A $2,600 loan at 7.1% was repaid by two equal payments made 45 days and 90 days after the date of the loan. Determine the amount of each payment. Use the loan date as the focal date. (Use 365 days a year. Do not round intermediate calculations and round your final answer to 2 decimal places.)

Answer:

2

Step-by-step explanation:

(-4) + 6

remove the unnecessary parentheses

-4 + 6

calculate the sum which is

2

Answer:

2

Step-by-step explanation:

[-4] + 6 = 2

When two numbers are of different sign, subtract and the result will have the sign of bigger number.

Here the bigger number is 6 and it's sign is positive (+). So , the answer is +2

The coefficients for the expression are:

C₂ = C₀/2

C₃ = C₀/6

C₄ = C₀/24

C₅ = C₀/120

C₆ = C₀/720

To solve the given differential equation y' = xy using the power series substitution y = ∑ Cₙxⁿ, we will first find the derivative of y, then substitute both y and y' into the given equation, and finally determine the coefficients.

Step 1: Find the derivative of y.

y = ∑ Cₙxⁿ

y' = ∑ nCₙxⁿ⁻¹

Step 2: Substitute y and y' into the given equation.

∑ nCₙxⁿ⁻¹ = x ∑ Cₙxⁿ

Step 3: Match the coefficients on both sides of the equation.

For n = 1, C₁ = C₀.

For n = 2, 2C₂ = C₁ => C₂ = C₀/2.

For n = 3, 3C₃ = C₂ => C₃ = C₀/6.

For n = 4, 4C₄ = C₃ => C₄ = C₀/24.

For n = 5, 5C₅ = C₄ => C₅ = C₀/120.

For n = 6, 6C₆ = C₅ => C₆ = C₀/720.

So, the coefficients are:

C₂ = C₀/2

C₃ = C₀/6

C₄ = C₀/24

C₅ = C₀/120

C₆ = C₀/720

Learn more about differential equation.

brainly.com/question/16663279

#SPJ4

A decrease in the price of cotton can have positive effects on the affordability and availability of socks in the market, benefiting consumers by potentially offering lower prices and a wider range of choices.

If the price of cotton falls in the market for a bag of socks, it is likely to have an impact on the overall cost and availability of socks. Cotton is a common material used in the production of socks, and its price plays a significant role in determining the cost of manufacturing.

When the price of cotton falls, it reduces the cost of raw materials for sock manufacturers. As a result, manufacturers may experience lower production costs. This can lead to several outcomes:

1. Decrease in sock prices: With lower production costs, manufacturers have the option to reduce the prices of socks to attract customers. This can result in more affordable socks for consumers, making them more accessible.

2. Increase in sock supply: Lower production costs may incentivize manufacturers to increase their sock production. As a result, the supply of socks in the market could rise, leading to a greater availability of socks for consumers.

3. Potential for improved quality or additional features: Manufacturers may choose to invest the cost savings from lower cotton prices into enhancing the quality of socks or adding extra features. This can result in socks with improved durability, comfort, or design, providing more options for consumers.

It's important to note that the impact of falling cotton prices on sock prices and availability may also depend on other factors, such as production and distribution costs, market competition, and consumer demand. Additionally, the extent to which the price reduction in cotton translates into lower sock prices may vary among different brands and retailers.

Overall, a decrease in the price of cotton can have positive effects on the affordability and availability of socks in the market, benefiting consumers by potentially offering lower prices and a wider range of choices.

Learn more about affordability here

https://brainly.com/question/32019057

#SPJ11

\(\rm 3x^2\)  is the polynomial of one variable with second-order and \(x^2y+3xy^2+1\)  is the polynomial of two variables with third-order

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have polynomials:

\(\rm 3x^2\)  and

\(x^2y+3xy^2+1\)

For \(3x^2\)

In this polynomial, the number of variables is one and the maximum power of x is 2, therefore:

This is the polynomial of one variable with second order.

In polynomial,  \(x^2y+3xy^2+1\) there are two variables x and y.

The maximum power of x is 3( x has a power of 2 and y has a power of 1)

This is the polynomial of two variables with third order.

Thus, \(\rm 3x^2\)  is the polynomial of one variable with second-order and \(x^2y+3xy^2+1\)  is the polynomial of two variables with third-order.

Learn more about Polynomial here:

brainly.com/question/17822016

Answer:

The polynomial 3x2 is a monomial with a degree of 2

The polynomial x2y + 3xy2 + 1 is a trinomial with a degree of 3

Step-by-step explanation:

A bisector is a line that divides a given line or angle into two equal parts or measures. So that the required statements and reasons are given below:

              STATEMENT                                                 REASONS

1. BC bisects <ABD                                 Given

2. m<ABC = \(26^{o}\)                                       Bisection property of an angle

3. 2(m<ABC) = \(52^{o}\)                                   Sum of angles of a bisected angle

4. m<ABC = m<CBD                                Congruent parts of a bisected angle

5. <mABC + m<ABC =  \(52^{o}\)     Sum of an individual angle of a bisected angle

6.  m<ABC + m<CBD = \(52^{o}\)                      Sum of angles of a bisected angle

7. m<ABC + m<CBD = m<ABD          Sum of the angles of a bisected angle

The above statements and reasons are majorly centered on a bisector, the angles formed due to the bisection of a given angle, and the bisected angle.

For more clarifications on the bisection of an angle, visit: https://brainly.com/question/5799105

#SPJ1

Answer:

1. BC bisects <ABD | Given

2.m<ABD=52 | Given

3.m<ABC = m<CBD | Definition of Bisector

4.m<ABC + m<CBD = m<ABD | Angle Addition Postulate

5.m<ABC + m<CBD =52 | Substitution Property

6.m<ABC + m<ABC =52 | Substitution Propery

7.2(m<ABC)=52 | Addition

8.m<ABC=26 | Division Property

Step-by-step explanation:

Edge 2022

Answer:

-4

Step-by-step explanation:

Start with 3(2x + 8) = 0.

Distribute the 3 to the 2x and 8 in the parentheses.

That will give you 6x + 24 = 0.

Subtract 24 from both sides, which will get x by itself and leave you with 6x = -24.

Divide both sides by 6 to get x = -4.

That is your answer.

Hope this helped.

The statement "Mean is 26.33" is true about the mean of the numbers on this deck of cards. The mode is not defined for this data.

To calculate the mean, we need to find the sum of all the numbers on the cards and divide it by the total number of cards. In this case, the sum of the numbers from 1 to 39 is 780. Dividing this sum by the total number of cards (39) gives us a mean of approximately 26.33.

However, the mode refers to the most frequently occurring number in a dataset. In this deck of cards, each number appears only once, so there is no number that occurs more frequently than others. Therefore, the mode is not defined for this data.

In summary, the mean of the numbers on the deck of cards is 26.33, and the mode is not defined.

To learn more about Mean  click here

brainly.com/question/30891252

#SPJ11

Answer:

didn't shade all of them

Answer:

Mean Absolute Deviation (MAD): 1.3125

Mean: 2.5625

Step-by-step explanation:

.

Answer:

40 oz of sugar

Step-by-step explanation:

1) you have the basic measurement for 36 fluid ounces of lemonade, now imagine how many time can 36 go into 180 in order to find how many sugar oz you will need

180/36= 3

This mean 180 is 5 times as much lemonade and you will need 5 times as much sugar.

8ounces of sugar x 5 =  40ounces of sugar to make 180fluid ounces of lemonade

Answer:  3/4

Step-by-step explanation:

The slope = (y2-y1)/(x2-x1) for two points (x1,y1) and (x2,y2).

In this image, the two points are (-3,-2) and (1,1)

We can plug this into the equation.

Slope = (1-(-2))/(1-(-3))

Slope = 3/4

Answer:

slope = \(\frac{3}{4}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = \(\frac{1-(-2)}{1-(-3)}\) = \(\frac{1+2}{1+3}\) = \(\frac{3}{4}\)

The probability of playing 4 games is 17/77 . To construct a discrete probability distribution for the random variable x, we need to calculate the probability of each possible outcome (games played) .

Assign it to its corresponding value. Given the frequency data provided, we can calculate the probabilities as follows: Total number of games played: 17 + 14 + 20 + 26 = 77. (a) Constructed discrete probability distribution: x (games played) | P(x); 4 | 17/77 ≈ 0.221; 5 | 14/77 ≈ 0.182; 6 | 20/77 ≈ 0.260 ; 7 | 26/77 ≈ 0.338. The discrete probability distribution table shows the values of x (games played) and their corresponding probabilities, which are calculated by dividing the frequency of each outcome by the total number of games played.

For example, the probability of playing 4 games is 17/77, approximately 0.221, since there were 17 instances of 4 games played out of the total of 77 games played. Similarly, the probabilities for playing 5, 6, and 7 games are calculated based on their respective frequencies and the total number of games played.

To learn more about probability click here: brainly.com/question/31828911

#SPJ11

Answer:

,,,,,,,,,,,,,,,,,,,,

Answer:

120in

Step-by-step explanation:

Okay, this is going to be a long one so hang onto your hats let's go

So, we first have to find the length that each of the frogs jumped so:

We're going to start with froggy #1, the 2-inch frog:

2 x 20 = 40

So froggy #1 can jump up to 40 inches so we're going to assume that each time our froggies jump, they jump to their full extent:

40 x 3 = 120

So froggy #1 jumped 120 inches

Now, we do the same with froggy #2, the 4-inch frog:

4 x 20 = 80

80 x 3 = 240

So froggy #2 jumped 240 inches

Now, we have to figure out how far ahead froggy #2 is from froggy #1:

240 - 120 = 120

So, the two froggies will end up 120 inches apart

hope this helps:)

Step-by-step explanation:

yaa, but I can't see your diagram...

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

GCF both of 2

Answer:

1:3

Step-by-step explanation:

It’s ratios.

A: 3

B: 9

   36

   129

C: x3

The investment's expected return is 5.95%.

The expected return of an investment is calculated by multiplying the probabilities of each possible return by their respective returns and summing them up. In this case, Gautney Enterprises has provided the probabilities and returns for the investment. By applying the formula, we find that the expected return is 5.95%.

To calculate the standard deviation, we need to determine the variance first. The variance is computed by taking the difference between each possible return and the expected return, squaring those differences, multiplying them by their respective probabilities, and summing them up. Once we have the variance, the standard deviation is simply the square root of the variance. The standard deviation measures the degree of risk associated with an investment.

In this scenario, the expected return of the investment is 5.95%, but we need to consider the standard deviation as well to assess the risk. If the standard deviation is high, it indicates a greater level of uncertainty and potential volatility in returns. A low standard deviation implies a more stable investment.

Without the specific values for each return and their respective probabilities, we cannot calculate the exact standard deviation. However, Gautney Enterprises should compare the calculated expected return and the associated standard deviation to their risk tolerance and investment objectives. If the expected return meets their desired level of return and the standard deviation aligns with their risk appetite, they may consider investing in this security.

Learn more about standard deviation

brainly.com/question/31516010

#SPJ11

Yes.The number of tables needed would be 125 tables.If we divide 745 by 6, we get:

745 ÷ 6 = 124 with a remainder of 1

Since there is a remainder of 1, we need to round up to the next whole number. So the number of tables needed would be:

125 tables

To determine the number of tables needed when dividing 745 by 6, we can perform the division and check for any remainder. In this case, the division yields a quotient of 124 with a remainder of 1. Since there is a remainder, we need to round up to the next whole number, which gives us a total of 125 tables needed. Therefore, if we want to divide 745 people equally into groups of 6, we will need 125 tables to accommodate everyone

Find out more about Remainder

brainly.com/question/28261995

#SPJ4

The monthly payment for a bank loan assuming a one-year repayment period and 13.5% interest is To calculate the monthly payment for a bank loan, we can use the formula:

Monthly payment = Total cost / Number of months

Given that the total cost is $1,800 and the repayment period is one year (12 months), we can substitute these values into the formula:

Monthly payment = $1,800 / 12 = $

Now, let's calculate the total cost for the bank loan:

Total cost = Monthly payment * Number of months

Total cost = $ * 12 = $

For the add-on method of interest calculation with a one-year repayment period and 11.5% interest, the monthly payment is $ (main answer).
The add-on method of interest calculation involves adding the interest to the principal amount and then dividing it by the number of months.

Given that the total cost is $1,800 and the repayment period is one year (12 months), we can calculate the interest as follows:

Interest = Total cost * Interest rate

Interest = $1,800 * 11.5% = $

Now, let's calculate the new principal amount:

New principal amount = Total cost + Interest

New principal amount = $1,800 + $ = $

Finally, we can calculate the monthly payment:

Monthly payment = New principal amount / Number of months

Monthly payment = $ / 12 = $

To know more about interest visit:

https://brainly.com/question/8100492

#SPJ11

Answer:

7.2 weeks

Step-by-step explanation:

12 + \(\frac{7}{3}\) x = 42 - \(\frac{11}{6}\)x  Multiply all the way through by 6 to clear the fractions

72 + 14x = 252 -11x  Add 11x to both sides

72 + 25x = 252  Subtract 72 from both sides

25x = 180  Divide both sides by 25

x = 7.2

The ellipse has semi-major axis length of 5/3, the semi-minor axis length of 5/8

To solve the equation 9\(x^2\) + 64\(y^2\) = 25, we can rearrange it to isolate one of the variables and solve for the other. Let's solve for y.

9\(x^2\) + 64\(y^2\) = 25

Divide both sides by 25:

(9\(x^2\) + 64\(y^2\)) / 25 = 1

Now, we can write the equation in standard form:

\(x^2\)/ \((5/3)^2\) + \(y^2 / (5/8)^2\) = 1

Comparing this equation with the standard form of an ellipse:

\((x - h)^2 / a^2 + (y - k)^2 / b^2\) = 1

We can see that the center of the ellipse is at the point (h, k) = (0, 0), and the semi-major axis length is a = 5/3, while the semi-minor axis length is b = 5/8.

Therefore, the equation represents an ellipse centered at the origin with the semi-major axis length of 5/3 and the semi-minor axis length of 5/8.

The graph of the ellipse will be elongated along the x-axis due to the larger value of a compared to b.

Learn more about ellipse here: https://brainly.com/question/20393030

#SPJ11

An expression is a collection of variables and constants that are bound by some mathematical operation the value for w for the given expression w -5.36=10+w/6 is 18.432.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

w - 5.36 = 10 + w/6

Subtract w/6 both sides,

w - w/6 - 5.36 = 10 + w/6 - w/6

5w/6 = 10 + 5.36

w = 18.432

Hence "The value for w for the given expression w -5.36=10+w/6 is 18.432".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ1

The distance traveled by a particle with position (x, y) as t varies in a given time interval can be determined by integrating the speed of the particle with respect to time over that interval. This integration involves calculating the derivatives of x and y with respect to t, representing the rates of change in the x and y coordinates over time. By integrating the speed function, we obtain the total distance traveled by the particle within the given time interval.

To compare this distance with the length of the curve, we need to consider the curve traced by the particle's path in the (x, y) plane. The length of the curve represents the total distance along the curve, taking into account its shape and curvature. Comparing the distance traveled by the particle with the length of the curve allows us to assess if the particle deviates from a straight path or follows a more complex trajectory, providing insights into the particle's motion characteristics.

To learn more about particle motion, click here:

brainly.com/question/1908965

#SPJ11

The distance traveled by a particle with position (x, y) as t varies in a given time interval, we need to integrate the speed of the particle with respect to time over that interval. This will give us the length of the curve traced by the particle's position.

The distance traveled by a particle is determined by integrating its speed over a given time interval. The speed of the particle is the magnitude of its velocity, which can be calculated using the derivatives of the position function.

Let's assume the particle's position is given by a parametric equation x = f(t) and y = g(t), where t represents time. The velocity of the particle can be found by taking the derivatives of f(t) and g(t) with respect to t.

The speed of the particle is then calculated as the magnitude of the velocity vector, which is the square root of the sum of the squares of the derivatives: sqrt((dx/dt)^2 + (dy/dt)^2).

To find the distance traveled by the particle over a specific time interval, we integrate the speed function over that interval with respect to t. This will give us the length of the curve traced by the particle's position.

In summary, to find the distance traveled by a particle, we calculate the speed as the magnitude of its velocity and integrate the speed function over the given time interval. The result will be the length of the curve traced by the particle's position.

to learn more about length click here:

brainly.com/question/17153671

#SPJ11

Answer:

Step-by-step explanation:

you need to show us the shape so we can work out the question

Answer:

x = -4

Step-by-step explanation:

\(3(x-5)=5x-(3-x)\\\\3x-15=5x-3+x\\\\3x-15=6x-3\\\\-15=3x-3\\\\-12=3x\\\\-4=x\)

Step-by-step explanation:

\(3(x - 5) = 5x - (3 - x) \\ 3x - 15 = 5x - 3 + x \\ 3x - 5x - x = - 3 + 15 \\ - 3x = 12 \\ x = \frac{12}{ - 3} \\ x = - 4\)

I hope it helped U

stay safe stay happy

Answer:

im pretty sure a b g

Step-by-step explanation:

The directional derivative of the function f at the given point in the indicated direction is obtained through the following steps:

Step 1: Compute the gradient of f at the given point.

Step 2: Evaluate the dot product of the gradient and the direction vector to obtain the directional derivative.

To find the directional derivative of f(x, y) = ye^x at the point P(0, 4) in the direction 0 = 2π/3, we first calculate the gradient of f. The gradient of a function is given by the vector (∂f/∂x, ∂f/∂y). Taking the partial derivatives, we have (∂f/∂x = ye^x, ∂f/∂y = e^x). Therefore, the gradient at P(0, 4) is (0, e^0) = (0, 1).

Next, we need to determine the direction vector in the indicated direction. In this case, 0 = 2π/3 corresponds to an angle of 2π/3 in the counterclockwise direction from the positive x-axis. Converting this to Cartesian coordinates, the direction vector is (cos(2π/3), sin(2π/3)) = (-1/2, √3/2).

Finally, we calculate the dot product of the gradient vector (0, 1) and the direction vector (-1/2, √3/2) to find the directional derivative. The dot product is given by (-1/2 * 0) + (√3/2 * 1) = √3/2.

Therefore, the directional derivative of f at P(0, 4) in the direction 0 = 2π/3 is √3/2.

Learn more about the gradient.

brainly.com/question/13020257

#SPJ11

Answer

no yes yes yes

Step-by-step explanation:

Answer:

no, yes, no, yes

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The absolute value of -7 is 7, which is greater than 5

Option A "The absolute value of 5 is greater than the absolute value of -7". is false

It is not true because absolute value of 5 is 5 and absolute value of -7 is 7.

So, absolute value of 7 is greater.

But since it's not. Option A is the correct answer.

By Benjemin