If you invested $4,500 for 8 months at an interest rate of 2.75%, how much interest would you earn?

Answers

Answer 1

Given the money invested and the interest rate, the value of the interest earned after 8 months is $82.50.

What is the value of the Interest?

From the equation of simple interest; I = PRT

Given that;

Principal P = $4,500Interest rate R = 2.75% = 2.75/100 = 0.0275Time T = 8 months = 8/12 yearsInterest I = ?

I = PRT

I = $4,500 × 0.0275 × 8/12

I = $82.50

Given the money invested and the interest rate, the value of the interest earned after 8 months is $82.50.

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Related Questions

HELPPP

Instructional Item I
A research group is trying to determine how many alligators are in a particular area. They
tagged 30 alligators and released them. Later, they counted 12 alligators who were tagged out
of the 150 they saw. What can the research group estimate is the total population of alligators
in that area?
Instructional Item 2
The local grocery store is going to donate milk and cookies to an upcoming middle school
event. They surveyed 150 students in the school to determine which type of milk they prefer
and recorded the results below.
Cow's Milk Soy Milk
82
25
Almond Milk
43
If there are 950 students in the school, how much soy milk should the store plan to donate?

Answers

The total population of alligators will be 375.

The amount of soy milk that the grocery store should plan to donate is: 158.

How to calculate the total population of alligators in the area

To calculate the total population of alligators in the area, we will assign the following variables:

30 Tagged alligators = m

12 Counted alligators = k

150 alligators seen = n

The total population size (N bar) of alligators is calculated with the formula:

N bar = mn/k

= 30 * 150/12

= 4500/12

375

For the amount of soy milk, we can say that if 25 out of 150 students preferred soy milk, then the number that would prefer soy milk out of 950 will be: 950 * 25/150 = 158.

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Directions: Transformations from the parent function y = x² are described
below. Write an equation to represent the function.
13, translated 2 units right
14. translated 5 units up
15. translated 3 units left and 4 units
down
17. reflected over the x-axis, then
translated 3 units down
16. translated 7 units right and 4
units up
18. reflected over the x-axis, then
translated 5 units right and 2 units
down
19. vertically compressed by a factor 20. vertically stretched by a factor
of 1/3, then translated 8 units up
of 2, reflected over the x-axis,
then translated 4 units left

Answers

The result of the transformation of the parent function y = x² are;

13. y =  (x - 2)²

14. y = x² + 5

15. y = (x + 3)² - 4

16. y = (x - 7)² + 4

17. y = -(x²) - 3

18. y = -(x - 5)² - 2

19. y = (1/2)x²

20.  y = (3x²) + 8

What are the results of the transformations?

The transformations on the parent function y = x² can be described as;

13. Translated 2 units right:

The equation will be y = (x - 2)²

14. Translated 5 units up:

The equation will be y = x² + 5

15. Translated 3 units left and 4 units down:

The equation will be y = (x + 3)² - 4

16. Translated 7 units right and 4 units up:

The equation will be y = (x - 7)² + 4

17. Reflected over the x-axis, then translated 3 units down:

The equation will be y = -(x²) - 3

18. Reflected over the x-axis, then translated 5 units right and 2 units down:

The equation will be y = -(x - 5)² - 2

19. Vertically compressed by a factor of 2:

The equation will be y = (1/2)x²

20. Vertically stretched by a factor of 1/3, then translated 8 units up:

The equation will be y = (3x²) + 8

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what is the probability of spinning a blue, then green

Answers

The probability of getting Blue then Green while spinning the wheel is

3 / 32

Probability is a branch of mathematics that helps us to understand the likelihood of an event occurring. It is represented by a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain. Probability can be used to make predictions and informed decisions in real-world situations.

From the given figure we can find out the following information

The probability of getting Blue While spinning the wheel = 3/8

The probability of getting Green While spinning the Wheel = 2 / 8

The probability of getting Blue then Green while spinning the wheel

= 3/8 * 2/8

= 6/64

= 3/32

Therefore, probability of getting Blue then Green while spinning the wheel is 3 / 32

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What is the value of x in the given triangle, in inches?

Answers

The numerical value of side length x in the right triangle is 8.

What is the numerical value of x?

The figures in the image are two similar right triagles.

Since the two right triangles are similar, we equate the ratio of the sides of the two triangles.

x/6 = (x + 4)/9

Cross multiply and solve for x:

6( x + 4 ) = x × 9

Apply distributive property:

6 × x + 6 × 4 = x × 9

Simplifying, we get:

6x + 24 = 9x

Subtract 6x from both sides:

6x - 6x + 24 = 9x - 6x

24 = 9x - 6x

24 = 3x

3x = 24

Divide both sides by 3:

x = 24/3

x = 8

Therefore, the value of 8.

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There is a multiple choice quiz with six questions and five possible answers and only one choice is correct what is the probability you get your first and only incorrect answer on the fourth question?n

Answers

Answer:1/1875

Step-by-step explanation:

the probability of getting any one question correct is 1/5, and the probability of getting any one question incorrect is 4/5.

The probability of getting the first three questions correct and the fourth question incorrect can be calculated as follows:

(1/5) * (1/5) * (1/5) * (4/5) = 4/3125

Since there are six possible positions for the incorrect answer to occur (first, second, third, fourth, fifth, or sixth), the probability of getting the first and only incorrect answer on the fourth question is 4/3125 * 1/6 = 1/1875.

8 cosθ-1=0 to the nearest 0.1°

Answers

Answer:

82.8°

Step-by-step explanation:

We can solve for θ by first isolating cosθ:

8 cosθ - 1 = 0

8 cosθ = 1

cosθ = 1/8

We can find the inverse cosine of 1/8:

θ = cos⁻¹(1/8) = 82.8191°

Rounding to the nearest 0.1°, we get:

θ ≈ 82.8°

1. An isosceles triangle has a base with a length of 14 inches and base angles that measure 68° each. Which
expression below correctly calculates the area of this isosceles triangle?
(1) 7²-tan (68°)
(2) 14²-sin (68°)
(3) 7²-cos (68°)
(4) 14-7-sin (68°)

Answers

None of the given expressions (1), (2), (3), or (4) correctly calculates the area of the isosceles triangle. The correct expression is (1/2) * 14 * (7 * tan(44°)).

To calculate the area of an isosceles triangle, we need the base length and the height of the triangle. In this case, the base length is given as 14 inches, but the height is not provided.

However, we can use trigonometry to find the height of the triangle by using one of the base angles. Since the triangle is isosceles and the base angles are each 68°, we know that the remaining angle (at the top of the triangle) is 180° - 68° - 68° = 44°.

We can then use the trigonometric function tangent (tan) to find the height. The formula is: tan(angle) = opposite/adjacent.

tan(44°) = height/7, where 7 represents half of the base length.

Rearranging the equation, we have: height = 7 * tan(44°).

Now, we can calculate the area of the triangle using the formula: area = (1/2) * base * height.

Substituting the given values, we get:area = (1/2) * 14 * (7 * tan(44°)).

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There are 1000 students at a college. In January, æ of these students had passed
their driving test.
Between January and April, the number of students who had passed their driving
test increased by 20%, and the number of students who had not passed
decreased by 5%. No one left or joined the college during this time.
a) Explain why the number of students who had not passed their driving test yet
was 0.95(1000 - x) in April.
b) Hence explain why 1.2x +0.95(1000-x) = 1000.
c) How many students had passed their driving test in January?

Answers

a) In April, the number of students who had not passed their driving test decreased by 5%.

b) The equation is 1.2x + 0.95(1000 - x) = 1000.

c) 200 students passed their driving test in January.

a) At the beginning, of January, x students had passed their driving test, then the remaining number of students who had not passed their driving test was (1000 - x).

In April, the number of students who had not passed their driving test decreased by 5%, which means the remaining number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

b)

The number of students who had passed their driving test increased by 20%, which means the new number of students who passed their driving test is 1.2 times the original number (x).

The number of students who had not passed their driving test decreased by 5%, which means the new number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

Therefore, we can write the equation 1.2x + 0.95(1000 - x) = 1000.

c) We can solve for x in the equation 1.2x + 0.95(1000 - x) = 1000.

Expanding the equation, we get:

1.2x + 950 - 0.95x = 1000

0.25x = 50

x = 200

Therefore, 200 students passed their driving test in January.

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Students measured the length of several pencils and recorded their data in a table.

Pencil Lengths (Inches)

3 7/8, 5 1/4, 4, 6 1/8, 4 1/2, 5 1/4, 3 1/2, 5 3/8, 4 3/4, 5

The students will make a line plot of the data. They will use only one fraction in their scale. They must be
able to plot all of the data above a label. Which should this fraction be?
A. tenths
B. eighths
C. fourths
D. halves

Answers

The required, the students use eighths as their scale, they will be able to plot all of the data points above the label. Option B is correct.

To make a line plot, the students will mark a number line with a scale that includes all the data points. Since the given data includes fractions with denominators of 2, 4, and 8, it would be best to choose a fraction that is a factor of all of these denominators. The only option that satisfies this condition is B. eighths.

To see why, note that 1/8 is a factor of 1/2 (4/8), 1/4 (2/8), and 1/8 (1/8). Therefore, if the students use eighths as their scale, they will be able to plot all of the data points above the label. Using any other fraction would require rounding some of the data points, which could lead to a loss of information.

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Suppose that a safety deposit box at your bank costs $45/month to rent. How much would
it cost for you to rent the box for 15 years?

Answers

Answer: 8100

Explanation: Since it costs 45 dollars to rent each month you would multiply that by 12 which is how many months there are in a year. After calculating that you would get 540 dollars. When you get the number 540 you would multiply that by 15 which would make you end up with the number 8100.

(05.03 MC)
A regular heptagon with 7 sides is inscribed in a circle with radius 8 millimeters. What is the area of
the figure? (3 points)
O 25.019 mm.2
O 150.112 mm.2
O 175.130 mm.²
205.639 mm.2

Answers

Answer:

i think 25.019mm2 is the correct answerrrrrrrr.

Answer:

175.130 mm^2

Step-by-step explanation:

Took the test.

Is the inverse of the function shown below also a
function? Explain your answer.
DONE ✔
AY
y
4

Answers

We can see here that it is true that the inverse of the function shown is also a function. This is true because the graph of the inverse of the function shown by reflecting the red graph about the line y = x.  

What is a function?

A function in mathematics is a unique connection between a group of inputs and their results. A function is a rule that specifically assigns one element from another set to each element in a set.

The set of inputs is referred to as the function's domain, while the set of outputs is referred to as the function's codomain.

From the given graph, we can deduce that the resulting graph is true for all x values and for all y values; it passes the vertical line test.

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help me pleaseeeeeeeeeeeeeeee

Answers

I believe it is 160 m/min !

ANSWER ASAP!! (GIVING BRAINLIEST IF CORRECT!!)

A basketball player guesses her team will score 54 points during the game. The player's team actually scores 60 points.

What is the percent error in the player's guess?

A: 5%

B: 10%

C: 12%

D: 15%

Answers

Answer:

6 divide by 60 into 100

Step-by-step explanation:

is 10

In triunghiul ABC ,A este de 75 grade si B este de 45 grade. Daca AD perpendicular BC, D apartine BC si BE perpendicular AC, E apartine AC iar AB=12 Radical din 6 cm calculati lungimile AD si BE si Perimetrul ABC

Answers

Answer:

just start scamming

Step-by-step explanation:

determine whether the function represents exponential growth or exponential decay
y=3(1.88)

Answers

Answer:

Exponential Growth

Step-by-step explanation:

The base of 1.88 is greater than 1, so there will be exponential growth

What is the missing step in solving the inequality 4(x-3) + 4 ≤ 10+ 6x?
1. The distributive property: 4x-12 + 4 ≤ 10+ 6x
2. Combine like terms: 4x -8 ≤ 10+ 6x
3. The addition property of inequality: 4x ≤ 18 + 6x
4. The subtraction property of inequality: -2x ≤ 18
5. The division property of inequality:
O x≤-9
O x≥-9
0 x≤ - 1/2
0 x>-1

Answers

The value of inequality :  x≤-9

Given,

Inequality 4(x-3) + 4 ≤ 10+ 6x

Firstly,

The distributive property: 4x-12 + 4 ≤ 10+ 6x

Then,

Combine like terms: 4x -8 ≤ 10+ 6x

Then,

The addition property of inequality: 4x ≤ 18 + 6x

Then,

The subtraction property of inequality: -2x ≤ 18

Then,

The division property of inequality:

Divide both sides of inequality by 2,

So,

x≤-9

Hence after last step the value of x is less than or equal to -9 .

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Los estudiantes de la escuela organizan reuniones del equipo verde para planear maneras de proteger el medioambiente. Esta semana hay 144 miembros en la reunión, que es ek 90% del total del grupo

¿Cuál es el número total de miembros en el equipo verde?

Answers

If this week there are 144 members at the meeting, which is 90% of the total group, the total number of members on the green team is 160.

If 144 members represent 90% of the total group, we can set up the equation:

144 = 0.9x

where x is the total number of members on the green team.

To solve for x, we can divide both sides of the equation by 0.9:

144 ÷ 0.9 = x

This simplifies to:

160 = x

To check our answer, we can verify that 144 is indeed 90% of 160:

144 ÷ 160 = 0.9

which confirms that our answer is correct.

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2. Find the amount of tax owed: commercial property valued at $340,000.00; assessed at 25%; taxed at $14.00 per hundred
dollars worth of property.

Answers

Answer:

55.0ml is answer = 22.05

Step-by-step explanation:

Pierre produces wedges of aged cheddar cheese and sells them for $12 each. The table below shows the labor productivity
forPierre's cheese-making business. Fill in the missing values. Assume this is a perfectly competitive market.
Instructions: Round your answers to one decimal place.
Pierre's Cheese Business and Revenues

Labor
0
2
4
6
8
10
12
14

Total Product (wedges
of cheese)
(workers)
0
———
48
66
82
———
———
114
Marginal Product
(wedges of cheese)
/
12
——-
9
——-
7
5
4
Price
(dollars)
$12
12
12
12
12
12
12
12
Total Revenue
(dollars)
$0
288
———
792
984
———
1,272
———
Marginal Revenue
Product (dollars)
/
———
144
108
———
84
———
48

Answers

Answer: To fill in the missing values, we can use the formulas for marginal product and marginal revenue product:

Marginal Product = Change in Total Product / Change in Labor

Marginal Revenue Product = Price x Marginal Product

Using the given information, we can fill in the missing values as follows:

Labor Total Product Marginal Product Price Total Revenue Marginal Revenue Product

0 0 - $12 $0 -

2 48 24 $12 $288 $288

4 66 9 $12 $792 $108

6 82 7 $12 $984 $84

8 96 5 $12 $1,152 $60

10 114 9 $12 $1,368 $108

12 132 9 $12 $1,584 $108

14 150 9 $12 $1,800 $108

So the missing values are:

Total Product for labor = 0 and 14: 0 and 150, respectively.

Marginal Product for labor = 0, 8, and 14: -, 5, and 9, respectively.

Total Revenue for labor = 4, 6, and 8: $792, $984, and $1,152, respectively.

Marginal Revenue Product for labor = 0, 4, and 6: -, $84, and $60, respectively.

Step-by-step explanation: :)

Pablo mixed 2 1/2 quarts of fruit juice with 1 gallon of seltzer. If each serving is 8 fluid ounces, how many servings did Pablo make?
A. 20
B. 26
C. 32
D. 36

Answers

The answer is b. For the question

The length of timber cuts are normally distributed with a mean of 95 inches and a standard
deviation of 0.52 inches. In a random sample of 30 boards, what is the probability that the
mean of the sample will be between 94.7 inches and 95.3 inches?


O 0.998
O 0.436
O 0.002
O 0.950

Answers

The probability that the mean of the sample will be between 94.7 inches and 95.3 inches is approximately 0.436.

How to find the probability that the mean of the sample will be between 94.7 inches and 95.3 inches

Using the Central Limit Theorem.

The Central Limit Theorem states that for a large enough sample size, the distribution of sample means will be approximately normally distributed, regardless of the shape of the population distribution. In this case, we have a sample size of 30, which is considered large enough for the Central Limit Theorem to apply.

Calculate the standard error of the mean (SEM):

SEM = σ / √n

SEM = 0.52 / √30

SEM ≈ 0.095

Calculate the z-scores for the lower and upper limits:

z1 = (94.7 - μ) / SEM

z2 = (95.3 - μ) / SEM

z1 = (94.7 - 95) / 0.095 ≈ -0.526

z2 = (95.3 - 95) / 0.095 ≈ 0.316

Find the area under the normal distribution curve between the z-scores using a standard normal distribution table or a calculator. The area represents the probability.

Using a standard normal distribution table or a calculator, the area between -0.526 and 0.316 is approximately 0.436.

Therefore, the probability that the mean of the sample will be between 94.7 inches and 95.3 inches is approximately 0.436.

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Be sure to round the mileage to nearest whole mile

Answers

The miles you drive must be greater than or equal to 183 miles in order for Plan B to save you money.

How to define a linear function?

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

m is the slope.b is the intercept.

For the mileages, we have that:

The slope is the cost per mile.The intercept is the daily cost.

Hence the functions are given as follows:

Plan A: A(x) = 30 + 0.14x.Plan B: B(x) = 50.

Cost B is the better plan when:

A(x) > B(x)

Hence:

30 + 0.14x > 50

0.14x > 20

x > 20/0.14

x > 142.9 miles -> rounded to 143.

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A triangle has sides with lengths of 13 meters, 18 meters, and 8 meters. Is it a right triangle?

Answers

Answer:

The Pythagorean Theorem describes the relationship among the three sides of a right triangle

[tex]a^{2} +b^{2} = c^{2} \\8^2+13^2=c^2=208 \\\sqrt{208}=14.4\\ 14.4 \neq 18[/tex]--> not a right triangle

A total of $48,000 is invested in two municipal bonds that pay 4.25% and 5.75% simple interest. The investor wants an annual interest income of $2400 from the investments. What amount should be invested in the 4.25% bond

Answers

The amount invested in the 4.25% bond should be $16,000.

A student scored 80% on a test. If the test had 50 questions worth one point each, how many questions did the student answer correctly?​

Answers

Answer:

40

Step-by-step explanation:

All questions are worth the same, 1 point each.

80% of 50 = 0.8 × 50 = 40

Answer: 40

Answer:

40

Step-by-step explanation:

80/100*50 = 40

Use the Law of Sines to solve (if possible) the triangle: A = 25° 4', a = 9.5, b = 22? Round answer to two decimal places.​

Answers

The measure of the angle B of the triangle is 78.15 degrees

How to determine the possible solutions from the triangle

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

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

sin(A)/a = sin(B)/b

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

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Find the surface area and volume of the for fire. Round to the nearest tenth

Answers

The surface area and the volume of the cone is 150.8 in², 116. 1in³. option A

How to determine the values

The formula for calculating the surface area of a cone is expressed as;

SA = πr² + πrl

Such that the parameters are;

r is the radius l is the length

Substitute the values, we have;

Surface area= 3.14 × 16 = 3.14 × 4 × 8

Multiply the values

Surface area = 50.24 + 100.48

Add the values

Surface area = 150.8 in²

Volume of the cone is;

Volume = 3.14 × 4² × 6.9/3

Volume = 3.14 × 16 × 6.9/3

Volume =116. 1in³

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How much less would Maria have to spend to have $70 per month available for saving?

A. $45.95

B. $75.95

C. $25.95

D. $24.05

Answers

Maria have to spend $ 45.95 less than what she spends now in order to save $ 70 per month.

Hence the correct option is (A).

From the given Maria's Income Statement we can see that,

Her total income from Fast food Restaurant = Gross Pay + Allowance = $ 580 + $ 50 = $ 630.

Total deductions by taxation = Federal Income Tax + State Income Tax + Social Security Tax = $ 58 + $ 16 + $ 24.36 = $ 98.36

So here net income = $ (630 - 98.36) = $ 531.64.

Here total expenses = Auto + Clothing + Food + Entertainment + Other = $ 290.02 + $ 92.29 + $90.28 + $ 32 + $ 3 = $ 507.59

So Her Savings = Net Income - Total Expenses = $ 531.64 - $ 507.59 = $ 24.05.

Now in order to save $ 70 per month Maria has to spend = $ 70 - $ 24.05 = $45.95 less than she spend now.

Hence the correct option will be (A).

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What are the first five terms of the sequence a_{n} = - 11 * (1/2) ^ (n - 1)

A) -11, - 11/2 - 11/4 - 11/8 - 11/16

B) -11/2 - 11/4 - 11/16 - 11/32 - 11/8

C) -11, 5, - 9/4 - 4/3 - 7/8

D) -11, - 11/2 - 11/3 - 11/4 - 11/5

Answers

All the first five terms of sequence are,

A) -11, - 11/2 - 11/4 - 11/8 - 11/16

We have to given that;

Rule for sequence is,

⇒ a (n) = - 11 × (1/2)ⁿ⁻¹

Now, WE can find first five terms of sequence as;

⇒ a (n) = - 11 × (1/2)ⁿ⁻¹

Put n = 1;

⇒ a (1) = - 11 × (1/2)¹⁻¹

⇒ a (1) = - 11

Put n = 2;

⇒ a (n) = - 11 × (1/2)ⁿ⁻¹

⇒ a (2) = - 11 × (1/2)²⁻¹

⇒ a (2) = - 11 × (1/2)¹

⇒ a (2) = - 11 / 2

Put n = 3;

⇒ a (n) = - 11 × (1/2)ⁿ⁻¹

⇒ a (3) = - 11 × (1/2)³⁻¹

⇒ a (3) = - 11 × (1/4)

⇒ a (3) = - 11 / 4

Put n = 4;

⇒ a (n) = - 11 × (1/2)ⁿ⁻¹

⇒ a (4) = - 11 × (1/2)⁴⁻¹

⇒ a (4) = - 11 × (1/2)³

⇒ a (4) = - 11 / 8

Put n = 5;

⇒ a (n) = - 11 × (1/2)ⁿ⁻¹

⇒ a (5) = - 11 × (1/2)⁵⁻¹

⇒ a (5) = - 11 × (1/2)⁴

⇒ a (5) = - 11 / 16

Thus, All the first five terms of sequence are,

A) -11, - 11/2 - 11/4 - 11/8 - 11/16

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indeed examine the graph below which group is most likely ot have been influenced by the ad campaign What can you infer about Ivan from his statement that his home is not a domain Its a cage (a bad dream Russia was originally formed by a mixture of which two cultures? Which sentences must be revised to correct vague pronouns? Choose three answers.They say strange things happen during a full moon.Phil visited Uncle James shortly after his vacation.I talked to my teacher and she agreed to postpone the exam.After her accident, Julie helped Lian fix her broken-down bike.We took Grandma to the museum to celebrate her recovery.Before Tara's recital, Jemma wished her good luck. What is the simplified form of tan (pi4-x) Evaluate the following expression by applying the appropriate properties (24) 3 (31.7)/ 172 b) Jos Luis conecta la agenda electrnica que le comunica que tieneexamen de ingls. Throughout the play, romeo and juliet struggle with whose family they really belong to. true or false class Main { static void printPowers(int howMany, int nrRows) { int n=1; while(n Why do you think slave owners prevented enslaved people from gathering in large group? Which scenario would be classified as a conceptual model?A. A student thinks of bouncing balls as representing gas molecules.B. Marshmallows and toothpicks are used to show the compositionof a water molecule.C. A map and a map scale are used to represent a larger area of land.D. A weather map shows different temperatures over most of theUnited States. Which of the following terms completes the sentence below?A sign chart helps you record data about a function's values around itsandasymptotes. To implement a policy of empowerment, the organization will restructure so that: In general, which solvent should be used to wash the solid material collected from a filtration? When the ground position of a front moves so that warm air occupies territory that was previously held by cold air, what type of front is it? Important reasons to become a competent public speaker include Directions: Choose the correct revision of the sentence below.My mother was a big fan of the TV series Star Trek The Next GenerationSelect one:Oa. My mother was a big fan of the TV series Star Trek, The Next GenerationO b. My mother was a big fan of the TV series Star Trek: The Next GenerationOc. My mother was a big fan of the TV series Star Trek/The Next Generation 022 A. Find the unit vector in the direction of F 2+3j+4k B. Find the distance between F1 = 3i+2j+ 5k and F2 = 3i +4j +5k C Find the component of each directed line segment whose initial point contains p, and the terminal point P i.) P, (3,2,2), P(3,-2,-3) ii.) P(2,-3,-6), P3(-3,3,2) Sofa co is selling sofas with a 33% discount off the original price to reduce its stock. Calculate the discounted price of a sofa originally selling for 999.00. Please show your working. 5. Where is the graph increasing?