A bushel of apples costs $15.00 in the U.S. The same apples cost 1,600 yen in Japan. If the exchange rate is 80 yen per dollar, what is the real exchange rate? Is there a possibility for arbitrage? Explain and defend your answer.

Answers

Answer 1

The real exchange rate is 0.75.

It is not possible to make a profit by buying apples in one country and selling them in another.

We have,

To find the real exchange rate, we need to compare the price of apples in the two countries in terms of their respective currencies.

In the U.S., a bushel of apples costs $15.00.

In Japan, the same apples cost 1,600 yen.

Using the exchange rate of 80 yen per dollar, we can convert the cost in yen to dollars:

1,600 yen / 80 yen per dollar

= $20.00

So, the price of a bushel of apples in Japan is equivalent to $20.00 in the U.S.

The real exchange rate is the ratio of the prices of the same goods in two different countries, taking into account the exchange rate.

In this case, the real exchange rate is:

Real exchange rate = Price in U.S. / Price in Japan

= $15.00 / $20.00

= 0.75

This means that it takes 0.75 U.S. dollars to buy the same goods in Japan which would cost 1 Japanese yen.

To determine if there is an arbitrage opportunity, we need to compare the real exchange rate with the actual exchange rate.

If the real exchange rate is greater than the actual exchange rate, there is an arbitrage opportunity for someone to buy the good in one country and sell it in another country for a profit.

However, if the real exchange rate is less than the actual exchange rate, there is no arbitrage opportunity.

In this case,

The real exchange rate is 0.75, while the actual exchange rate is 80 yen per dollar, or 0.0125.

Since the real exchange rate is less than the actual exchange rate, there is no arbitrage opportunity.

Therefore,

The real exchange rate is 0.75.

It is not possible to make a profit by buying apples in one country and selling them in another.

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Related Questions

Classify the pair of angles. Then find the value of x.

Two angles share a side. One angle measures 4 x degrees and the other angle measures 2 x degrees. The sum of the angles is 90 degrees.

Answers

The pair of angles are complementary angles and the value of x is 15.

The pair of angles are complementary angles because their sum is equal to 90 degrees.

We can set up an equation based on the given information:

4x + 2x = 90

Simplifying this equation, we get:

6x = 90

Dividing both sides by 6, we get:

Value of x = 15

Therefore, the angle that measures 4x degrees is:

4x = 4(15) = 60 degrees

And the angle that measures 2x degrees is:

2x = 2(15) = 30 degrees

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A ladder is leaning against a house at a 50 degree angle. If the ladder is 80 feet long, how high up is it from the ground at the top of the ladder?
We are missing a side or and angle?
Regular or Inverse Trig?

Answers

The height from the ground to the top of the ladder is 61. 28 feet

How to determine the height

First, we need to know that their are six different trigonometric identities.

These identities includes;

secantcotangenttangentcosinesinecosecant

From the information given, we have that;

the height of the ladder that is leaning against the house = 80 feet

This the hypotenuse side

The angle of elevation is 50 degrees

Then, the opposite side is the height from the ladder = x

Using the sine identity, we have;

sin 50 = x/80

cross multiply the values

x = 61. 28 feet

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The exchange rate for 15 American Dollars is 17.1 Euro. And 7 Euro are worth 435.2 Dominican Pesos. How
much is 12 American dollars worth in Dominican Pesos?

Answers

Answer:

First, we need to convert 15 American dollars to Euro:

15 USD * 17.1 Euro/USD = 256.5 Euro

Then, we can use the exchange rate between Euro and Dominican Pesos to convert Euro to Dominican Pesos:

1 Euro = 435.2 Dominican Pesos/7 Euro

Therefore, 256.5 Euro = (256.5/7) * 435.2 Dominican Pesos = 9,475.2 Dominican Pesos

Finally, we can use the proportion:

12 USD / 15 USD = x Dominican Pesos / 9,475.2 Dominican Pesos

Solving for x, we get:

x = (12/15) * 9,475.2 = 7,580.16 Dominican Pesos

Therefore, 12 American dollars is worth 7,580.16 Dominican Pesos.

When Emilia looked at her cell phone bill for the month, she saw that she had spent 1/12 of her minutes talking to her mother and 5/12 of her minutes talking to her best friend. What fraction of the minutes did Emilia spend talking to either her mom or her best friend?

Answers

Answer:

1/2

Step-by-step explanation:

1/12 +5/12=1/2

hope this helps

BRAINLIEST!!! Show all work to identify the asymptotes and state the end behavior of the function ..
f(x)= 3x/x-9
SHOW ALL STEPS PLEASE.

Answers

The function f(x) = 3x/(x-9) has a vertical asymptote at x=9, a horizontal asymptote at y=3 as x->±∞, and a horizontal asymptote at y=-3 as x->±∞.

To identify the asymptotes and state the end behavior of the function f(x) = 3x/(x-9), we need to analyze the behavior of the function as x approaches positive and negative infinity.

First, let's look at the denominator of the fraction, which is x-9. This means that the function has a vertical asymptote at x=9, as the denominator approaches zero at that point. This vertical asymptote divides the x-axis into two regions, x<9 and x>9.

Now let's consider the behavior of the function as x approaches positive infinity. In this case, the numerator grows faster than the denominator, and the function approaches a horizontal asymptote at y=3. To see this, we can use the limit definition:

lim (x->∞) f(x) = lim (x->∞) 3x/(x-9) = lim (x->∞) 3(1/(1-9/x)) = 3

Similarly, as x approaches negative infinity, the function also approaches a horizontal asymptote at y=-3. Again, we can use the limit definition to confirm this:

lim (x->-∞) f(x) = lim (x->-∞) 3x/(x-9) = lim (x->-∞) 3(1/(1-9/x)) = -3

Therefore, the function f(x) = 3x/(x-9) has a vertical asymptote at x=9, a horizontal asymptote at y=3 as x->±∞, and a horizontal asymptote at y=-3 as x->±∞.

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Find the amount in the account for the given principal, interest rate, time, and compounding period. P = $3,830, r= 5.5%, t = 20 years; compounded monthly​

Answers

The amount on compound interest is $ 96,685,319.07

What is amount on compound interest?

The amount on compound interest is given by A = P(1 + r)ⁿ where P = principal amount, r = interest rate and t = time

To find the amount on compound interest given that

P = $3830r = 5.5 % compounded monthly, so r = 5.5 % × 12 = 66% = 0.66n = 20 years

So, substituting the values of the variables into the equation, we have that

A = P(1 + r)ⁿ

A = $3830(1 + 0.66)²⁰

A = $3830(1.66)²⁰

A = $3830(25244.21)

A = $ 96,685,319.07

The amount is $ 96,685,319.07

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The relative locations of Marilyn's house, Bobby's house, and Kimberly's house are shown in the figure.


What is the distance from Kimberly's house to Marilyn's house?



Enter your answer in the box. Round your final answer to the nearest whole number.

Answers

The distance from Kimberly's house to Marilyn's house = 12.04 mi

Let us assume that A be the angle at Kimberly's house, B represents the angle at Bobby's house and S represents the angle at Marilyn's house.

Let a, b, c represents the sides(distance between two houses) opposite to angles A, B and C.

Using sine rule to triangle ABC,

sin A/a = sin B/b = sin C/c

Consider equation,  

sin A/a = sin B/b

sin(63°) / 14 = sin(50°) / b

b = (0.766 × 14) / 0.891

b = 12.04 mi

Thus, the required  distance between Kimberly's house and Marilyn's house = 12.04 mi

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Which prism has a volume between 38 and 48 cubic inches? Four prisms named A, B, C, and D. All the prisms are measured in cubic inches. Prism A has four rows, five columns, and two layers. Prism B has three rows, four columns, and three layers. Prism C has four rows, four columns, and one layer. Prism D has four rows, four columns, and six layers. A B C D

Answers

Answer:

To find the prism with a volume between 38 and 48 cubic inches, we need to calculate the volume of each prism and then compare it to the given range.

Prism A:

Number of cubes in prism A = 4 x 5 x 2 = 40

Volume of each cube = 1 cubic inch

Volume of prism A = Number of cubes x Volume of each cube = 40 x 1 = 40 cubic inches

Prism B:

Number of cubes in prism B = 3 x 4 x 3 = 36

Volume of each cube = 1 cubic inch

Volume of prism B = Number of cubes x Volume of each cube = 36 x 1 = 36 cubic inches

Prism C:

Number of cubes in prism C = 4 x 4 x 1 = 16

Volume of each cube = 1 cubic inch

Volume of prism C = Number of cubes x Volume of each cube = 16 x 1 = 16 cubic inches

Prism D:

Number of cubes in prism D = 4 x 4 x 6 = 96

Volume of each cube = 1 cubic inch

Volume of prism D = Number of cubes x Volume of each cube = 96 x 1 = 96 cubic inches

Therefore, the prism with a volume between 38 and 48 cubic inches is prism A, since its volume is 40 cubic inches which falls within the given range.

Step-by-step explanation:

Answer:

Prism A:

Number of cubes in prism A = 4 x 5 x 2 = 40

Volume of each cube = 1 cubic inch

Volume of prism A = Number of cubes x Volume of each cube = 40 x 1 = 40 cubic inches

Prism B:

Number of cubes in prism B = 3 x 4 x 3 = 36

Volume of each cube = 1 cubic inch

Volume of prism B = Number of cubes x Volume of each cube = 36 x 1 = 36 cubic inches

Prism C:

Number of cubes in prism C = 4 x 4 x 1 = 16

Volume of each cube = 1 cubic inch

Volume of prism C = Number of cubes x Volume of each cube = 16 x 1 = 16 cubic inches

Prism D:

Number of cubes in prism D = 4 x 4 x 6 = 96

Volume of each cube = 1 cubic inch

Volume of prism D = Number of cubes x Volume of each cube = 96 x 1 = 96 cubic inches

Therefore, the prism with a volume between 38 and 48 cubic inches is prism A, since its volume is 40 cubic inches which falls within the given range.

Step-by-step explanation:

The length of the arc intercepted by a central angle of 5 radians in a circle of radius
73 is

The length of the arc intercepted by a central angle of 86" in a circle of radius 15 is

Answers

Answer:

The length of the arc intercepted by a central angle of 3 radians in a circle of radius 76 is 228 and the length of the arc intercepted by a central angle of 2 radians in a circle of radius 15 is 30.

Explain:

The following formula determines the length of an arc that a circle's central angle intercepts:

Arc length is equal to (central angle / 2) 2r r r

where r denotes the circle's radius. We can determine the length of the two arcs using the following formula:

For the first circle, with a radius of 76 and a center angle of 3 radians:

Arc length = 3 x 76 = 228

Therefore, in a circle with a radius of 76, the length of the arc that is intercepted by a central angle of 3 radians is 228.

For the second circle, whose radius is 15, and whose center angle is 2 radians:

Arc length = 2 x 15 = 30

As a result, the length of the arc in a circle with a radius of 15 is 30 when it is intercepted by a central angle of 2 radians.

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At a large university, 20% of students are enrolled in the nursing program. The dean of students selects a random sample of 20 students and records n the number of students enrolled in the nursing program. What is an appropriate assignment of digits to the outcomes for a simulation of this random process? = O Let 1 = the student is enrolled in the nursing program. Let 2-5 = the student is not enrolled in the nursing program. Skip the digits 6-9, and 0. ○ Let 0 and 1 = the student is enrolled in the nursing program. Let 2-5 = the student is not enrolled in the nursing program. Skip the digits 6, 7, 8, 9, and 0. O Let 1 = the student is enrolled in the nursing program. Let 2-9 = the student is not enrolled in the nursing program. Skip the digit 0. O Let 1 and 2 = the student is enrolled in the nursing program. Let 3-9 = the student is not enrolled in the nursing program. Skip the digit 0.​

Answers

An appropriate assignment of digits to the outcomes for a simulation of this random process would be:

Option 1: Let 0 and 1 = the student is enrolled in the nursing program. Let 2-5 = the student is not enrolled in the nursing program. Skip the digits 6, 7, 8, 9, and 0.

This option assigns two digits, 0 and 1, to represent the two possible outcomes: a student is either enrolled in the nursing program (outcome 1) or not enrolled (outcome 2-5). The digits 2-5 represent the non-nursing program outcomes, and the digits 6-9 and 0 are skipped.

Option 1 is appropriate because it assigns a unique digit to each possible outcome, and the skipped digits are not relevant to the simulation. Additionally, the proportion of digits assigned to each outcome (2 out of 10) corresponds to the proportion of students in the nursing program (20%).

Determine whether the graph of the equation is symmetric with respect to the x axis, y axis and or the origin.
X^2 + Y -36 =0

Answers

The graph of the equation x² + y - 36 = 0 is symmetric with respect to the y-axis and the origin, but not with respect to the x-axis.

x² + y - 36 = 0

Symmetry with respect to the x-axis:

Replace y with -y: x² - y - 36 = 0

This equation is not equivalent to the original equation, so the graph is not symmetric with respect to the x-axis.

Symmetry with respect to the y-axis:

Replace x with -x: (-x)² + y - 36 = 0

Simplifying, we get x² + y - 36 = 0, which is equivalent to the original equation.

Therefore, the graph is symmetric with respect to the y-axis.

Symmetry with respect to the origin:

Replace x with -x and y with -y: (-x)² + (-y) - 36 = 0

Simplifying, we get x² + y - 36 = 0, which is equivalent to the original equation.

Therefore, the graph is symmetric with respect to the origin.

Hence, the graph of the equation x² + y - 36 = 0 is symmetric with respect to the y-axis and the origin, but not with respect to the x-axis.

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Change this percent to a fraction

125%

Answers

Answer:  1[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

Mrs. Myles gave the same test to both her first and third period class. In first period, the median was 75 and the range was 30. In third period, the median was 80 and the range was 60. Which is a true statement? [Assume that scores can reach a maximum of 100.]
A The lowest score was in third period.The lowest score was in third period. - no response given
B On average, first period did better than third period.On average, first period did better than third period. - no response given
C The highest score was in first period.The highest score was in first period. - no response given
D There is not enough information to know if any of these is true.

Answers

Answer:

D There is not enough information to know if any of these is true.

Based purely on the facts provided, we cannot draw any judgements regarding the relative performance of the two classes. The range and median are important indices of central tendency and dispersion, but they do not offer an accurate picture of the score distribution. We don't know the distribution's form, the number of students in each class, or each student's exact score. As a result, we can't tell whether class received the lowest or highest score, or whether one class performed better overall than the other.

Multiply 16, 3 and 29 and then subtract 17

Answers

Answer:

1375

Step-by-step explanation:

16*3*29 = 1392

1392-17 =1375

Write your answer as an integer or as a decimal rounded to the nearest tenth.

Answers

The measure of WY using trigonometric identities is 5.4405.

We have,

Using trigonometric identities,

tan 33 = YW/√70

Now,

√70 = 8.37

tan 33 = 0.65

Substituting,

0.65 = YW/8.37

YW = 0.65 x 8.37

YW = 5.4405

Thus,

The measure of WY is 5.4405.

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topic: upper and lower bounds
why does there need to be a 5 placed at the end of 8.23, 8.24, 3.4 and 3.5?
Context cleared up in the picture provided:​

Answers

Note that the upper bound for v is 2.356.

What is the explanation for the above figure?

To find the upper bound for v, divide te upper bound for s by the lower bound for t,    because dividing by a   smaller integer give a bigger quotient.

Adding 0.5 x 0.1 t to the value of s yields the upper bound for s with t decimal places.

As a result, the upper bound for s with two decimal places is......

8.24 + 0.5 x 0.1² = 8.245

The lower bound for t with 1   decimal place is simply the given value of 3.5.

So, the upper bound for v is  ..

v = s/t = 8.245/3.5 = 2.355714...

Rounding this to 3 decimal places, we get:

v ≈ 2.356

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A person ordering a certain model of car can choose any of 4 colors, either manual or automatic transmission, and
any of 6 audio systems, How many ways are there to order this model of car?
A) 48 ways
B) 44 ways
C 58 ways
D) 56 ways

Answers

Answer:

Step-by-step explanation:

4*2*6=48a

In which quadrant is point B located?

Answers

Answer:

Step-by-step explanation:

Quadrant II

A is in Quadrant I   then you count counterclockwise

B quadrant II     (2)

C Quadrant III    (3)

D Quadrant VI   (4)

Roman numerals are used to for quadrant number

Exercise C-7 (Algo) Calculate the present value of a single amount (LO C-3)
You have entered into an agreement for the purchase of land. The agreement specifies that you will take ownership of the land
immediately. You have agreed to pay $48,000 today and another $48,000 in three years. Calculate the total cost of the land today.
assuming a discount rate of (a) 4%, (b) 6%, or (c) 8%. (FV of $1. PV of $1. EVA of $1, and PVA of $1) (Use tables, Excel, or a financial
calculator. Round your answers to 2 decimal places.)
a.
b.
C.
Payment
Amount
$ 48,000
48,000
48,000
Interest
Rate
6%
8%
Compounding
Annually
Annually
Annually
Period Due
3 years
3 years
3 years
Total Cost of Land
Today

Answers

According to the compound interest concept the total cost of the land today is $89,306.64, $86,249.94, $83,693.44 respective to the discount percentage.

To calculate the PV of the second payment of $48,000 due in three years, we need to use the formula for the present value of a single sum:

PV = FV / (1 + r)ⁿ

where PV is the present value, FV is the future value, r is the discount rate, and n is the number of periods.

Using the given information, the FV is $48,000, the discount rate is 4%, 6%, or 8%, depending on the question, and the number of periods is three. Using a financial calculator, Excel, or present value tables, we can calculate the PV of the second payment:

For a discount rate of 4%:

PV = $48,000 / (1 + 0.04)³ = $41,306.64

For a discount rate of 6%:

PV = $48,000 / (1 + 0.06)³ = $38,249.94

For a discount rate of 8%:

PV = $48,000 / (1 + 0.08)³ = $35,693.44

Next, we need to add the PV of the second payment to the initial payment of $48,000 to get the total cost of the land today:

For a discount rate of 4%:

Total cost = $48,000 + $41,306.64 = $89,306.64

For a discount rate of 6%:

Total cost = $48,000 + $38,249.94 = $86,249.94

For a discount rate of 8%:

Total cost = $48,000 + $35,693.44 = $83,693.44

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A cargo container is 25 ft long, 10 ft tall, and 12 ft wide. Find its volume in cubic yards. Round to
the nearest hundredth.
Answer: ________yd3

Answers

Answer:

3,000

Step-by-step explanation:

v = lwh

v = (25)(10)(12)

v = 3000

Helping in the name of Jesus.

Write the mixed number as a percent.

1 9/10

Answers

190 percent. you can find this by dividing the numerator by denominater

Answer:

190%

Step-by-step explanation:

19/10 = 19 ÷ 10 = 1.9

1.9 x 100 = 190%

Write the quadratic equation in standard form:-4x – 19 = x

Answers

Answer: x^2 + 0x + 19/5 = 0

Step-by-step explanation: The initial step involves the equation -4x - 19 = x, which can be simplified by performing the operation of subtracting x from both sides.

The given equation can be represented as -5x - 19 = 0 in standard algebraic form, where 'x' denotes the unknown variable.

The process of combining similar or like terms leads to the consolidation of terms that share the same variable and corresponding exponents.

The given expression, 5x - 19 = 0, can be rewritten in an academic manner as a linear equation. Specifically, this expression represents a linear equation in one variable, where x is the unknown. The equation can be solved to find the value of x that satisfies it. This can be done through various methods, such as isolation of x, substitution, or using algebraic properties. The solution of this equation is x = 19/5, which can be verified by plugging it back into the original equation and observing its validity.

In order to render this equation in a standard format, it is imperative to eliminate the fixed element present on the left-hand side. The aforementioned task can be accomplished by simultaneously augmenting 19 to each side of the equation.

The equation 5x = 19 can be expressed in an academic manner as a linear equation with one variable. Specifically, it states that there is a value, x, that when multiplied by the constant factor of 5, results in a final product of 19. This equation could be used as a starting point for further mathematical analysis or application, such as solving for the specific value of x or incorporating it into a larger system of equations.

The left-hand side of the expression contains the linear term and the constant term, while the right-hand side is equal to 0. In order to express this equation in a standardized form, it is necessary to perform division by a factor of negative five to isolate the variable x.

The numerical value of the variable x is equivalent to negative nineteen divided by five, expressed as x = -19/5.

The standard form of the quadratic equation can be expressed as follows:

The mathematical expression, x + 19/5 = 0, may be restated in a formal academic style as follows: "The equation is of the form x + 19/5 = 0."

In order to determine the coefficients of the squared and constant terms, it can be observed that the coefficient of the squared term equates to 1 by virtue of the squared exponent of x, while the constant term evaluates to 19/5. This analytical approach yields the appropriate identification of the relevant coefficients in the given equation. Henceforth, the standard format for the quadratic equation is expressed as follows:

The equation in question is x^2 + 0x + 19/5 = 0.

What percentage do you have invested in bonds if your portfolio consists of $45,000 invested in U.S. Treasuries, $32,000 in high-grade corporate
bonds, and $74,000 in growth stocks?

51%
45%
50%
52%

Answers

To find the percentage invested in bonds, we need to add the amounts invested in U.S. Treasuries and high-grade corporate bonds, and then divide by the total value of the portfolio:

Total amount invested in bonds = $45,000 + $32,000 = $77,000

Total portfolio value = $45,000 + $32,000 + $74,000 = $151,000

Percentage invested in bonds = (Total amount invested in bonds / Total portfolio value) x 100%

= ($77,000 / $151,000) x 100%

= 51.0%

Therefore, the answer is 51%.

I hope this helps you!

A committee of four people is formed by selecting members from a list of 12 people.
How many different committees can be formed?

__ committees

Answers

The number of different committees that can be formed is 495

How many different committees can be formed?

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

People = 12

Committee = 4

These can be represented as

n = 12 and r = 4

The number of different committees that can be formed is

Number = nCr

So, we have

Number = 12C4

Evaluate

Number = 495

Hence, the committee are 495

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The table below show the data to find an exponential model.


x 1 4 7 8 10

y. 798 1078 1519 2075 3102

1 goes with 798, 4 goes with 1078, 7 goes with 1519, 8 goes with 2075, and 10 goes with 3102

a. Write the data set to be used in order to linearize the data.


b. Write the system of equations


c. Write the matrices.


d. Indicate the c values


e. Write the exponential model in the form Y=C* 10^bx

Answers

a. The exponential model is of the form Y=Ce^bx. Taking natural logarithms of both sides of the equation, we get ln(Y)=ln(C)+bx. This form is linear in ln(Y).

The data set to be used to linearize the data is:

x ln(y)
1 ln(798)
4 ln(1078)
7 ln(1519)
8 ln(2075)
10 ln(3102)

b. The system of equations is:

$\begin{pmatrix}5 & \sum_{i=1}^{5} x_i \\ \sum_{i=1}^{5} x_i & \sum_{i=1}^{5} x_i^2 \\\end{pmatrix}\begin{pmatrix}b \\ ln(C) \\\end{pmatrix}=\begin{pmatrix}\sum_{i=1}^{5} ln(y_i) \\ \sum_{i=1}^{5} x_i ln(y_i) \\\end{pmatrix}$

c. The matrices are:

$\begin{pmatrix}5 & \sum_{i=1}^{5} x_i \\ \sum_{i=1}^{5} x_i & \sum_{i=1}^{5} x_i^2 \\\end{pmatrix}\begin{pmatrix}b \\ ln(C) \\\end{pmatrix}=\begin{pmatrix}\sum_{i=1}^{5} ln(y_i) \\ \sum_{i=1}^{5} x_i ln(y_i) \\\end{pmatrix}$

$\begin{pmatrix}5 & 30 \\ 30 & 266 \\\end{pmatrix}\begin{pmatrix}b \\ ln(C) \\\end{pmatrix}=\begin{pmatrix}7.986 \\ 27.214 \\\end{pmatrix}$

d. Solving for b and ln(C) using a calculator or a matrix-solving tool, we get:

b = 0.2695
ln(C) = 6.6195

Taking exponential of ln(C) we get C = 760.9305.

Therefore, the values of c are: C = 760.9305.

e. The exponential model in the form Y=C * 10^(bx) is:

Y = 760.9305 * 10^(0.2695x).

(06.07 LC)
The graph below plots the values of y for different values of x
20
15
10
Which correlation coefficient best matches the data plotted on the graph? (1 point)

-0.5
0
0.25
0.99

Answers

The correlation coefficient which best matches the data plotted on the graph is 0.25, the correct option is C.

We are given that;

The graph of different values of x

Now,

we can see that there is a weak positive linear relationship between x and y, as the points are scattered around a slightly upward-sloping line. The closer the points are to the line, the stronger the correlation. The farther the points are from the line, the weaker the correlation. Hence, we can expect the correlation coefficient to be a small positive number, less than 1.

Therefore, by correlation coefficient the answer will be 0.25.

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What does f(t) + g(t) mean in this context?

Answers

The expression f(t) + g(t)  in the context of composite functions mean (f + g)(t)

What does f(t) + g(t) mean

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

f(t) + g(t)

The above means that we add the functions f(t) and g(t) together to form another function i.e. a composite function (f + g)(t)

Another way to write the sum of the functions is (f + g)(t)

So, in this context; f(t) + g(t)  means (f + g)(t)

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Write a function of the form y= A sin (Bx-C)+D that has period 8, phase shift -2, and the range -12 ≤ y ≤-4.

Answers

The general form of the function is:

y = A sin(Bx - C) + D

To determine the specific values of A, B, C, and D that satisfy the given conditions, we can use the following steps:

Period: The period of a sinusoidal function is given by 2π/B, where B is the coefficient of x in the argument of the sine function. In this case, the period is 8, so we have:

2π/B = 8

Solving for B, we get:

B = π/4

Phase shift: The phase shift of a sinusoidal function is given by C/B, where C is the constant inside the argument of the sine function. In this case, the phase shift is -2, so we have:

C/B = -2

Substituting B from step 1, we get:

C/(π/4) = -2

Solving for C, we get:

C = -π/2

Amplitude and vertical shift: The range of the function is given as -12 ≤ y ≤ -4. The amplitude of a sinusoidal function is half the distance between its maximum and minimum values. In this case, the amplitude is:

(amplitude) = (maximum - minimum)/2 = (-4 - (-12))/2 = 4

The vertical shift of the function is given by the constant term D. Since the minimum value of the function is -12, we have:

D + (amplitude) = -12

Substituting the value of the amplitude from above, we get:

D + 4 = -12

Solving for D, we get:

D = -16

Therefore, the function of the form y = A sin(Bx - C) + D that has period 8, phase shift -2, and the range -12 ≤ y ≤ -4 is:

y = 4 sin(π/4 x + π/2) - 16

Find the area and perimeter of the triangle.
8m
3m
9m
4m

Answers

Answer: Broken Math Problem

Step-by-step explanation:

I can prove that 2=1, where is the error?

X = 1
X+X = 1+X
2x = 1+X
2x = X+1
2X-2 = X+1-2
2x-2 = X-1
2 (x-1)/(x-1) = X-1/X-1
2 times 1 = 1 1-1 / 1-1
2 = 1

I subtracted -2
because thats the # I chose to subtract with.

Answers

There is no error in steps while proving 2=1

We have to prove 2=1

Let x=1

Add X on both sides

X+X = 1+X

2x = 1+X

2x = X+1

Subtract 2 from both sides

2X-2 = X+1-2

2x-2 = X-1

2(X-1)=x-1

Divide both sides by x-1

2 (x-1)/(x-1) = X-1/X-1

We get 2=1

Hence, while proving 2=1 there is no error in steps

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