Differentiate the following function: u= 3t 2 +3 t 3

The solution to the given problem is given by

(a) x = 202.2921 USD

(b) y = 95.8132 USD

To solve for the values of x and y in the given arbitrage strategy, let's analyze each step:

1. Borrow x USD at 1.91% today, with a total loan repayment obligation after one year of (1+1.91%)x USD.

2. Convert y USD into CAD at the spot rate of 1.49. This gives us an amount of y * 1.49 CAD.

3. Lock in the 3.79% rate on the deposit amount of 1.49y CAD. After one year, the deposit will grow to \((1+3.79\%) * (1.49y) CAD.\)

4. Simultaneously, enter into a forward contract that converts the full maturity amount of the deposit into USD at the one-year forward rate of USD = 1.41 CAD.

The strategy generates 100 USD today and nothing otherwise. We can set up an equation based on the arbitrage condition:

\((1+1.91\%)x - (1+3.79\%) * (1.49y) * (1/1.41) = 100\ USD\)

Simplifying the equation, we have:

\((1.0191)x - 1.0379 * (1.49y) * (1/1.41) = 100\)

Now we can solve for x and y by rearranging the equation:

\(x = (100 + 1.0379 * (1.49y) * (1/1.41)) / 1.0191\)

Simplifying further:

\(x = 99.0326 + 1.0379 * (1.0574y)\)

From the equation, we can see that x is dependent on y. Therefore, we cannot determine the exact value of x without knowing the value of y.

To find the value of y, we need to set up another equation. The total amount in CAD after one year is given by:

\((1+3.79\%) * (1.49y) CAD\)

Setting this equal to 100 USD (the initial investment):

\((1+3.79\%) * (1.49y) * (1/1.41) = 100\)

Simplifying:

\((1.0379) * (1.49y) * (1/1.41) = 100\)

Solving for y:

\(y = 100 * (1.41/1.49) / (1.0379 * 1.49)\\\\y = 100 * 1.41 / (1.0379 * 1.49)\)

\(y = 95.8132\ USD\)

Therefore, the values are:

(a) \(x = 99.0326 + 1.0379 * (1.0574 * 95.8132) ≈ 99.0326 + 103.2595 ≈ 202.2921\ USD\)

(b) \(y = 95.8132\ USD\)

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Answer:

None.

Step-by-step explanation:

There is no expression for the square root of negative numbers. In other words it is undefined.

Answer:

4√5

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edge 2020

Answer:

It is C Isosceles right triangle

Step-by-step explanation:

BC there is a right angles and AB and BC are congruent.

The value of the given expression will be 3√5.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression c² = 45 will be solved as below:-

c² = 45

Take the square root of the number 45.

c = √45

c = √ 9 x √5

c = 3√5

Therefore, the value of the given expression will be 3√5.

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190 square feet is the area of the sector formed by a central angle measuring 305° in a circle with a radius of 6 ft

Given that the circle has a radius of 6 ft and the central angle measures 305°, we can calculate the area of the sector using the formula:

Area of sector = (θ/360) × π × r²

where θ is the central angle in degrees, r is the radius, and π is a mathematical constant approximately equal to 3.14159.

Plugging in the values, we have:

θ = 305°

r = 6 ft

Area of sector = (305/360) × π × (6 ft)²

Calculating this expression, we find:

Area of sector = (305/360) × 3.14159× (6 ft)²

Area of sector = 5.2737 × 36π ft²

Area of sector = 190.04 ft²

Therefore, the area of the sector formed by a central angle measuring 305° in a circle with a radius of 6 ft is approximately 190.04 square feet.

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Answer:

7m³ - 11m² + 5m + 17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

3m³ - 4m² + 8 - (-4m³ + 7m² - 5m - 9)

Step 2: Simplify

9514 1404 393

Answer:

  B.  (2, 1)

Step-by-step explanation:

As a first guess you might say the right angle will be at the point that has the x-coordinate of A (2) and the y-coordinate of B (1).

You notice that the point (2, 1) is on the list of answer choices, so that is a good choice.

The coordinates of C could be (2, 1).

__

Or, you can plot the points and see what forms a right triangle.

The correct answer is Yes, past age 85 years of age, for every 100 men, there are 200 women.

Given,

In the question:

Your grandmother is 87 years old and she has remarked to you that nearly all of her friends are women. She told you that it is rare to see a man older than age 85. She is correct because, after age 85, for every 100 men, there are __________.

Now, According to the question:

Your grandmother is 87 years old and she told you that all of her friends are women. There is no single man in her circle of friends. She also told that it is rare to see a man over the age of 85. It is because of the fact that women are more in number than man above the age of 85 and this ratio is like 100 men per 200 women, which means the chances of getting a male friend is almost half after the age of 85. So women are more in number than men.

Hence, The correct answer is Yes, past age 85 years of age, for every 100 men, there are 200 women.

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Answer:

(8,0)

Step-by-step explanation

Answer:

3.75

Step-by-step explanation:

25% = 0.25

3(0.25) = 0.75

3 + 0.75 = 3.75

The statements for the function f( x) = 3x ²- 5 are

f( 5)< 1( false)

f( 0) = 1( false)

Statements for the function f(x) = 3x ²- 5

To find the true or false statement we have to substitute the value for x

First, x= 3

f(x) = 3x ²- 5

f(3)= 3( 5)²- 5

f(3) = 75- 5

f(3)= 70.

Thus, the statement" f( 5)< 1" is false.

Now, at x =0

f(x) = 3x ²- 5

f(0) = 3( 0)²- 5

f(0)= 0- 5

f(0)= -5.

Thus, the statement" f( 0) = 1" is false.

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The straight commission offer must be at least as good as the straight commission offer, which requires sales of $12,000 in a week.

Straight Commission: Straight commission can also be referred to as commission-only because it is the only pay an employee receives. There is no base salary or hourly wage included in this pay structure. All compensation is based on an agreed-upon percentage of sales.

Get the complete straight commission offer as the first step.

The straight total commission can be expressed as follows:

A=R x T

A = straight total commission

R=commission rate

T=total sales

In our example,

A=0.06t=0.06 t is replaced by

R=6%=6/100=0.06

T=t in equation 1.

in the 2nd step, the second offer's total value

The total sum of the second offer can be expressed as follows:

A=F+(RT)

A=the amount of income the second company offers

F=weekly fixed wage

R = commission percentage

T = total sales

F in our instance equals $240 weekly.

in the 3rd step

R=4%=4/100=0.04

T=t is replacing A=240+(0.04t)=0.04 t+240 is in equation 2

now equate equations 1 and 2

0.06 t=0.04 t+240

(0.06 t-0.04 t)=240

0.02 t=240

t=240/0.02=12,000

The straight commission offer must be at least as good as the straight commission offer, which requires sales of $12,000 in a week.

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Answer:

(p +1) (4p - 5)

Step-by-step explanation:

1.) Look for 2 numbers that subtract and equal to the middle term (-1)

2.) 4 and 5

3.) 4p^2 +4p-5p - 5

4.) Factor out common factors by grouping the equation by two

5.) 4p(p+1) -5(p+1)

6.) group

7.) (4p - 5) (p+1)

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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Work Shown:

\(\sqrt{\text{x}+3} = 6\\\\\text{x}+3 = 6^2\\\\\text{x}+3 = 36\\\\\text{x} = 36-3\\\\\text{x} = 33\\\\\)

Check:

\(\sqrt{\text{x}+3} = 6\\\\\sqrt{33+3} = 6\\\\\sqrt{36} = 6\\\\6 = 6 \ \ \ \checkmark\\\\\)

The answer is confirmed.

Yes, the equation of velocity is rearranged to find the area under the curve.

The equation of velocity in general is v = d/t

where v = velocity, d = distance, and t = time.

We rearrange this equation to create an equation for distance and the equation of distance determines the area under the curve.

Our motive is to isolate the variable whose equation we want to create. So, in this case, isolate 'd' and move all other variables to the other side.

1. Multiply both sides by t

v × t = d/t × t

2. Cancel the t where appropriate

v × t = d

3. We get the equation for d

d = v × t

Now, this equation is used to find the area under the curve.

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Answer:

this is infinite solutions

Answer:

23

Step-by-step explanation:

Answer:

107, there is two lines after that so 108 109 and the last line is 110 so your answer will be 107 degrees.

Step-by-step explanation:

Answer:

\(\Large \boxed{\sf 107\°}\)

Step-by-step explanation:

The line is in between 106° and 108° so it is 107°

The distance between you and your friend changing is 20 MPH for the bike riding.

Let x be the distance you've got got traveled, y be the space your buddies has traveled, and z be the space among you and your pal. From the hassle it's far obvious that dxdt is 16 mph and dydt is 12 mph.

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To determine whether the proportions of widows and widowers living different lengths of time after the death of their spouse are equal, you can conduct a chi-squared test of independence. This test compares the observed frequencies (the number of widows and widowers living different lengths of time) to the expected frequencies, which are the frequencies that you would expect to see if the two variables (widowhood and length of time survived) were independent.

To perform the chi-squared test, you will need to calculate the chi-squared statistic and the corresponding p-value. If the p-value is less than 0.05, you can conclude that there is a significant difference between the proportions of widows and widowers living different lengths of time after the death of their spouse. If the p-value is greater than 0.05, you cannot conclude that there is a significant difference between the proportions of widows and widowers.

To calculate the chi-squared statistic and p-value, you will need to follow these steps:

Calculate the expected frequencies for each group (widows and widowers) in each time period (less than 5 years, 5-10 years, more than 10 years). To do this, you will need to multiply the total number of widows (100) by the proportion of widows in each time period, and the total number of widowers (100) by the proportion of widowers in each time period.

Subtract the expected frequencies from the observed frequencies and square the result for each time period.

Divide each squared difference by the expected frequency and sum the results. This is the chi-squared statistic.

To calculate the p-value, you will need to consult a chi-squared table or use a statistical software program to determine the p-value corresponding to the chi-squared statistic and the degrees of freedom (which is equal to the number of time periods minus 1).

If the p-value is less than 0.05, you can conclude that there is a significant difference between the proportions of widows and widowers living different lengths of time after the death of their spouse. If the p-value is greater than 0.05, you cannot conclude that there is a significant difference between the proportions of widows and widowers

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Answer:

-1.25

Step-by-step explanation:

When -8 is divided by 6.4 we get -1.25.

Use the concept of division defined as:

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groupings. When dividing numbers, we divide a bigger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

Here we have to find the number when,

-8 divided by 6.4

It can be written as,

-8/6.4

Multiply and divide 10 on both the numerator and denominator,

-80/64

Now divide 80 by 64 then attach the negative sign in the quotient.

The division is attached below.

Hence,

The required number is -1.25.

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Answer:

False

Step-by-step explanation:

The bigger the negative number the less it is, so -11 is less than 11. -33 is less than 33.

Answer:

True

An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative. Zero is neither positive nor negative. Two integers that are the same distance from the origin in opposite directions are called opposites.

Step-by-step explanation:

Answer:

i think its 0.43 but im not sure i hope this helps

Step-by-step explanation:

Answer:13/29

Step-by-step explanation:

\text{Fill out totals:}

Fill out totals:

Has a brother Does not have a brother Total

Has a sister 7 14 21

Does not have a sister 6 2 8

Total 13 16 29

\text{Number of students with a brother: 13}

Number of students with a brother: 13

\text{Number of students in the class: 29}

Number of students in the class: 29

\text{Probability: }\frac{13}{29}

Probability:  

29

13

​

I see positive 2 and positive 4, I also see Negative 1 and Negative 3, try to make an equation with those numbers.

Answer:

800 flyersOn Earth day, a local community wants to distribute 800 flyers, 300 banners, and 250 badges to volunteers in packets containing the three items. What is the greatest number of packets that can be made using all these items if each type of item is equally distributed among the packets?

For SKUs with variable demand, unknown demand, or seasonal demand, other inventory management models, such as the periodic review model or the continuous review model, may be more appropriate.

The fixed order interval EOQ (Economic Order Quantity) model is best used for SKUs with stable demand.

The EOQ model is a mathematical approach to find the optimal order quantity that minimizes the total inventory costs, including ordering costs and holding costs. The fixed order interval EOQ model assumes that the demand rate is constant, and the lead time is fixed and known.

what is constant?

In mathematics and science, a constant is a fixed value that does not change. It is a quantity that remains the same throughout a given problem or system, and it can be represented by a symbol or a numerical value.

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Answer:

what r u even saying

Step-by-step explanation: