Considera las longitudes obtenidas en la sesión anterior de una de las secciones de las jardineras para responder las siguentes preguntas

(a) The present value of an annuity formula can be used to calculate the monthly payment: Payment is equal to (PV x I / (1 - (1 + i)(-n)).

Where PV is the loan's present value, I is its monthly interest rate (0.035 / 12), and n is the number of payments (15 years multiplied by 12 months every year = 180 months).

Applying the values provided, we obtain:

(136,000 x 0.002917) / (1 - (1 + 0.002917)(-180)) is the amount to be paid.

Amount paid: $1,054.63

Hence, the installment will be $1,054.63 per month.

(b) By deducting the loan amount (PV) from the total amount paid over the loan's lifetime, it is possible to get the total interest payment:

Total interest equals PV minus (Payment x n)

Applying the values provided, we obtain:

$1,054.63 multiplied by 180 equals $136,000 in interest.

Interest totaled $88,833.40.

The total interest payment will therefore be $88,833.40.

(c) The Turners will have paid 120 times over the course of 10 years (10 years x 12 months/year). To determine their equity, we can apply the formula for calculating a loan's remaining balance:

The remaining balance is calculated as follows: PV x (1 + i)n - Payment x (1 + i)n - 1)/i

Where n denotes how many payments are still due (180 - 120 = 60).

Applying the values provided, we obtain:

The remaining balance is calculated as follows: $136,000 x (1 + 0.002917)60 - $1,054.63 x (1 + 0.002917)60 - 0.002917

Balance remaining: $71,587.90

As a result, their equity will be $170,000 (the original purchase price) less $71,587.90 (the outstanding balance) = $98,412.10 after ten years.

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Answer:

Step-by-step explanation:

x² + 10x + 24 = 0

Discriminant = 10² - 4×1×24 = 4

The discriminant is positive, so there are two distinct, real solutions.

Answer:

The answer is C) 4; Two real solutions.

Step-by-step explanation:

x2 + 10x + 24 = 0 in the function  

x2 resembles a

10x resembles b

24 resembles c

so, let's convert.

b2-4ac

(10) ^2 - 4(1)(24)

100 - 96

= 4

Answer: There are 6 wizards in the order.

Step-by-step explanation:

Let's suppose that:

Let's define S as the rate at which each wizard casts the spells.

Let's suppose also that there are N wizards in the order.

We know that the N wizards can complete the task in 4 hours, then:

(N*S)*4h = 1

(the 1 represents the completed task)

And we know that if 2 more wizards joined, the total task would be completed in 3 hours, then we have the equation:

(N+2)*S*3h = 1

Then we have the system of equations:

(N*S)*4h = 1

(N+2)*S*3h = 1

And we want to find the value of N.

To start, we need to isolate S in one of the equations, i will isolate S in the first equation:

S = (1/N*4h)

Now we can replace this in the second equation, to get:

(N+2)*(1/N*4h)*3h = 1

(N + 2)*3/(4*N) = 1

Now we can solve this for N.

(3/4) + 6/(4N) = 1

Now we can multiply by N in both sides to get:

(3/4)*N + 6/4 = N

6/4 = N - (3/4)*N = (1/4)*N

(6/4)*4 = N

6 = N

There are 6 wizards in the order.

The conversion of 5 kiiometers to miles is 3.11 miles

The given parameters are

Distance covered by the students = 5 kilometers

The ratio of the distance is given as

1 mile : 1.61 kilometers

Multiply both sides of the ratio by 5

So, we have the following ratio expression

5 * 1 mile : 1.61 kilometers * 5

Evaluate the product in the above expression

So, we have the following ratio expression

5 miles : 8.05 kilometers

Divide both sides of the ratio by 1.61

So, we have the following ratio expression

5/1.61 miles : 8.05/1.61 kilometers

Evaluate the quotient in the above expression

So, we have the following ratio expression

3.11 miles : 5 kilometers

Rewrite as

5 kilometers : 3.11 miles

This means that

5 kilometers = 3.11 miles

Substitute 5 kilometers = 3.11 miles  in Distance covered by the students = 5 kilometers

So, we have

Distance covered by the students = 3.11 miles

Hence, the distance covered by the students is 3.11 miles

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Answer:

6b+0=6b

Step-by-step explanation:

M a t h

To qualify for Gold status at Awesome Airlines, one must fly less than 34200 but at least 18000 miles each year. If Gerald takes a 900-mile round-trip flight when visiting his parents, he needs to visit his parents 20 times each year to attain Gold status.

Gerald takes a 900-mile round-trip flight when visiting his parents and he needs to visit his parents for the given number of times to attain Gold status.

Let's find the number of miles Gerald will earn with one round trip:

Gerald's one round-trip = 2 × 900= 1800 miles

Now, we know that Gerald needs to fly at least 18,000 miles to attain Gold status at Awesome Airlines.

Therefore, let's find the number of trips that Gerald needs to make to earn 18,000 miles.

Number of trips × miles per trip= 18,000

Number of trips × 1800= 18,000

Number of trips = 18000 / 1800

Number of trips = 10

This means that Gerald needs to make 10 round trips to attain 18,000 miles to qualify for the Gold status.

Now let's find how many times Gerald needs to visit his parents to earn less than 34200 miles.

Number of trips × miles per trip< 34200

Number of trips × 1800< 34200

Number of trips < 34200 / 1800

Number of trips < 19

Therefore, to qualify for Gold status at Awesome Airlines, Gerald needs to visit his parents 20 times in a year (10 times to reach 18,000 miles and less than 9 times to stay under 34,200 miles).

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The probability you have a full-house (3 cards of one rank and 2 cards of another rank) 0.00144, or approximately 0.14%.

The probability of getting a full house in a 5 card poker hand is calculated by first finding the number of ways to select 3 cards of one rank and 2 cards of another rank, and then dividing that by the total number of possible 5 card poker hands.
The number of ways to select 3 cards of one rank is the number of ways to choose the rank (13 options), and then the number of ways to choose 3 cards from the 4 cards of that rank (4 options for each card).

So, there are 13 (4 choose 3) = 52 ways to select 3 cards of one rank.
Similarly, the number of ways to select 2 cards of another rank is the number of ways to choose the rank (12 options, since one rank has already been chosen), and then the number of ways to choose 2 cards from the 4 cards of that rank (4 options for each card). So, there are 12 * (4 choose 2) = 144 ways to select 2 cards of another rank.
Therefore, the total number of ways to get a full house is 52x144 = 7,488.
The total number of possible 5 card poker hands is the number of ways to select any 5 cards from a deck of 52 cards, which is (52 choose 5) = 2,598,960.
So, the probability of getting a full house is 7,488 / 2,598,960 = 0.00144, or approximately 0.14%.

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The evaluated value of the function f(x) = 3e^(-x+2) - 2 for x = 4 is approximately 0.045.

To evaluate the function, we substitute x = 4 into the given equation and simplify the expression. Plugging in x = 4, we have f(4) = 3e^(-4+2) - 2. Simplifying further, we get f(4) = 3e^(-2) - 2.

Using the approximate value of e as 2.71828, we can calculate the evaluated value. Evaluating 3e^(-2) - 2, we find that f(4) is approximately equal to 0.045 when rounded to three decimal places.

Therefore, when x is 4, the function f(x) = 3e^(-x+2) - 2 evaluates to approximately 0.045.

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Answer:

19

Step-by-step explanation:

1 m = 100 cm        or      0.01 m = 1 cm

1900/100=19

Answer:

when you convert 1900 cm to meters, you'll get 19

To make a division between two integer, for example -6÷5. The first thing we need to do is:

• Define the sign of the result.

For that we use the law of signs:

• when you divide a negative number by a positive number, the answer will be negative.

• When you divide a positive number by a negative number, the answer will be also negative

• When you divide a negative number by a negative number, the answer will be a positive number.

In this example, we have the first case, so the answer will be negative.

Now we move to making th division between 6 and 5, for that we arrange the numbers as follows:

And we start by finding how many times does the number 5 fits into the number 6. The answer to that is that 5 can fit into 6 one time.

Given:

Dimensions of the cube: 14 × 14 × 14

The height of the square pyramid: 24

To find:

The volume of the given solid.

Step-by-step solution:

We know that:

The volume of the cube = a³

The volume of the square pyramid = a² (h/3)

The Total volume of the figure = The volume of the cube + The volume of the square pyramid.

The Total volume of the figure = a³ + a² (h/3)

The Total volume of the figure = (14)³ + (14)² (24/3)

The Total volume of the figure = 2744 + 196 × 8

The Total volume of the figure = 2744 + 1568

The Total volume of the figure = 4312 cube units

Final answer:

Thus we can say that the final volume of the figure is 4312 cube units.

a. The chart did not maintain consistent scaling

b. The graph is not the appropriate graph type to display such data

c.  The display had inaccurate or distorted visual representations

When the actual data may not support it, changing the scales on the axes might give the appearance of big changes or differences.

The visual effect of data can be exaggerated or minimized, for instance, by adopting a non-linear scale or deleting specific sections of the axis.

So it important to Choose appropriate graph type that best represents the data and the relationship you want to convey.

It also advisable to make use of  clear and accurate labeling with descriptive titles and units of measurement.

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Answer:

1) 26

2) 5

3) 20

Step-by-step explanation:

1. 7 x 3 + 5  Do Multiplication before addition

21 + 5

26

2. 8÷4 + 3 Do division before addition

2 + 3

5

3. 2(12-4) + 4  Do what is in the parentheses first

2(8) + 4  Multiply before you add

16 + 4

20

Answer:

y=\(\sqrt{171}\)

Step-by-step explanation:

5^2+y^2=14^2

y^2=171

y=\(\sqrt{171}\)

since the ladder is the hypotenuse, it will be the largest in the equation

use pythagorean theorem

Answer:

DIBF should be the answer

By some estimates 80-90 percent of employee learning occurs via on the job training.

This is the term that is used to refer to the training that people would receive based on the fact that it is preparing them to have the competent skills that are useful for a particular job. It is one of the ways that employers help to get their employees ready for the task at hand.

It has been reported from available data that on the job training is a great component of employee learning.

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Being able to inspect and adapt at scale is more what enterprise agile is all about.

What is enterprise ?

Despite being another word for a for-profit business or organization, the word "enterprise" is most frequently related to entrepreneurial endeavors. Those who are successful in business are frequently referred to as "enterprising." Legal businesses come in a variety of shapes and sizes, but the most popular ones in the US.

At the executive level, it's about placing smaller wagers. It involves being able to balance the sales and marketing side of the business with your capacity to develop useful products and then sustainably support those products.

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Answer:

y=7x, y=-5x, y=24x, y=-2x

Step-by-step explanation:

7. each of the Xs multiplied by 7 is the Y, so y=7x

8. the function is inverse, so we can assume that x is negative, and after we multiply the x by -1, we find that the rule is multiply by 5, so y=-5x

9.   looking again at the pattern, we can find that x * 24 is the y, so y=24x

10. again, the function is inverse so x is negative, and the pattern is multiplying by 2, so y=-2x

Answer:

The square root of 5 is expressed as √5 in the radical form and as (5)½ or (5)0.5 in the exponent form.

Step-by-step explanation:

Answer:

Last option:

x ≤ 217

Step-by-step explanation:

Mean time = Total Time/Number of observations

Mean time = (192 + 206 + 194 + 191 + x)/5 = (783 + x)/5

We want this mean time to be no greater than 200 seconds.

In other words we want mean time ≤ 200 s

We therefore get the inequality:
(783 + x)/5 ≤ 200

Multiplying both sides by 5
=> (783 + x) · 5  ≤ 200 · 5

=> 783 + x ≤ 1000

=> x ≤ 1000 - 783

=> x ≤ 217

Therefore, 68 child tickets were sold on Monday.

Sales typically refer to the exchange of goods or services for money or other consideration, such as barter. It is the activity or process of selling products or services to customers. Sales can occur through various channels, such as in-person transactions, online transactions, phone orders, etc.

Let's assume that x represents the number of child tickets sold on Monday.

Then, the number of adult tickets sold can be represented as (155 - x), since the total number of tickets sold was 155.

The total revenue from child tickets can be represented as 5.30x, since the price of one child ticket is $5.30.

Similarly, the total revenue from adult tickets can be represented as 9.30(155 - x), since the price of one adult ticket is $9.30 and there were (155 - x) adult tickets sold.

The total sales revenue for the day was $1169.50, so we can write:

5.30x + 9.30(155 - x) = 1169.50

Expanding this equation gives:

5.30x + 1441.50 - 9.30x = 1169.50

Simplifying and solving for x, we get:

-4.00x = -272.00

x = 68

Therefore, 68 child tickets were sold on Monday.

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The correct answer is a)True  c)True The order of the cyclic group is determined by the number of elements in the group, whereas the order

a. True. If a nonempty subset H of a group G is closed under the binary operation of G, contains the identity element of G, and contains the inverse of each of its elements, then H is a subgroup of G.

c. A is true but B is false. Every cyclic group is indeed abelian, but the order of the cyclic group is not necessarily the same as the order of its generator. The order of the cyclic group is determined by the number of elements in the group, whereas the order of the generator refers to the smallest positive exponent that generates all elements of the group.

a. Zero has no inverse. In the set of real numbers under the usual multiplication operation, the element zero does not have a multiplicative inverse. Every nonzero real number has an inverse, but zero itself does not. In a group, every element should have an inverse, so the set of all real numbers under multiplication does not form a group.

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Emma your face is always so blank, Like Give us an expression! And your nose so flat Like you've been hit with a pan Just like your chest. Sebastion Must be blind if he has a thing for You, I mean look at your flat lookin self you he must be built reta.rded. Maybe that's why his Mama Left him.

Answer:

44.8 inches

Step-by-step explanation:

5.6x8

need to write something to let me answer

Answer:

44.8 inches

Step-by-step explanation:

Hope this helps

Answer = 1.8

Step 1) 3 ÷ 2.7 = 0.900

Step 2) 0.900 x 2 = 1.8

Time taken by the person to walk the boardwalk to the end and back is 0.9 hours.

Given that, The Coney Island Boardwalk is 2.7 miles long.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

A person walks at the average speed of 3 mph.

We know that, speed = Distance/Time

= 2.7/3

= 0.9 hours

Hence, time taken by the person to walk the boardwalk to the end and back is 0.9 hours.

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The area covered by the pool and the cement walkway is 304  square feet. The width of the walkway would be 5 feet

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Let x be represent the width of the walkway.

The pool measures 25 ft by 10ft . If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway =  25+ x + x = 25 + 2x

The total width of the pool and the walkway = 10 + x + x = 10 + 2x

The area covered by the pool and the cement walkway is 304  square feet. This means that;

(25 + 2x)(10 + 2x) = 304

250 + 50x + 20x + 4x^2 = 304

4x^2 + 70x + 250 - 304 = 0

4x^2 + 70x - 54 = 0

x(x + 20) - 5(x + 20) = 0

(x - 5)(x + 20) = 0

x = 5 or x = - 20

Thus The width cannot be negative.

Therefore, the width of the walkway is 5 feet.

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The direction angle of the vector v=6i - 7j is approximately -47.1°, indicating its angle with the negative x-axis.

To find the direction angle, we can use the inverse tangent function. The direction angle is given by θ = arctan(-7/6). Evaluating this on a calculator, we find θ ≈ -47.1°.

The negative sign indicates that the vector is in the third quadrant of the Cartesian coordinate system. In this quadrant, both x and y components are negative, resulting in a negative slope.

The direction angle represents the angle between the positive x-axis and the vector v.

In this case, it indicates that v forms an angle of approximately 47.1° with the negative x-axis in a counterclockwise direction.

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