You have a credit card balance of $1500. You have a recurring charge of
$50/month (adding to the balance) and make a payment of $100/month (lowering the balance). Your monthly interest rate is 2%. What will your balance be after 18 months?

Answer:

x=2

Step-by-step explanation:

1. AB=AC (The triangle is isosceles. This means that at least two of its sides are equal in length. Looking at the triangle in the picture, sides AB and AC look the same, so we will assume that they are equal. Note that as you get more advanced, assuming isn't the best strategy. You should always try to look for hints if you are ever unsure. For example, if there are two angles that are the same measure in a triangle, the two sides that are only touching one of these angles are equal in length. This is called the base angles theorem converse.)

2. 9x-3=6x+3 (Rewrite sides AB and AC as the values given in the picture. This is called substitution.)

3. 9x=6x+6 (Add 3 to each side)

4. 3x=6 (Subtract 6x from each side)

5. x=2 (Divide each side by 3)

let me know if i did anything wrong, hope this helps!!

Answer:

0.485

Step-by-step explanation:

Each term is 0.019 more than the term before it.

Therefore to find the next term, we just need to add 0.019 to the last given term:

0.466 + 0.019 = 0.485

The next term is 0.485.

Hope this helped!

Answer:

Cada ángulo igual es recto, es decir, mide 90°

Step-by-step explanation:

Intersección de dos rectas

Cuando dos rectas no paralelas se intersectan, forman en el punto de corte 4 ángulos iguales de a pares, es decir, dos pares de ángulos congruentes.

La suma de todos los ángulos formados es invariablemente 360°.

En general, siendo a y b dos ángulos adyacentes formados por el cruce, se cumple que:

a + b = 180°

Y la suma de todos los ángulos es el doble de lo anterior:

2a + 2b = 360°

Si todos los ángulos son iguales, a=b, entonces:

4a = 360°

a = 90°

Cada ángulo igual es recto, es decir, mide 90°

Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

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The unknown side lengths are

Large triangle 10

Medium triangle 2

Small triangle 12/5 or 2.4

Step-by-step explanation:

EFD to ABC is 0.4 or 2/5

EFD to GHI is 0.24 or 6/25

ABC to GHI is 0.6 or 6/10

The side length of c is  2.

The side length of d is 10.

The side length of e is 10.

The side length of h is  2.4.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangles ABC, EFD, and GHI are all similar.

The side lengths of the triangles all have the same units.

This means,

The ratio of the corresponding sides of the two triangles is the same.

Now,

ΔABC and ΔGHI

4/(12/5) = 4/h = c/ (6/5)

20/12 = 4/h = 5c/6

We will consider 20/12 = 4/h.

20/12 = 4/h

5/12 = 1/h

h = 12/5

h = 2.4

We will consider 20/12 = 5c/6

20/12 = 5c/6

4/2 = c

c = 2

Now,

ΔABC and ΔEFD

4/e = 4/d = c/5

4/e = 4/d = 2/5

Consider 4/e = 2/5

4/e = 2/5

2/e = 1/5

e = 10

Consider 4/d = 2/5

4/d = 2/5

2/d = 1/5

d = 10

Thus,

The side length are:

c = 2

d = 10

e = 10

h = 2.4

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Answer:

See below & picture.

Step-by-step explanation:

First, graph the given point, (2, 3).

Now use the slope to find two other points on the graph. The slope is -3/4. Start at (2, 3). Go down 3 and right 4. That is another point. Go back to point (2, 3). Using the slope, go left 4 and up 3. That is another point. Now draw a line through those three points. See the picture below.

Answer:

after 25 minutes the temperature was at 78 degrees

Step-by-step explanation:

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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Answer: the answer is A 0.81

Answer:

$5473 and it will take 1 day.

Step-by-step explanation:

You can add side by side until their the same answer.

\(5454\\ + 19\\5473\)                                                 \(5453\\+ 20\\5473\)

As you can see they both have the same amount of money in their retirement account after one day and they have the same total of $5473.

to find the reciprocal just switch the numerator and the denominator.

= 8/5 ( 8 by 5 )

Answer:

its not there bud

Step-by-step explanation:

We need to find the number of students that scored above 50.57.

That number is given by the sum of all heights of the bars after 50.5:

Heights of the bars with scores above 50.5:

• bar labeled 1: ,100

• bar labeled 2: ,250

• bar labeled 3: ,200

• bar labeled 4: approximately ,190

• bar labeled 5: approximately ,60

Then, adding those values, we obtain:

Answer: D. 800

According to  quadrant geometry value of x is 7

What is quadrant in geometry?

The coordinate system's two axes, the x-axis and the y-axis, constitute a region called a quadrant. The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.

Write a proportion using the side lengths of each similar form to locate the missing side. An equation that makes two ratios equal is called a proportion. By dividing the numerator and denominator of each fraction by two, you can find x.

4(14) = 8(-7+2x)

56 = -56 + 16x

112 = 16x

x=7

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Question:

Solve for x . The polygons in each pair are similar

Answer:

IM LOOKING FOR THE ANSWER TO LOL

Step-by-step explanation:

Answer:

B. 6

Step-by-step explanation:

Step 1: Subtract 3 from both sides.

6=n

Answer B. 6 equals n

Step-by-step explanation:

9 = 6 + 3

Xavier’s salary in 2015= $44, 200

The year which Xavier’s salary first became greater than $47500= year 2019

His first salary in year 2010= $40100

The amount increase per year= 2/100×40100

= 2× 410=$820

The number of years with increased salary =

2015-2010= 5years.

The amount increase over 5 years= 5× $82 0

= $4100

Therefore his salary in 2015= $40100 + $4100

= $44200

To calculate the year Xavier’s salary would first be greater than $47500

$47500- $40100 = $7,400

Which means, if $4100 = 5 years from 2010

$7,400 = x years from 2010

Cross multiply,

X years= $7,400 × 5/$4100

= $37000/ $4100

= 9 years from 2010

Therefore, at 2019 Xavier’s salary would be greater than $47500

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The type of sampling used in this scenario is A Systematic sampling.

Systematic sampling involves selecting every kth element from a population list after randomly selecting a starting point. In this case, Christopher collects data from all the band members in his class, indicating that he is sampling systematically from a known list of band members.

This method ensures that every band member in the class has an equal chance of being selected, and it simplifies the process by following a predetermined systematic approach rather than relying on random selection or stratification.

Therefore, the type of sampling used in this scenario is A Systematic sampling.

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Complete question is below

To study the sleeping habits of all band members in his school, Christopher collects data from all the band members in his class. Which type of sampling is used? Select the correct answer below:

A Systematic sampling

B Stratified sampling

C Cluster sampling

D Convenience sampling

Answer:

what is the price of for each page?

T symbol in statistics means Test statistic for t-test ( t-score )

What is  t-statistic ?

The t-statistic in statistics measures how far an estimated value of a parameter deviates from its hypothesised value in relation to its standard error.

T symbol in statistics mean Test statistic for t-test (  t-score )

Through the Student's t-test, it is utilised for testing hypotheses. To decide whether to accept or reject the null hypothesis in a t-test, the t-statistic is used.

It is quite comparable to the z-score, but when the sample size is small or the population standard deviation is unknown, the t-statistic is employed instead.

For instance, if the population standard deviation is unknown, the population mean can be estimated using the t-statistic from a sampling distribution of sample means.

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The length of the side AD is 24 inches

Consider the triangle ABC

The area of the triangle = 288 square inches

The length of the side CD = 9 inches

The length of the side DB = 15 inches

The length of the the base = The length of the side CD + The length of the side DB

Substitute the values in the equation

The length of the the base  = 9 + 15

= 24 inches

The area of the triangle = (1/2) × Base × Height

Substitute the values in the equation

288 = (1/2) × 24 × AD

288 = 12 × AD

AD = 288 / 12

AD = 24 inches

Hence, the length of the side AD is 24 inches

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The volume of the cone in this problem is given as follows:

V = 48π units³.

The volume of a cone of radius r and height h is given by the equation presented as follows:

V = πr²h/3.

From the image given in this problem, the parameters are given as follows:

r = 6 mm, h = 4 mm.

Hence the volume is given as follows:

V = π x 6² x 4/3

V = 48π units³.

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Answer:

This is the correct answer

Step-by-step explanation:

The V = 125

After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.

The Markov assumption in this context is that the probability of a voter's next vote depends only on their current vote and not on their past voting history. In other words, the Markov assumption states that the future behavior of a voter is independent of their past behavior, given their current state.

Transition diagram:

        LEFT      RIGHT

    |--------->--------|

LEFT |   0.8        0.2   |

    |                   |

RIGHT|   0.1        0.9   |

    |--------->--------|

The diagram represents the two possible states: LEFT and RIGHT. The arrows indicate the transition probabilities between the states. For example, if a voter is currently in the LEFT state, there is a 0.8 probability of transitioning to the LEFT state again and a 0.2 probability of transitioning to the RIGHT state.

Transition matrix:

     |  LEFT   |  RIGHT  |

---------------------------

LEFT  |   0.8   |   0.2   |

---------------------------

RIGHT |   0.1   |   0.9   |

---------------------------

The transition matrix represents the transition probabilities between the states. Each element of the matrix represents the probability of transitioning from the row state to the column state.

If 55% of the electorate votes RIGHT one year, we can use the transition matrix to find the percentage of voters who vote RIGHT the next year.

Let's assume an initial distribution of [0.45, 0.55] for LEFT and RIGHT respectively (based on 55% voting RIGHT and 45% voting LEFT).

To find the percentage of voters who vote RIGHT the next year, we multiply the initial distribution by the transition matrix:

[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1] = [0.62, 0.38]

Therefore, the percentage of voters who vote RIGHT the next year would be approximately 38%.

To find the voter percentages in 10 years' time, we can repeatedly multiply the transition matrix by itself:

[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1]^10 ≈ [0.503, 0.497]

After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.

Interpretation: The results suggest that over time, the voter percentages will tend to approach an equilibrium point where the percentages stabilize. In this case, the percentages stabilize around 50% for both LEFT and RIGHT parties.

No, there will not be a steady state where the party percentages don't waiver. This is because the transition probabilities in the transition matrix are not symmetric. The probabilities of transitioning between the parties are different depending on the current state. This indicates that there is an inherent bias or preference in the voting behavior that prevents a steady state from being reached.

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Answer:   Lincoln drove, on average, 31 miles per hour.

Step-by-step explanation:

To calculate the average speed in miles per hour, we divide the total distance traveled by the total time taken.

Total distance: 155 miles

Total time: 5 hours

Average speed = Total distance / Total time

Average speed = 155 miles / 5 hours

Average speed = 31 miles per hour

Answer:

155÷5=31 miles

Step-by-step explanation:

in 5h he drove 155 miles

in one hour he drove 155÷5

so he drove 31 miles in one hour

Answer:

x=1

Step-by-step explanation:

The Mean for June 2006 and 2005 is  $345,909 and $335,977 respectively. The median for June 2006 and 2005 is $254,000 and $139,000 respectively, there's no mode in this question.

In statistics, the mean, mode, and median are three measures of central tendency that describe a set of numerical data.

The mean is the average of a set of numbers, calculated by adding up all the values and dividing by the number of values. For example, if a set of data contains the values {1, 2, 3, 4, 5}, the mean is (1 + 2 + 3 + 4 + 5) / 5 = 3.

The mode is the value that appears most frequently in a set of data. For example, if a set of data contains the values {1, 2, 2, 3, 4, 4, 4, 5}, the mode is 4, because it appears three times, which is more than any other value.

The median is the middle value in a set of data when it is ordered in ascending or descending order. For example, if a set of data contains the values {1, 2, 3, 4, 5}, the median is 3, because it is the middle value. If there is an even number of values, then the median is the average of the two middle values.

It is important to note that different sets of data may have different measures of central tendency, and sometimes none of these measures may be appropriate.

Measures of central tendency are used to summarize and describe a set of data. The most common measures of central tendency are the mean, median, and mode.

1. Mean:

• Mean for June 2006: (508+435+538+913+367+033+254+240+137+022+160+548+260+458+358+035+222+879+136+371+127+586+201+316)/22 = $345,909

• Mean for June 2005: (422+843+469+588+245+803+199+409+132+054+139+728+254+725+345+065+210+740+134+334+125+455+184+853)/22 = $335,977

2. Median:

• Median for June 2006: Median of ordered data is the value in the middle of the data set, It is the 11th value in order set. we can see that it is $254,000

• Median for June 2005: Median of ordered data is the value in the middle of the data set, It is the 11th value in order set. we can see that it is $139,000

3. Mode:

• Mode for June 2006: There is no mode, because no value is repeated.

• Mode for June 2005: There is no mode, because no value is repeated.

Conclusions:

• The mean housing price in June 2006 is higher than the mean housing price in June

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Answer:

Step-by-step explanation:

The radius is 6 inches uw :)

Answer:

D. $9.50

Step-by-step explanation:

If you take the $155 and subtract the $15 per lawn mowed you get $95. If then you add up the total hours he spent mowing (10) and divide the $155 by the 10 you end up with $9.50 for each hour he spent mowing.

Answer: Square feet

Step-by-step explanation: Well, in the 3 options given, ounces aren't used for distance which is what it is calculating, and for bigger terms, you wouldn't use inches, so the only logical answer is square feet.