\frac{3}{2}\)

Now, According to the definition:

Write like this:

\(2^\frac{3}{2}=((\sqrt{2} )^2)^\frac{3}{2}\)

Cancel out the:

2 × 3/2 = 3

So, \((\sqrt{2} )^3=\sqrt{2}. \sqrt{2}. \sqrt{2}\)

It gives in the approximate value is : 2.80

But, The surd form is : \((\sqrt{2} )^3\)

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Answer:

Step-by-step explanation:

The equation will become

y = (x - 7 + 4)^2

The -7 will translate the whole graph 7 units to the right.

Answer:

The graph will move seven units to the right

Step-by-step explanation:

The data points to use is based on two companies knowledge to accomplice.

Here in this question we have been given an example of our time in a school team in which you have to realize on data to convince a group about the recommendation.

Here we also know that when we were making any recommendation to convince a group we have to keep its positive wherever we response to a question about the time you had to convince someone to do something your way.

Here we have also know that you may be tempted so may be tempted to put a negative spin on situation.

So, in order to accomplish the we have to accomplice and will have knowledge two companies knowledge to accomplice

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The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

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The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

The area between Z = -2.68 and Z = -0.99 for the standard normal distribution is 0.1574.

In the standard normal distribution, also known as the Z-distribution, the area under the curve represents the probability of observing a specific range of values.

This area can be calculated using a Z-table or a statistical software.

To find the area between Z = -2.68 and Z = -0.99, we need to find the probability of observing a value within this range.

By looking up the corresponding probabilities in the Z-table or using statistical software, we find that the area is 0.1574.

This means that there is a 15.74% probability of observing a value between Z = -2.68 and Z = -0.99 in the standard normal distribution.

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Aqil have 88 stickers.

Let Ryan have x stickers initially. Then Aqil will have (352-x) stickers. Ryan lost 25% of his stickers i.e., x-(25% of x)

= x- 25x/100

= x-x/4

= 3x/4

After Ryan lost 25% of his stickers, the ratio of Ryan's stickers to Aqil's stickers was 9:4 i.e.,

3x/4 : (352-x) = 9 : 4

⇒ 3x/4/(352-x) = 9/4

⇒3x/4 x 4 = 9 x (352-x)

⇒3x = 3168-9x

⇒3x+9x = 3168

⇒12x = 3168

⇒x = 3168/12

⇒x = 264

∴ Ryan have 264 stickers of the total 352 stickers and Aqil will have (352-x) i.e., 88 stickers.

Hence, Aqil have 88 stickers out of the 352 stickers.

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A game where pursuing dominant strategies results in noncooperation that leaves everyone worse off is called a "prisoner's dilemma."

A prisoner's dilemma is a decision-making paradox wherein two individuals working in their very own self-interest do not generate the best solution.

Some key features regarding the prisoner's dilemma are-

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