Why the cosine of any angle cant equal 1.25

Answers

Answer 1

Answer:The cosine function is a mathematical function that takes an angle as input and returns the ratio of the adjacent side length to the hypotenuse length in a right-angled triangle with that angle. The range of the cosine function is always between -1 and 1. Therefore, it is not possible for the cosine of any angle to equal 1.25.

If you are seeing the value of 1.25 for the cosine of an angle, it is likely that there is an error in the calculation or the interpretation of the result. It could also be possible that the value is being rounded off or truncated, leading to a value that is slightly larger than 1.

In any case, if you encounter a value of cosine that is greater than 1 or less than -1, it is a clear indication that there is an error in the calculation or interpretation of the result.

Step-by-step explanation:

explanation:

The cosine function takes an angle as input and returns the ratio of the adjacent side length to the hypotenuse length in a right-angled triangle with that angle.

The range of the cosine function is always between -1 and 1. This means that the value of cosine for any angle cannot be greater than 1 or less than -1.

If you encounter a value of cosine that is greater than 1 or less than -1, it is a clear indication that there is an error in the calculation or interpretation of the result.

If you see a value of 1.25 for the cosine of an angle, it is not possible as it exceeds the range of the cosine function.

Therefore, if you encounter such a situation, it is likely that there is an error in the calculation or interpretation of the result, and you should double-check your work or seek further clarification.


Related Questions

A 1-pound box of candy cost $4.00. What was the cost
per ounce (1 pound 16 ounces)?

Answers

Answer:

I think its $1 every 4 oz

Step-by-step explanation:

Basing this off that 4 * 4 is 16

The level of detail required by the 2055 form is generally consistent with the minimum content requirements of a (an)___________.

Answers

The major difference between the Fannie Mae 1004 form and the 2055 form is that they serve different purposes and have varying requirements.

The 1004 form is a more comprehensive appraisal report used for full residential appraisals, while the 2055 form is a shorter report used for limited scope or exterior-only appraisals.

In terms of length, the 1004 form is six pages long, while the 2055 form is four pages long. However, the page count alone does not fully capture the differences between the two forms.

On the 2055 form, the appraiser is required to document the source of information for the subject property's gross living area (GLA) and physical characteristics. This means that the appraiser must provide details on where they obtained the data about the property's size and physical attributes, such as number of rooms, bathrooms, and other features.

While both forms share similarities in terms of general information and sections, the 2055 form does not include a cost approach section. The cost approach is a method used in real estate appraisals to estimate the value of a property based on the cost to reproduce or replace it. This section is excluded in the 2055 form due to its limited scope nature.

To explain this concept mathematically, imagine the 1004 form as a more comprehensive equation with multiple variables and components, including the cost approach section. On the other hand, the 2055 form can be seen as a simplified equation with fewer variables and without the cost approach section.

In summary, the major differences between the Fannie Mae 1004 form and the 2055 form lie in their purposes, length, and content requirements. The 1004 form is a more comprehensive report used for full appraisals, while the 2055 form is a shorter report used for limited scope or exterior-only appraisals. The 2055 form also requires the appraiser to document the sources of information for the subject property's GLA and physical characteristics, and it does not include a cost approach section.

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Complete Question

What is the major difference between the Fannie Mae 1004 form and the 2055 form?

What is the slope of a line perpendicular to the line whose equation is x + y = -6.
Fully simplify your answer.

Answers

Answer:

-1 or -1/1

Step-by-step explanation:

Looked it up, found an answer that said

"X+Y = 6

change into slope intercept form y=mx+b

y= -x +6

the number infront of X is the slope...so....-1/1 would be your slope

Parallel lines have the same slope, so the answer is -1 or -1/1"

Hope this is correct, and good luck








1. What are the 3 conditions for a function to be continuous at xa? 2. the below. Discuss the continuity of function defined by graph 3. Does the functionf(x) = { ***

Answers

The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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Instructions: Read each statement below carefully. Place a T on the line if you think a statement it TRUE. Place an F on the line if you think the statement is FALSE
1. The rate of exchange between certain future dollars and certain current dollars is known as the pure rate of interest.___
2. An investment is the current commitment of dollars over time to derive future payments to compensate the investor for the time funds are committed, the expected rate of inflation and the uncertainty of future payments.___
3. A dollar received today is worth less than the same dollar received in the future ___.
4. The three components of the required rate of return are the nominal interest rate, an inflation premium, and a risk premium___.
5. Participants in primary capital markets that gather funds and channel them to borrowers are called financial intermediaries.___
6. Diversification with foreign securities can help reduce portfolio risk.___
7. The total domestic return on German bonds is the return that would be experienced by a U.S. investor who owned German bonds.___
8. If the exchange rate effect for Japanese bonds is negative, it means that the domestic rate of return will be greater than the U.S. dollar return___
9. The gifting phase is similar to and may be concurrent with, the spending phase.___
10. Long-term, high-priority goals include some form of financial independence.___

Answers

F; T; T; T; F; T; F; F;T; T. The rate of exchange between certain future dollars and current dollars is known as the forward exchange rate, not the pure rate of interest.

This statement accurately describes the concept of an investment, including the factors that compensate the investor. A dollar received today is worth more than the same dollar received in the future due to the time value of money. The three components mentioned (nominal interest rate, inflation premium, and risk premium) are indeed the components of the required rate of return. Financial intermediaries are not specifically related to primary capital markets. They facilitate transactions between savers and borrowers but may operate in various markets. Diversification with foreign securities can indeed help reduce portfolio risk by spreading exposure to different markets.

The total domestic return on German bonds is not the return experienced by a U.S. investor, as it would include exchange rate effects. A negative exchange rate effect for Japanese bonds would mean that the domestic rate of return is lower than the U.S. dollar return, not greater. The gifting phase and the spending phase can indeed be concurrent, such as when gifts are given for specific expenses. Long-term, high-priority goals often include working towards financial independence as a key objective.

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Read the excerpt from Team Moon.

The heavier the spacecraft, the harder it is to launch. And fuel is heavy. So it was critical to pinpoint the fuel needed, add a cushion, then take no more than necessary. But now, because the landing was taking far longer than planned, the fuel was almost gone. Mission Control wanted Neil to take as much time as he needed and fly the LM as near empty as possible only because they wanted him to make the landing. But if he ran out of fuel above the surface, in all likelihood the LM would crash onto the moon. So they were trying to time it to the last possible second before calling an abort—calling off the landing.

Which detail from the excerpt identifies a solution?

they were trying to time it to the last possible second
they wanted him to make the landing
the fuel was almost gone
And fuel is heavy

Answers

Answer:

C

Step-by-step explanation:

Answer:

its a. they were trying to time the last possible second

Step-by-step explanation:

i took the test on edge and got %100 hope this helped:)

5−(x−3)=4x−(3x−8)
Résoudre l’équation

Answers

Answer:

0

Step-by-step explanation:

5-(x-3)=4x-(3x-8)

5-x+3=4x-3x+8

5+3-x=x+8

8-x=x+8

8-x-x=8

8-2x=8

2x=8-8

2x=0

x=0/2

x=0

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Translation:

J'adore l'algèbre de toute façon

Le ans est dans l'image avec les étapes comment je l'ai obtenu

(J'espère que cela aide, puis-je avoir une liste de pensées: D hehe)

 5(x3)=4x(3x8)Rsoudre lquation

Aggie is an australian exchange sudent in china, and she currenly has 14,000 yuan in her bank account. If the exchange rate changes from 1 australian dollar to 6.21 yuan to 1 australian dollar 6.37 chinese yuan, what happens to the value in australian dollars of the money in aggies bank account

Answers

Step-by-step explanation:

Amount in Aggie bank account = 14,000 yuan

Initial exchange rate:

1 Australian dollar = 6.21 yuan

Initial amount in Australian dollars will be;

x aus dollar = 14,000 yuan

cross multiply

6.21x = 14,000

x = 14,000/6.21

x =  2,254.428 australian dollars

If the exchange rate increases to 6.37 Chinese yuan, her new balance in Australian dollars will be y;

1 Australian dollar = 6.37 yuan

y Australian dollar = 14,000 yuan

cross multiply

6.37y = 14,000

x = 14,000/6.37

y = 2,197.80 Australian dollars

The change in her account balance due to increase in exchange rate is y-x

y-x = 2,197.80 - 2,254.428

y-x = -56.626 aus dollars

This negative values shows a decrease in her account balance by 56.626 aus dollars due to increase in the exchange rate.

pls answer this bc i need help with this

pls answer this bc i need help with this

Answers

Answer:

A third degree or cubic polynomial with three terms. The constant term is -1/7, the leading term is -10x³ and the leading coefficient is -10

SCENARIO: ROAD CONSTRUCTION: Your state highway department hires high school students every summer to help with road construction projects. The hourly rate is $11.75 with the possibility of up to 10 hrs per week in overtime, for which you would be paid time and a half. Of course, the work is totally dependent on good weather, so the number of hrs you would work per week could vary. A road construction worker earns $11.75 per hour with up to 10 hours overtime. Write an equation, create a table, and create a graph for a road construction worker's weekly earnings with NO overtime, f(x), where x represents the total number of hrs the road construction worker would work. Is it Proportional or Non-proportional? Using the equation, table or graph, how much will a road construction worker earn for a typical 40 hr week​

Answers

Answer:

Step-by-step explanation:

LET

x be the number of  regular work hours

overtime paid time and a half :(11.75+1/2(11.75))= 17.625 dollars

max time =10 hours

max overtime paid = 10*17.625=170.65 dollars per week

f(x) or y =11.75x

the graph is proportional because it passes through the origin( no work hours, no earning)

with no overtime the workers if the workers work 40 hours then :

y=11.75*40=470 dollars

SCENARIO: ROAD CONSTRUCTION: Your state highway department hires high school students every summer to
SCENARIO: ROAD CONSTRUCTION: Your state highway department hires high school students every summer to

write expression in standard form 5x-(-4+-2x)

Answers

Answer: 5x+4+2

Step-by-step explanation:

5x-1(-4+2)

multiply the -1 by the -4 and 2

5x+4+2

G is the circumcenter. Find BG if BG =(2x-15)

G is the circumcenter. Find BG if BG =(2x-15)

Answers

Answer:

-30

Step-by-step explanation:

i am not sure just remember getting taught it.

Help me guys. plz no Decimal please. Thank you!

Help me guys. plz no Decimal please. Thank you!

Answers

Answer: 1,145,375cm^3

Step-by-step explanation:

Solve a Linear System by Substitution
Quiz Active
2
3
5
[3x+y=-3
2x-3y=-13
6
7
A. Solve the top equation for x.
B. Solve the top equation for y.
C. Solve the bottom equation for x.
D. Solve the bottom equation for y.
10
Which of the following is the best thing to do as a first step in using substitution to solve the system of
equations?

Answers

The solution is, A. Solve the top equation for x., is the best thing to do as a first step in using substitution to solve the system of equations.

What are linear equations?

Linear equations are equations that have constant average rates of change, slope or gradient.

here, we have,

given that,

3x+y=-3

2x-3y=-13

and, we have,

A. Solve the top equation for x.

B. Solve the top equation for y.

C. Solve the bottom equation for x.

D. Solve the bottom equation for y.

we know that,

The solution is, A. Solve the top equation for x., is the best thing to do as a first step in using substitution to solve the system of equations.

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Mary got a sales job at her father's company. She was paid $9 per hour plus a 5%commission on her sales. Last week sheworked 40 hours with sales of $5560. How much was she paid?

Answers

Answer:

Mary was paid $638

Step-by-step explanation:

Mary was paid 360 $ for working alone because

$40 * 9 = $360

Mary was paid $278

5 % * $5560 = $278

360 + 278 = 638 $

does anyone know what the sum of y and 4 is but as an expresion

Answers

Give more explanation on this please. Like a picture or something

The mean age at first marriage for respondents in a survey is 23.33, with a standard deviation of 6.13 a. Calculate the Z score associated with an observed age at first marriage of 25.50 and explain what the Z score tells you. b. Calculate the observed age at first marriage associated with a Z score of -0.72. c. What proportion of respondents were married for the first time between the ages of 20 and 30 ? d. If an individual was married for the first time at the age of 35, what percentile is he or she in?

Answers

In summary, using Z scores and a Z table, we can find that approximately 51% of respondents were married for the first time between the ages of 20 and 30, and an individual married for the first time at the age of 35 is in approximately the 97th percentile.

(a) To calculate the Z score for an observed age of 25.50, we use the formula Z = (X - μ) / σ, where X is the observed value, μ is the mean, and σ is the standard deviation. Substituting the given values, we get Z = (25.50 - 23.33) / 6.13 ≈ 0.36. The Z score tells us that the observed age is approximately 0.36 standard deviations above the mean. (b) To find the observed age associated with a Z score of -0.72, we rearrange the formula and solve for X: X = Z * σ + μ. Substituting the values, we get X = -0.72 * 6.13 + 23.33 ≈ 20.95. Thus, an observed age of approximately 20.95 corresponds to a Z score of -0.72.

(c) To calculate the proportion of respondents married between the ages of 20 and 30, we need to convert the age range to Z scores. The Z score for 20 is (20 - 23.33) / 6.13 ≈ -0.54, and the Z score for 30 is (30 - 23.33) / 6.13 ≈ 1.09. We then calculate the area under the normal distribution curve between these Z scores using a Z-table or a statistical software. This proportion represents the proportion of respondents married for the first time between the ages of 20 and 30.

(d) To determine the percentile rank for an individual married at the age of 35, we need to calculate the area under the normal distribution curve to the left of the corresponding Z score. The Z score for 35 is (35 - 23.33) / 6.13 ≈ 1.90. We then look up the corresponding percentile in a Z-table or use statistical software to find the percentage of the population with a Z score less than 1.90. This percentage represents the percentile rank for an individual married at the age of 35.

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The dot displays data from 14 random samples, each consisting of 30 middle school students. each dot represent the mean number of sports played per year by students in the sample.

Answers

The dot displays data representing a data set whose mode is 0.5, mean 2.5 and the variability in the distribution is 0.53.

Mean Absolute Deviation (MAD) is the average absolute distance between each data and the mean of the data set. This value represents the variability in a data set.

MAD = ( (|x₁ - mean| x n₁) + (|x₂ - mean| x n₂) + ... + (| xₙ - mean| x nₙ) ) / number of data

Now we take a look at the problem.

First, we put the dot displays data into a table:

Number of sports played   Number of samples

                 1                                      1

                1.5                                    1

                 2                                     3

                2.5                                   4

                 3                                     3

                3.5                                   2

The mode of the data set is 2.5 because it has the most samples.

The mean of the data set can be calculated as follows:

Mean = sum of all data / number of data

         = ( (1 x 1) + (1.5 x 1) + (2 x 3) + (2.5 x 4) + (3 x 3) + (3.5 x 2) / 14 )

         = ( 2 + 1.5 + 6 + 10 + 9 + 7) / 14

         = 35.5 / 14

         = 2.54 ≈ 2.5

The variability in the distribution can be calculated from the MAD:

MAD = ( (|x₁ - mean| x n₁) + (|x₂ - mean| x n₂) + ... + (|xₙ - mean| x nₙ) ) / number of data

        = ( (|1 - 2.5| x 1) + (|1.5 - 2.5| x 1) + (|2 - 2.5| x 3) + (|2.5 - 2.5| x 4) + (|3 - 2.5| x 3) + (|3.5 - 2.5| x 2) ) / 14

        = (1.5 + 1 + 1.5 + 0 + 1.5 + 2) / 14

        = 7.5 / 14

        = 0.535 ≈ 0.53

Thus:

The mode of the data set is 0.5;

The mean number of sports is 2.5; and

The variability in the distribution is 0.53

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compnay a charges $82 and allows unlimited mileage. company b has an intial fee of $55 and charges an additional $0.60 for every mile driven. for what mileage will company a charge less than company b

Answers

For distances of 45 miles or less, Company A is cheaper, while for distances greater than 45 miles, Company B is the cheaper option.

To determine at what mileage Company A charges less than Company B, we can set up an equation and solve for the variable, which in this case will represent the number of miles driven. Let x be the number of miles driven, and let C(x) represent the cost of renting a car from Company B after driving x miles.

We know that Company A charges a flat fee of $82 for unlimited mileage, so we can represent the cost of renting from Company A as a constant function C(x) = 82. For Company B, the cost function is given by:

C(x) = 55 + 0.60x

We want to find the value of x for which Company A charges less than Company B. In other words, we want to find the point at which the two cost functions intersect. To do this, we can set the two functions equal to each other and solve for x:

82 = 55 + 0.60x

27 = 0.60x

x = 45

Therefore, when the number of miles driven is 45 or less, Company A charges less than Company B. For any mileage greater than 45, it is cheaper to rent from Company B.

In summary, Company A charges a flat rate of $82 for unlimited mileage, while Company B charges an initial fee of $55 and an additional $0.60 for every mile driven. To find the point at which Company A charges less than Company B, we set the two cost functions equal to each other and solve for the number of miles driven. The result is 45 miles, meaning that for any distance of 45 miles or less, it is cheaper to rent from Company A, while for any distance greater than 45 miles, Company B is the cheaper option.

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PLEASE PLEASE PLEASE HELP

PLEASE PLEASE PLEASE HELP

Answers

10- 9

11- 5

12- 1

13- 10

14- 3

15- 7

16- 3

17- 3

18- 6

Which expression is equivalent to 1/2b -15

Answers

Answer:

b-30

Step-by-step explanation:

1/2b-30×2=b-30

hope this helpd

Of the 41 sixth-graders at Rebecca's school, 28 visited the science museum and the rest visited the history museum. What is the ratio of the number of sixth-graders who visited the history museum to the number of sixth-graders who visited the science museum?

Answers

Answer:

41:28

Step-by-step explanation:

13:28 or read as thirteen to twenty-eight

Explain the method applied for determining the density of a solid (Regular and inregular) and liquid.​

Answers

The method applied for determining the density of a solid (regular and irregular) and a liquid is based on the concept of mass and volume.

For solids (regular and irregular):

Determining the mass: The mass of the solid can be measured using a balance or scale. The unit of mass is typically grams (g) or kilograms (kg).

Determining the volume:

Regular solids: The volume of regular solids, such as cubes or rectangular prisms, can be calculated using their geometric formulas. For example, the volume of a cube is calculated by cubing the length of one of its sides: Volume = side length^3.

Irregular solids: The volume of irregular solids can be determined using various methods such as water displacement. The solid is immersed in a known volume of liquid (e.g., water), and the increase in the volume of the liquid is measured. This increase represents the volume of the solid.

Calculating the density: The density of a solid is calculated by dividing its mass by its volume. The unit of density is typically grams per cubic centimeter (g/cm^3) or kilograms per cubic meter (kg/m^3).

For liquids:

Determining the mass: Similar to solids, the mass of the liquid can be measured using a balance or scale.

Determining the volume: The volume of a liquid can be measured directly using a graduated cylinder or other volumetric measuring devices. The unit of volume is typically milliliters (mL) or liters (L).

Calculating the density: The density of a liquid is calculated by dividing its mass by its volume. The unit of density is typically grams per milliliter (g/mL) or kilograms per liter (kg/L).

The method for determining the density of a solid (regular and irregular) involves measuring the mass and volume of the solid and calculating the density by dividing the mass by the volume. For liquids, the density is determined similarly by measuring the mass and volume.

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(x+4)²=9= 0
What are the solutions to the
equation?
Choose 1 answer:
A -4±3
B 4±3
C -4±9
D 4±9

Answers

Answer:

A -4±3

Step-by-step explanation:

Posts: 6 3/4 feet in length. Posts must be installed 1 1/2 feet below ground level. What will be the height of the fence in design?

Answers

this is your answer, hope this helps :)
Posts: 6 3/4 feet in length. Posts must be installed 1 1/2 feet below ground level. What will be the

The height of the fence in design is 5 1/6 feet.

Given,

Posts: 6 3/4 feet in length.

Posts must be installed 1 1/2 feet below ground level.

We need to find out what will be the height of the fence in design.

How is a mixed fraction?

A mixed fraction has three parts the whole number part, the numerator, and the denominator.

Example: 1 2/3

1 - whole number part

2 - Numerator part

3 - denominator part

We can convert mixed fractions into proper fractions.

a b/c = (cxa + b) / b

Find the height of the fence in design.

This means the height from the surface of the ground.

We have,

Post length = 6 2/3 feet

Height below the ground = 1 1/2 feet

Now,

= 6 2/3 - 1 1/2

= 20/3 - 3/2

= (40 - 9) / 6

= 31 / 6

= 5 1/6 feet

Thus the height of the fence in design is 5 1/6 feet.

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Factor this expression into primes.
22x

Answers

22x

(11x) (2)


this is supposed to look like a factor tree where 11x and 2x are circled :)

The factors of expression into prime numbers is 2 and 11.

We are given that;

The expression= 22x

Now,

Factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

To factor an expression into primes, we need to find the prime factors of each term and then write the expression as a product of those factors.

For example, 22x can be written as:

\($22x = 2 \times 11 \times x$\)

The prime factors of 22 are 2 and 11, and x is already a prime factor.

Therefore, by factorization answer will be 2 and 11.

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Using the rules of 30-60-90, determine the requested length from the image.

Using the rules of 30-60-90, determine the requested length from the image.

Answers

Answer:

15

Step-by-step explanation:

cos30=12/hyp

0.8=12/hyp

12÷0.8=15

The equation of a circle is given below.


x^{2}+(y+4)^{2} = 64x


2


+(y+4)


2


=64x, squared, plus, left parenthesis, y, plus, 4, right parenthesis, squared, equals, 64


What is its center?


((left parenthesis


,,comma


))right parenthesis


What is its radius?


If necessary, round your answer to two decimal places.


units

Answers

Answer:

(h,k) = (32,-4)

r = 32

Step-by-step explanation:

The general equation for a circle is given by:

\((x-h)^2+(y-k)^2=r^2\)   (1)

where (h,k) is the center of the circle and r is the radius.

You have the following equation:

\(x^2+(y+4)^2=64x\)   (2)

You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:

2b = 64

b = 32

Then, you have to sum 32^2 and also subtract the same number in the expression (2):

\(x^2-64x+(y+4)^2=0\\\\(x^2-64x+32^2)+(y+4)^2-32^2=0\\\\(x-32)^2+(y+4)^2=32^2\)

you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32

Furthermore, the center of the circle is (h,k) = (32,-4)

You have now invested some money in your bank account with an interest rate of 5% every year. At year 3 , you will find out that you have $30,000 in your bank account. How much money will you have in your bank account at year 2?

a. $25,915.13
b. $27,210.88
c. $28,571.43
d. $30,000.00
e. None of the above

Answers

At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).


To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.

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which adjustment would turn the equation y = "-3x^2" + 4 into a linear function​

Answers

Answer:

he equation given in the exercise  is:

Observe that highest exponent of the variable "x" is 2. Therefore, it is a Quadratic equation.

Therefore, making an exponent 1 instead of the exponent 2 would turn the given equation into a Linear function.

Step-by-step explanation:

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