Find the measure of Tu in the photo

It will take approximately 15.27 years for your investment to reach $5,000 at a growth rate of 4.55% per year.

Using the compound interest calculation, we can determine how long it will take for your investment to grow to $5,000 at a growth rate of 4.55% per year:

[tex]A = P(\frac{1 + r}{n} )^(^n^t^)[/tex]

Where:

A = the final amount ($5,000)

P = the initial deposit ($2,500)

r = the interest rate (4.55%)

n = the number of times interest is compounded per year (assuming yearly compounding, n=1)

t = the number of years

Plugging in the values, we get:

[tex]\$5,000 = \$2,500(\frac{1 + 0.0455}{1} )^(^1^t^)[/tex]

Simplifying, we get:

[tex]2 = (1.0455)^t[/tex]

Taking the natural logarithm of both sides, we get:

ln(2) = t ln(1.0455)

Solving for t, we get:

t = ln(2) / ln(1.0455) = 15.27 years

Therefore, it will take approximately 15.27 years for your investment to reach $5,000 at a growth rate of 4.55% per year.

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Answer:

3! = 6

Step-by-step explanation:

Once she teaches the puppy one trick there are 3 possible tricks left. After teaching the second trick there are 2 and after the third there is 1. Therefore, we multiply these numbers together to get 3(2)(1)=6 which is 3!.

Answer:

√429.

Step-by-step explanation:

Triangles BCD and ABC are similar, so corresponding sides are in the same ratio, so:

x/ AC = DC/x

x/39 = 11/x

x^2 = 11*39

x^2 = 429

x = √429

Answer:

(x-6)²+(y+3)²=17²

Step-by-step explanation:

The equation of a circle with center (a,b) and radius r is given by the formula:

(x - a)² + (y - b)² = r²

In this case, the center of the circle is (6,-3), and it passes through the point (-9,5). To find the radius of the circle, we need to calculate the distance between the center and the point on the circle. Using the distance formula, we get:

r = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-9 - 6)² + (5 - (-3))²]

= √[225 + 64]

= √289

= 17

So, the radius of the circle is 17. Now we can plug in the values for the center and radius into the equation of a circle:

(x - 6)² + (y + 3)² = 17²

The student should receive $5.69 in change.

The price of the shirt after the coupon is applied is 0.75 times the regular price, so:

Price of the shirt = 0.75x

If x = $18, then the price of the shirt is:

Price of the shirt = 0.75($18) = $13.50

The clerk adds 6% sales tax to the price of the shirt:

Sales tax = 6% of $13.50 = 0.06($13.50) = $0.81

So the total cost of the shirt is:

Total cost = $13.50 + $0.81 = $14.31

If the student pays with a $20 bill, the change the student should receive is:

Change = $20 - $14.31 = $5.69

Therefore, the student should receive $5.69 in change.

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Answer:

1 term-38. ,2nd term-36. ,3rd tern is34

Answer:

Step-by-step explanation:

(a) The total payment for a student who registers for m language subjects and n other subjects can be expressed as:

Total payment = Administrative fee + Tuition fee for language subjects + Tuition fee for other subjects

Total payment = RM30 + RM45m + RM40n

Total payment = RM30 + 45m + 40n

(b) For Zaleha who registers for 3 language subjects and 2 other subjects, the total payment can be calculated as:

Total payment = RM30 + (3 x RM45) + (2 x RM40)

Total payment = RM30 + RM135 + RM80

Total payment = RM245

(c) Chan pays RM280 when she registers for 2 language subjects and p other subjects. We can use the formula derived in part (a) to find the value of p:

Total payment = RM30 + (2 x RM45) + (p x RM40)

RM280 = RM30 + RM90 + RM40p

RM280 - RM120 = RM40p

RM160 = RM40p

p = 4

Therefore, Chan registers for 2 language subjects and 4 other subjects.

(a) The surface area of a right pyramid with a square base can be calculated as:

L = base area + 1/2 x perimeter of base x slant height

The base of the pyramid is a square, so its area can be expressed as:

Base area = a^2

The perimeter of the base can be calculated as:

Perimeter of base = 4a

The slant height can be calculated using the Pythagorean theorem:

slant height = sqrt(h^2 + (a/2)^2)

where h is the height of the pyramid.

Substituting these values in the surface area formula, we get:

L = a^2 + 1/2 x 4a x sqrt(h^2 + (a/2)^2)

L = a^2 + 2a x sqrt(h^2 + (a/2)^2)

(b) If a = 10 and b = 12, then the surface area of the pyramid can be calculated as:

L = 10^2 + 2 x 10 x sqrt(h^2 + (10/2)^2)

L = 100 + 20sqrt(h^2 + 25)

Given that L = 192, we can solve for h:

192 - 100 = 20sqrt(h^2 + 25)

92 = 20sqrt(h^2 + 25)

4.6 = sqrt(h^2 + 25)

4.6^2 - 25 = h^2

h^2 = 2.76

h = sqrt(2.76)

h ≈ 1.66

Substituting these values in the surface area formula, we get:

L = 10^2 + 2 x 10 x sqrt(1.66^2 + (10/2)^2)

L ≈ 314.9

Therefore, the surface area of the pyramid is approximately 314.9 square units.

(c) If L = 192 and a = b, then the surface area formula can be simplified as:

L = a^2 + 2a x sqrt(h^2 + (a/2)^2)

192 = a^2 + 2a x sqrt(h^2 + (a/2)^2)

We also know that the height of the pyramid is equal to the side length of the triangular faces. Since the pyramid is a right pyramid, the height and slant height are related by the Pythagorean theorem:

h^2 + (a/2)^

The experimental probability that the next customer buys a red notebook with 150 pages is 53/386 or 13.73%.

To find the experimental probability of the next customer buying a red notebook with 150 pages, we need to first identify the total number of red 150-page notebooks sold and then divide that by the total number of notebooks sold.

From the table, we can see that 53 red 150-page notebooks were sold. The total number of notebooks sold is 386.

The experimental probability is therefore the ratio of red 150-page notebooks sold to the total number of notebooks sold:

Probability = (Number of red 150-page notebooks) / (Total number of notebooks)
Probability = 53 / 386

The simplified fraction for the experimental probability is 53/386 or 13.73%.

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There are 616 freshmen in the school according to fraction, percentage and number of different types of student.

Let us represent the total number of students in school as x. So, the equation that will form is -

Number of freshmen + sophomores + juniors + seniors = total number of students

35x/100 + x/4 + 9x/40 + 308 = x

Adding the values and converting into decimal.

0.825x + 308 = x

Rewrite the equation

308 = (1 - 0.825)x

308 = 0.175x

x = 308/0.175

Divide the values

x = 1760

So, number of freshmen = 0.35 × 1760

Multiply the numbers

Number of freshmen = 616

Thus, there are 616 freshmen.

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PJ's design is best described as a randomized controlled trial (RCT), which is a type of experimental study that randomly assigns participants to a control group or an intervention group.

In this case, the control group did not receive the soft music during high stakes science testing, while the intervention group did. By administering both a pretest and a posttest, PJ was able to measure any differences in performance between the two groups. The use of randomization helps to ensure that any differences observed between the groups can be attributed to the intervention (soft music) rather than to other factors that may have influenced the results. Overall, PJ's RCT design is a rigorous way to test the effects of a specific intervention on a particular outcome.

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Answer:

Step-by-step explanation:

To calculate the percentage of Ryann’s total debt that is included in the bankruptcy, you can divide the amount of debt included in the bankruptcy by the total debt and then multiply by 100.

So, the calculation would be: ($10,148.22 / $112,758.00) * 100 = 9%.

This means that 9% of Ryann’s total debt is included in the bankruptcy.

First, we need to convert the mixed number 2 3/8 to an improper fraction:

2 3/8 = (2 x 8 + 3) / 8 = 19/8

To find out how many times Craig needs to fill a 1/3 cup measuring cup, we can divide 19/8 by 1/3:

(19/8) / (1/3) = (19/8) x (3/1) = 57/8

Therefore, Craig needs to fill a 1/3 cup measuring cup 57/8 times to measure 2 3/8 cups.

The y-intercept of the graph is: C. "the temperature in degrees Fahrenheit when the temperature is zero degrees Celsius."

In mathematical terms, the y-intercept is the point where a line or curve intersects the y-axis on a coordinate plane.

In practical terms, the y-intercept of a situation often represents the starting point or initial value of a variable or function.

In the graph given above that shows the relationship between temperature in degrees Fahrenheit and degrees Celsius, the y-intercept is 32 degrees Fahrenheit, which means: C. "the temperature in degrees Fahrenheit when the temperature is zero degrees Celsius."

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Average speed going to work is 50 mph.

Let's assume that the average speed going to work is "x" miles per hour.

Since you can travel to work in the same time it takes for you to make it 28 miles on the trip back home, we can set up an equation using the formula:

time = distance / speed

The time it takes to travel 35 miles to work is:

time to work = 35 / x

The time it takes to travel 28 miles on the return trip is:

time to return = 28 / (x - 10)

We know that both times are equal, so we can set them equal to each other and solve for "x":

[tex]35 / x = 28 / (x - 10)[/tex]

Multiplying both sides by x(x - 10), we get:

[tex]35(x - 10) = 28x[/tex]

Expanding the left side and simplifying, we get:

[tex]35x - 350 = 28x[/tex]

[tex]7x = 35[/tex]

[tex]x = 50[/tex]

Therefore, your average speed going to work is 50 miles per hour.

To solve this problem, we used the formula for speed, distance, and time. We t up an equation using the fact that the time it takes to travel to work is equal to the time it takes to travel 28 miles on the return trip. We then solved for the average speed going to work by setting the two times equal to each other and solving for "x". Finally, we found that the average speed going to work is 50 miles per hour.

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The area of a rectangle can be used to find triangle, rhombus and parallelogram since the shapes are related to one another

The area of a rectangle can be used to determine the area of a triangle, rhombus and parallelogram because these figures are somewhat similar to a rectangle.

When we join two triangles together at opposite end or we cut transversally between a rectangle from the diagonal, we would have two triangle.

When a rhombus is split across it's diagonal, it will produce two congruent triangles.

When a parallelogram is divided across it's diagonals, it produces two congruent triangles.

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The cost of a Powerade is $0.75 if 2 bags of chips and 2 Powerades cost $3.50 and one bag of chips and 3 Powerades cost $3.75.

Let the cost of one Powerade be x

The cost of one bag of chips be y

Cost of 2 bags of chips and 2 Powerades = $3.50

Cost of 2 bags of chips = 2y

Cost of 2 Powerades = 2x

2x + 2y = 3.50 ----(i)

Cost of one bag of chips and 3 Powerades= $3.75

Cost of 1 bag of chips = y

Cost of 3 Powerades = 3x

x + 3y = 3.75

Multiply the above equation by 2

2x + 6y = 7.50 -----(ii)

Subtract (ii) and (i)

4y = 4

y = $1

The cost of one bag of chips is $1

x + 3 = 3.75

x = $0.75

The cost of one Powerade is $0.75

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The quality of a manga is subjective and it varies from person to person.

Quality of a manga is depending on their interests, preferences, and tastes.

Therefore,If anything favourite of one person that not mean another person also like the thing.

Manga ratings can be found on various online platforms such as MyAnimeList, MangaUpdates and Goodreads.

These all websites have a community of users who rate and review manga based on their own opinions and experiences.

If we want to get a rating for our favorite manga,

We can try posting your question on manga-related forums, social media groups, or other online communities where manga enthusiasts gather.

We can also ask your friends who are into manga to share their thoughts on the series we like.

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The volume of prism is 75.6 [tex]in^3[/tex]. The correct answer is option d,

We are given that the rectangle represents the base of a right rectangular prism and the height of the prism is 6 inches. To find the volume of the prism, we need to multiply the area of the rectangle by the height.

The area of the rectangle can be found by multiplying its length and width. However, we are not given any specific values for the length and width of the rectangle. Therefore, we cannot directly calculate its area.

Since we are given answer choices, we can use them to check which option gives the correct volume of the prism. We can start by assuming that the length, width, and height of the prism are integers, and then calculate the volume for each option until we find the one that matches.

Option a: 87.9 in^3 - This is not an integer, so we can eliminate this option.

Option b: 105.8 in^3 - This is not an integer, so we can eliminate this option.

Option c: 12.6 in^3 - This is too small, so we can eliminate this option.

Option d: 75.6 in^3 - To check if this is the correct answer, we can calculate the area of the rectangle by dividing the volume by the height.

Volume of the prism = area of rectangle x height

75.6 in^3 = (length x width) x 6 in

Length x width = 12.6 in^2

Now, we need to find two integers whose product is 12.6 in^2 and whose sum is 16 in (since the rectangle represents the base of a right rectangular prism). After some trial and error, we find that 3.15 in and 4 in satisfy these conditions.

Therefore, the length of the rectangle is 4 inches and the width is 3.15 inches.

Now, we can calculate the area of the rectangle by multiplying its length and width:

Area of rectangle = length x width = 4 in x 3.15 in = 12.6 in^2

Finally, we can calculate the volume of the prism:

Volume of prism = area of rectangle x height = 12.6 in^2 x 6 in = 75.6 in^3

Therefore, the correct answer is option d, 75.6 [tex]in^3[/tex].

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Answer: Z=21, Y=9, X=1

Step-by-step explanation:

Z---------

Since 3z and 63 are equal angles, then 3z must equal 63 as well. So 3 times what is 63? 3 times 21. Z=21.

X------1

2 times 1 is 2.

3 times 1 is 3. 3-1 is 2.

x=1

Y----

Same concept as Z. Since the length 13 and Y+4 are equal sides (definition of the kite figure I forget the proper name) then 13-4 is your answer. 9.

8. Patricia uses 600 milliliters of water each time she waters her vegetable garden. The correct option is A © 600 mL.

9. 4-5 =-1

For first question:

8. A watering can holds 3 liters of water, and Patricia waters her vegetable garden 5 times a day using one full can in total. To find out how many milliliters of water she uses each time, you need to first convert the 3 liters to milliliters (1 liter = 1,000 milliliters) and then divide by 5.

3 liters × 1,000 milliliters/liter = 3,000 milliliters
3,000 milliliters ÷ 5 = 600 milliliters

So, Patricia uses 600 milliliters of water each time she waters her vegetable garden. The correct answer is 600 mL.

9. For second question, the calculation is as follows:

4 - 5 = -1

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The percent discount on the phone because of a sale is 45%.

To find the percent discount, we need to calculate the difference between the original price and the discounted price, and then express that difference as a percentage of the original price.

First, let's find the difference between the two prices: $28 - $15.40 = $12.60. This means that Benjamin saved $12.60 on the phone.

Now, let's find the percent discount. We can do this by dividing the savings by the original price, and then multiplying the result by 100: ($12.60 / $28) * 100 = 45%.

So, Benjamin received a 45% discount on the phone before tax. This calculation shows that the sale allowed him to save a significant amount on his purchase. It's important to compare original and discounted prices to determine if a sale provides good value.

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The value of m∠Q as shown in the right-angled triangle below is 62.59°.

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.

To calculate the value of m∠Q, we use the formula below

Formula:

Where:

Substitute these values into equation 1

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The value of the calculated percent markup of the shirt is 11.1%

From the question, we have the following parameters that can be used in our computation:

A department store buys 200 shirts at a cost of ​$ 3600 and sells them at a selling price of ​$ 20 each.

This means that

Cost price = 3600/200

Evaluate

Cost price = 18

The percent markup of the shirt is then calculated as

Percentage = (20 - 18)/18

Evaluate

Percentage = 11.1%

Hence, the percent markup of the shirt is11.1%

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The markup on retail is 47%. The correct option is c.

he markup on retail price is calculated to determine the percentage increase from the wholesale price to the retail price. In this case, the wholesale price is $17 and the retail price is $25. By subtracting the wholesale price from the retail price ($25 - $17),

we find that the markup is $8. Dividing this markup by the wholesale price ($8 / $17) gives us a ratio. Multiplying this ratio by 100 converts it to a percentage, which is approximately 47.06%.

This means that the retail price is approximately 47% higher than the wholesale price. Option c, 47%, correctly represents the calculated markup on the retail price.

Therefore, the markup on retail is 47%, so the answer is (c).

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Answer:

Function A: f(x) = -8^x

Function B: f(x) = 2^x

Function A has a greater horizontal asymptote. As x approaches negative infinity, Function A approaches y = 0 faster than Function B.

The value of A, B and C from the given equation are 0, 0 and 6 respectively.

The given equation is y=x²+x.

Here, the table is

X   -2 -1   0  1  2

Y    2  A  B  2 C

When x=-1

y=(-1)²-1

y=0

So, A=0

When x=0

y=(0)²+0

y=0

So, B=0

When x=2

y=(2)²+2

y=6

So, C=6

Therefore, the value of A, B and C are 0, 0 and 6 respectively.

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The scale factor of Winston's drawing of the elementary school is 0.008. The scale factor represents the relationship between the measurements on the drawing and the corresponding actual measurements.

To find the scale factor of Winston's drawing that has a scale of 8 centimeters = 10 meters,

So, the scale factor of Winston's drawing of the elementary school is 0.008.

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Answer:

Step-by-step explanation:

git

Answer:

$2,240

Step-by-step explanation:

1400×3=4,200

4200×20=84,000

84,000÷100=840

840+1400=2,240

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