Mr. Bakie wants to use the interest from his High Savings Account to buy his next TV. The TV will cost $900. He would like his investment to grow over for two and a half years. If he has a rate of 3.5%, how much will he need to invest in order to cover the cost of the TV?

The values of sin2x, cos2x and tan2x is -3/5, -4/5 and 3/4 respectively.

What is sine function?

The ratio of the opposite side's length to the hypotenuse of a right-angled triangle is known as the sine function in trigonometry. A right triangle's unknown sides or angles can be determined using the sine function. The ratio of the side opposite the angle (also known as the perpendicular) and the hypotenuse is known as the sine of an angle in a right-angled triangle.

The ratio of the perpendicular of a right-angled triangle to the hypotenuse is known as the sine of the angle. The following is the sin formula: sin = Perpendicular / Hypotenuse.

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The type of interference is this :

Comparing proportions from 2 independent samples

Given,

In the question:

Complete question is this:

Do upperclassmen (Seniors and Juniors) spend more money on alcoholic beverages then underclassmen (Freshman and Sophomores)? What type of inference is this?

a. Comparing proportions from 2 independent samples

b. One proportion

c. Comparing means from dependent samples

d. Comparing means from 2 independent samples

e. Comparing proportions from dependent samples

f. One mean

Now, According to the question:

Hence, The type of interference is this :

a. Comparing proportions from 2 independent samples

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The size of the subculture or group under studied determines the sampling size in ethnography. In this regard, it might not be possible to predetermine the participant count. The complete subculture or group being studied serves as the study sample size in anthropological research.

The non-random sample that best resembles stratified random sampling is quota sampling.

Using the non-probability sampling technique of quota sampling, researchers select a sample of people who are typical of the population. These people are chosen by researchers based on specific traits or qualities. In order to use market research samples for data collecting, they decide on and set sample quotas. These samples accurately reflect the entire population. The interviewer's or researcher's knowledge of the population will be the only factor used to select the final subgroup.

Probability sampling means that every member of the population has a chance of being selected.

There are four main types of probability sample.

Simple random sampling.

Systematic sampling.

Stratified sampling.

Cluster sampling.

For instance, a tobacco company would want to know which age group in a given city loves which brand of smokes. The age groups of 21–30, 31–40, 41–50, and 51+ are subject to survey quotas. Based on these findings, the researcher makes an estimation of the smoking trend in the city's inhabitants.

Therefore,

The size of the subculture or group under studied determines the sampling size in ethnography. In this regard, it might not be possible to predetermine the participant count. The complete subculture or group being studied serves as the study sample size in anthropological research.

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When gathering data through a survey, companies can save money by surveying 100% of a population. False

Survey an activity in which many people are asked a question or a series of questions in order to gather information about what most people do or think about something.

Survey research has historically included large population-based data collection. The primary purpose of this type of survey research was to obtain information describing characteristics of a large sample of individuals of interest relatively quickly.

Therefore when gathering data through survey there is not 100% sure that companies can make alot of save.

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Answer: y^7 - 8

Step-by-step explanation:

It is an algebra equation. It can't be factor or solve further!

The required slopes of the line are as follows,
(a) y = 12, the slope is m = 0,
(b) x = -13, the slope is not defined.
(c) -6y = -2x + 30, the slope is positive, m = 1 / 3.
(d) 3x + 5y =15, the slope is negative, m=  -3/5.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
(a)
y = 12

Comparing the above expression with the standard equation of line y = mx + c,
From comparison,
mx = 0
m = 0

(b)
x = -13,
x + 13 = 0
Comparing the above expression with the standard equation of line y = mx + c,
From comparison,
mx = 1 / 0     (because the equation does not contain the term y)
m =  not defined.

Similarly,
(c) -6y = -2x + 30, the slope is positive, m = 1 / 3.
(d) 3x + 5y =15, the slope is negative, m=  -3/5.

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1. ΔMLK ≅ ΔONK by AA similarity theorem.

2. The scale factor is 21/16 .

3. The distance across the lake is, LM ≈ 169.97 m.

The AA similarity theorem states that two triangles are similar to each other if we can show that they both have two congruent angles that are corresponding to each other.

1. In the image given, we have the following:

∠MLK ≅ ∠ONK because they are right angles

∠LKM ≅ ∠NKO based on the reflexive property of congruence.

Therefore, the similarity statement would be: ΔMLK ≅ ΔONK by AA.

2. The scale factor = (50 + 160) / 160 = 210/160 = 21/16

3. LM/NO = MK/OK

LM/129.5 = 210/160

LM = (210)(129.5)/160

LM ≈ 169.97 m

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Answer:

The answer is y = 5x - 2

Step-by-step explanation:

Distribute 5 through the parentheses:

y - 3 = 5x - 5

Move the constant to the right-hand side and change its sign:

y = 5x - 5 + 3

Calculate the sum:

y = 5x - 2

Total 241 adult ticket and 220 student ticket are sold.

system of equations, orsimultaneous equations, In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.

a + s = 461       or    s = 461 -a

Value of student tickets sold = s × 3   = 3 × (461-a)

Value of adult ticket sold =  4 a              

Summed they total 1624

System of equations :

s = 461-a3 (461-a) + 4a

  = 16241383 -3a +4a

  = 1624a

  = 241    

then  s = 461 -a = 220 ticket

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The percentage is calculated by dividing the required value by the total value and multiplying by 100.

The amount earned by 217% more from last year to this year.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Amount earned last year = 1,459,632,852

Amount earned this year = 4,632,859,678

The best estimate of the amount earned this year than last year.

= [ (4,632,859,678 - 1,459,632,852 ) / 1,459,632,852 ] x 100

= ( 3173226826 /1,459,632,852 ) x 100

= 217 %

Thus,

The amount earned by 217% more from last year to this year.

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Answer:

y = 10 , ∠ C = 40° , ∠ D = 76°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ DEF is an exterior angle of the triangle , then

∠ C + ∠ D = ∠ DEF , that is

4y + 7y + 6 = 116

11y + 6 = 116 ( subtract 6 from both sides )

11y = 110 ( divide both sides by 11 )

y = 10

Then

∠ C = 4y = 4(10) = 40°

∠ D = 7y + 6 = 7(10) + 6 = 70 + 6 = 76°

Answer:

y = 10

∡C = 40°

∡D = 76°

Step-by-step explanation:

Supplementary angles sum 180°

116° and ∡E are supplementary angles:

116 + E = 180°

E = 180 - 116

E = 64°

∡E = 64°

Internal angles of a triangle sum 180°

∡D   + ∡C + ∡E = 180°

7y+6 + 4y + 64 = 180

7y + 4y + 6 + 64 = 180

11y + 70 = 180

11y = 180 - 70

11y = 110

y = 110/11

y = 10

Then:

∡C = 4y = 4*10 = 40°

∡D = 7y + 6 = 7*10 + 6 = 70 + 6 = 76°

The equation which represent the following problem is s = 200/5

Average speed of an object refers to the rate of total distance traveled by the total time taken.

Average speed, s = Total distance traveled, d / Total time taken, t

Average speed = Total distance traveled / Total time taken

= 200 miles / 5 hours

= 40 miles per hour

In conclusion, the situation can be represented by the equation s = 200/5

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Answer:

ABC is the original

Step-by-step explanation:

The scale factor is 1/2 which means that the triangle would get 2 times smaller. Therefore, triangle ABC is the original because it is the bigger one.

Alicia want that 50 % of all people who visited one of the three coffee shops should visit her every week.

Total visitors to the other two coffee shops during one week = 840+1,220 i.e. 2,060

Total visits to Cool Beans should be 50 % of total visits i.e. equal to visits of the other two cafes combined

Visits to Cool Beans should be 2,060

Current Visits =548

Additional visits =2,060-548 i.e. 1,512 visits

Note for better understanding:

same or the demand of coffee will remain same, then the Additional people will be calculated as:

Total number of visits = 584+840+1,220  i.e. 2,608

Target number of visits =50 % of total visits i.e. 1,304 visit

Additional visits = 1,304-548 = 756 visits

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19.1 is the proportionality constant. It shows that Jack makes 19.1 dollars and cents for every hour he works.

Given that e = 19.1 may be used to represent the percentage between Jack's total wages in dollars and cents and the number of hours he works, h, the relationship between these two variables is one of proportionality.

We need to determine the constant of proportionality.

The constant of proportionality in the preceding equation, e = 19.1h, stands for the constant ratio between the total number of hours worked (h) and the total amount earned in dollars and cents (e).

The amount of money Jack makes for each hour he works is determined by this constant.

We can compare the provided equation with the formula for a proportional connection, which is: to determine the constant of proportionality.

e = k × h

Here, "k" represents the constant of proportionality.

We need to identify the value of "k" from the given equation e = 19.1h.

We can see by comparing the two equations that the proportionality constant, "k," is 19.1.

This indicates that Jack makes $19.1 for each hour that he works. The fixed rate of 19.1 (constant) represents the rise in his pay for each additional hour he works.

Hence, the constant of proportionality from the number of hours worked to total earnings is 19.1 dollars per hour.

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Answer:

Step-by-step explanation:

4x+7y=2.15

a dime is worth 10 cents each and because there are 4 dimes then there are 40 dimes. a quarter is worth 25 cents 4 quarters is a dollar, there are 7 quarters, minus 4, your left with 3 quarters so you have $1.75 of quarters but then you add .40 so now you have 2.15. So Santiago has $2.15 dollars.

x+y=2.15

For the 2nd question I think that it is asking a question and I think that this might be the answer but i'm not sure...if wrong I'm sorry.

The range of temperatures in the data stream and leaf is  given below.

Tempreture is the physical quantity that expresses quantitatively perception of hotness and coldness.

Combined

Mean:32.785714285714 or rounded 32.8

Median:29

Mode:25 and 29

Range:42

Minneapolis

Mean:28.857142857143 or rounded: 28.9

Median:25

Mode:None

Range:23

Columbus

Mean:36.714285714286 or rounded: 36.7

Median:29

Mode:29

Range:37

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Answer:

6 sqrt(2)

Step-by-step explanation:

sqrt(50) + sqrt(2)

Rewrite sqrt(50) as sqrt(25*2)  = sqrt(25) * sqrt(2) = 5 sqrt(2)

5 sqrt(2) + sqrt(2)

6 sqrt(2)

Answer:

$51.75

Step-by-step explanation:

Use a tip calculator.

Answer:

Radius is equal to 2.86 cm

Step-by-step explanation:

C = Perimeter = 18 cm

Perimeter of a circle = 2*PI*r

C = 2*pi*r

18 = (2)*(3.14)*r

18 = 6.28*r

r = 18/6.28

r = 2.86 cm

The likelihood that every girl is on the same team is 1/252.

A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Since the team's student lineup is not crucial, a mixture will be employed.

C(10,5) = 252 is the number of possible methods to choose 5 students from a class of 10.

Rest Team B will consist of 5 students. Consequently, there are 252 items in the sample space.

Let two women join team A. then the number of methods for choosing the final three members from the eight remaining members C(8,3) = 56

Likewise if two girls are in team B then possible number of different groups is 56.

Therefore total number of different groups such that two girls  are in one team is 56+56 = 112.

The required probability is

P(two girls  are in one team) = 112 / 252

Number of ways of selecting all girls in one team and boys in another team is 1. So required probability is

P( girls in one team) = 1/ 252

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The kind of sequence is a prime number if Norma cuts 3, 5, 8, 13 roses from the four bushes.

A prime number is a natural number higher than 1 that is not the sum of two lesser natural numbers. A composite number is any natural number that is more than 1 but not a prime. As an illustration, the number 5 is prime since there are no other ways to write it either a product than as 1 5 or 5 1. The basic arithmetic theorem states that every natural number greater than 1 is either a prime itself or can be factored as a product of primes that is unique up to their order, making primes a prominent concept in number theory.

Given,

The number of roses cut by Norma from the first rose bush are 3 roses.

And from the second rose bush are 5 roses and from the third rose bush are 8 roses.

And from the fourth rose bush are 13 roses.

1     2     3     4

3     5     8      13

Here, the roses are 3, 5, 8, 13

Therefore, the kind of sequence is a prime number.

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Answer:

A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain. For all values of a and b, f = (a,b)|

If every element in set A has exactly one and only one image in set B, then the relation is said to be a function.

A function is a relation from a non-empty set B such that its domain is A and it never has the same first member in two different ordered pairs.

In arithmetic, a function can be represented as:

a set of ordered pairs

an arrow diagram

a table form

a graphical form

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Answer:

The table below shows the distance in miles each of these cars traveled each hour. Let x be the number of hours Car #1 traveled before dropping out. Let y be ...

Step-by-step explanation

The number of cups of hot chocolate drink Nathan made is 12 cups.

According to the given information

number of milk cups 6 cups cooked by Nathan

4 cups of melted chocolate equals the number of cups.

Total number of creams = 1 PINT

Pint to cup conversion: 1 pint = 2 cups

Total number of cups of hot chocolate that were made by nathan

= Cups of milk heated + cups melted + number of cream

As a result, Nathan prepared 12 cups of hot chocolate.

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Answer:

125 in^2

Step-by-step explanation:

Assuming that s is the length of a side in the base.

1)  image of the coodinate A(6,2) be A'(-2,6)

image of the coodinate B(3,4) be B'(-4,3)

image of the coodinate C(2,8) be C'(-8,2)

2) A transformation that preserves congruence is called an isometry

3) A dilation would produce a similar figure.

What do you mean by transformation?

Transformation is a collective term for four specific ways of manipulating the shape and position of points, lines, or geometric figures. The original shape of the object is called the master, and the final shape and position of the object is the image under transformation. There are four types of transformations in mathematics

1) When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x).

Therefore, image of the coodinate A(6,2) be A'(-2,6)

image of the coodinate B(3,4) be B'(-4,3)

image of the coodinate C(2,8) be C'(-8,2)

2) A transformation that preserves congruence is called an isometry.  In other words, a transformation in which the Image and Pre-Image have the same side lengths and angle measurements. Translations, reflections, and rotations are isometries.

3) A dilation would produce a similar figure.

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a) The taxes to be paid for someone with a taxable income of $39,000 are of: $4,680.

b) The piece-wise function is defined as follows:

c) The tax rates are used as the slope for each linear definition of the piece-wise functions, while the bounds of the intervals are used to calculate the intercept.

The amount of taxes owed is obtained applying the proportion of the tax rate relative to the annual salary.

The tax rate for a taxable income of $39,000 is of 12%, hence the amount is given as follows:

0.12 x 39000 = $4,680.

The piece-wise functions for this problem are all derived considering the intervals with the tax brackets,

For the first tax bracket, the proportion is merely applied, as follows:

0.1x, 0 ≤ x ≤ 10275;

For each bracket, starting on the second, the maximum tax rate of the previous rate is calculated, and added to the excess of the income relative to the maximum of the previous tax bracket multiplied by the proportion.

For the first tax bracket, the maximum income is of:

$10,275.

The maximum tax of the first tax bracket is of:

0.1 x 10275 = 1027.5. -> the maximum value of the nth bracket is the starting value of the nth+1 bracket.

Then the function for the second bracket rate is obtained as follows:

f(x) = 1027.5 + 0.12(x - 10275), 10276 ≤ x ≤ 41175.

The same procedure is applied to any of the remaining brackets, taking the previous bracket to obtain the function.

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The value of x that will make L || M is x/2

As a parallel line part of the qualities include that the slopes of the lines  are equal  

The equation of line is L = 2x + 5 and M = x - 5

The slope intercept form of the form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

to make line L parallel to line M

2x ⇔ x

hence x in line L will be equal to x/2

L = 2x + 5

L = 2(x/2) + 5

L = x + 5

L = x + 5 is parallel with M = x - 5

L = 2x + 5 is parallel with M = 2x - 5

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