1. If Carter invests $5300 at 7.2% /a and earned $1200 in interest. If this was a simple interest investment, how long did Carter invest her money? 2. Winnie needs a new washer and dryer and he finds one for $2112. He puts $500 up front but needs to take out a loan for the remaining amount. After a year and a half, he has paid off the loan that totaled to $1879. What was the annual interest rate that Winnie was being charged if it was compound semi-annually? Compounding Interest Equation Compound Interest Amount A = P(1 + i)" A= Amount (at the end) ($) P Principal ($) (starting amount) = effective interest rate (as a decimal) n = number of compound periods = # of years x cp cp = compounding factor Interest I=A-P /= Interest earned ($) thlut Day 22 Present Value in Compound Interest (Solving for the Principal) A PV = (1+i)n PV = Present Value ($) (starting amount) A = Amount ($) (at the end, future value) i = effective interest rate (as a decimal) n = number of compound periods = years x cp cp = compounding factor 7/8

Answer:

the difference between 15 and 11 is 4

Step-by-step explanation:

Okay first let's think about this like they are on a number line they both are on the right side of the number line so we don't need negatives

they both have 10 so

15 - 10 = 5

11 - 10 = 1

now we subtract what we have left

5 - 1 = 4

The volatility (standard deviation) of a portfolio consisting of an equal investment in 35 firms of type S can be calculated by taking into account the probabilities and returns of the firms. Given that S firms move together, the volatility will be lower than that of a portfolio consisting of 35 independent firms of type I.

To calculate the volatility of the portfolio, we need to consider the probabilities and returns of the firms. In this case, both types of firms, S and I, have a 70% probability of a 7% return and a 30% probability of a -18% return.

For a portfolio of 35 S firms, since they all move together, the portfolio return will be the average return of the individual firms. The average return is given by (0.7 * 7%) + (0.3 * -18%) = 2.3%.

To calculate the volatility, we need to find the standard deviation of the returns. Since all S firms move together, their returns are perfectly correlated. When returns are perfectly correlated, the standard deviation of the portfolio is equal to the standard deviation of the individual returns divided by the square root of the number of firms.

Assuming the standard deviation of the individual returns is σ, the volatility of the portfolio is given by σ/√n, where n is the number of firms. In this case, n = 35. Thus, the volatility of the portfolio consisting of 35 S firms would be σ/√35.

Similarly, for a portfolio of 35 independent I firms, the calculation would be the same, but the volatility would be higher since the returns of the independent firms are not perfectly correlated.

In conclusion, the volatility (standard deviation) of a portfolio consisting of an equal investment in 35 S firms would be σ/√35, where σ represents the standard deviation of the individual returns.

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The real-world problem involving a related set of two equations is given below:

Problem: Cost of attending a concert  is made up of base price and variable price per ticket. You are planning to attend a concert with your friends and want to know the number of tickets to purchase for lowest overall cost.

The related set of two equations are:

Equation 1: The total cost (C) of attending the concert is given by:

The equation C = B + P x N,

where:

B  = the base price

P  = the price per ticket,

N = the number of tickets purchased.

Equation 2: The maximum budget (M) a person have for attending the concert is:

The  equation M = B + P*X

where:

X = the maximum number of tickets a person can afford.

So by using the values of B, P, and M, you can be able to find the optimal value of N that minimizes the cost C while staying within your own budget M. so, you can now determine ticket amount to minimize costs and stay within budget.

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The polynomial function is h(x)=\(\sqrt[3]{64x^{3}+27x^{6} }\). The degree of the polynomial is 6 and the leading coefficient is 27.

Given that,

The polynomial function is h(x)=\(\sqrt[3]{64x^{3}+27x^{6} }\)

We have to analyze the function to see if it is a polynomial function. State the degree and leading coefficient if the function is a polynomial.

The sum of one or more terms, each of which is either a number or a number multiplied by the independent variable and raised to a positive integer exponent, is known as a polynomial function.

The exponent of the variable, or zero if there is no variable, determines a term's degree.

The biggest term degree is the Degree of the Function.

The Distributive Property is used to join terms having the same Degree.

Usually, terms are presented in order of decreasing Degree.

An nth degree polynomial function of x is often stated as follows:

F(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + aₙ₋₂xⁿ⁻² +... + a₁x + a₀

So,

h(x)=\(\sqrt[3]{64x^{3}+27x^{6} }\\\)

Therefore, the degree of the polynomial is 6 and the leading coefficient is 27.

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Answer:

The outcome table was not given. But find below how to find the experimental probability

Step-by-step explanation:

Experimental Probability = number of times you rolled a three  /   the number of times you rolled the die itself.

Answer:

D

Step-by-step explanation:

Opposite angles are always the same.

\(\sf \: D)∠ \: 2 \: and \: ∠ \: 4\)

\(\sf \: Vertically \: opposite \: angles \: are \: equal \: to \: each \: other. \\ \sf \: The \: other \: options \: are \: linear \: pairs \: and \: they \\ \sf \: may \: or \: may \: not \: be \: equal \: to \: each \: other.\)

Answer ⟶ \(\boxed{\bf{D)∠ \: 2 \: and \: ∠ \: 4}}\)

The correct student's t- distribution requires knowing the degrees of freedom. The degrees of freedom are there for a sample of size n is B) n-1.

Distribution is described as the technique of having items to consumers. An instance of distribution is rice being shipped from Asia to the USA. The frequency of occurrence or quantity of lifestyles.

Distribution manner to spread the product for the duration of the market such that a big quantity of humans should purchase it. Distribution involves doing the following matters. An amazing delivery machine to take the goods into one-of-a-kind geographical regions.

Distribution is one of the four elements of the advertising and marketing mix. Distribution is the method of creating a service or product available for the consumer or enterprise user who needs it. this may be executed without delay through the manufacturer or service company or the usage of indirect channels with vendors or intermediaries.

Disclaimer: The question is incomplete. Please read below to find the missing content.

Question: To select the correct Student's t-distribution requires knowing the degrees of freedom. How many degrees of freedom are there for a sample of size n?

A) n

B) n-1

C) n+1

D) [X - μ / (s / n)]

The degrees of freedom depends on the number of parameters you are estimating.

8=

i-1

In student t distribution we estimate the population mean through sample mean and population standard deviation through sample standard deviation

So here both parameters depend on the sample mean i.e. we just calculate from a sample of size n so

Degrees of freedom for students t distribution is B) n-1

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Using the normal distribution, it is found that there is a 0.9938 = 99.38% probability that the average of these members is less than 35.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, we have that the parameters are given as follows:

\(\mu = 34, \sigma = 4, n = 100, s = \frac{4}{\sqrt{100}} = 0.4\).

The probability that the average of these members is less than 35 is the p-value of Z when X = 35, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{35 - 34}{0.4}\)

Z = 2.5

Z = 2.5 has a p-value of 0.9938.

0.9938 = 99.38% probability that the average of these members is less than 35.

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Answer: the perimeter of the garden is 24 and the area of the garden is 32

Step-by-step explanation:

Perimeter: 4 + 4 + 8 + 8 = 24

Area: 4 x 8 = 32

Answer:

122

Step-by-step explanation:

Answer:

Infinitely Many Solutions!

Steps I used to get the answer :

1. Cancel -3x−3x on both sides.

15=11+4

2. Simplify  11+4 to  15.

15=15

3. Since both sides equal, there are infinitely many solutions.

Infinitely Many Solutions!

Done by NeighborhoodDealer.

Answer:

Step-by-step explanation:

Solve for x:

15 - 3x = 11 - 3x + 4

Subtract 4 from both sides

15 - 3x - 4 = 11 - 3x + 4 - 4

11 - 3x = 11 - 3x

This equation has infinite solutions since both sides of the equation are equal.

The delivery truck transports large and small boxes, each weighing pounds. To calculate the total weight, multiply the weight of each box by the number of boxes, using the formula. Total weight = (Number of large boxes x Weight of large box) + (Number of small boxes x Weight of small box)

Based on the information provided, the delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh pounds each, and the small boxes weigh pounds each. Unfortunately, the number of boxes is missing in the question, so I cannot provide a specific answer. However, I can provide a general formula to calculate the total weight of all the boxes.

To find the total weight of all the boxes, you need to multiply the weight of each box by the number of boxes. Here's the formula:

Total weight = (Number of large boxes x Weight of large box) + (Number of small boxes x Weight of small box)

Please substitute the values of the number of boxes, weight of large box, and weight of small box into the formula to find the total weight.

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their gd7v7gvugvrty

Step-by-step explanation:

7yvtc

Answer:

(x-0)²+(y-0)²=16

Step-by-step explanation:

The formula for the equation of a circle is (x-a)²+(y-b)²=r², with a,b=center coordinates, and r=radius.

Hope this helps!

We need to write the standard equation of circle with , center (0,0) and radius 4 unit . The Standard equation of the circle is:

\(\longrightarrow ( x - h)^2 + (y -k)^2 = r^2\)

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

\(\longrightarrow \bold{x^2 + y^2 = 16 }\)

• Hence the equation of the circle is \(x^2 + y^2 = 16\).

Answer:

Step-by-step explanation:

The distance formula for a number line is very simple:

\(l=|b-a|\)  The absolute value signs make unimportant which value you choose for a and which one you choose for b. Let's let A = -8 and B = 8 as posted on the number line. The distance between them, using the formula, is

\(l=|8-(-8)|\\l=|16|\\l=16\)

Answer:

answer is b

Step-by-step explanation:

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

8

Step-by-step explanation:

An easy way to solve this problem is by first finding 10%. To find 10% of any number simply move the decimal one place to the left. So 160.0 becomes 16.00. Then, because 5% is half of 10% to find the answer divide 16 by 2. Therefore, Sofia made 8 of her 160 free throws.

We are asked to find the values needed for the length CB

The coordinates of points C and B are given as

C(-a, -5b)

Recall that the distance formula is given by

For the given case,

Let us substitute these coordinates into the above distance formula

Therefore, the required values are

Answer:

50a^6b^5

Step-by-step explanation:

I don't see answer choices, but this is the simplified version. To do this, multiply 10*5, a^3 * a^3 (which adds the exponents), and then b^3*b^2.

False. The statement is false. The Naive Bayes method is not typically used to represent dependency structure in a graphical, explicit, and intuitive way.

Naive Bayes is a probabilistic machine learning algorithm that is commonly used for classification tasks. It assumes that the features are conditionally independent given the class label. This assumption simplifies the modeling process by assuming that the features contribute independently to the probability of the class. However, Naive Bayes does not explicitly represent or capture the dependency structure between features.

Graphical models, such as Bayesian networks, are specifically designed to represent and visualize dependency structures among variables. Bayesian networks use graphical representations with nodes and edges to represent variables and their conditional dependencies. Each node in the graph represents a random variable, and the edges indicate the probabilistic dependencies between variables.

While Naive Bayes can be viewed as a special case of a Bayesian network with strong independence assumptions, it does not provide a graphical representation of the dependency structure. Naive Bayes assumes independence among features, which may not reflect the true dependencies present in the data.

Therefore, the statement that the Naive Bayes method is a powerful tool for representing dependency structure in a graphical, explicit, and intuitive way is false. It is more appropriate to use graphical models like Bayesian networks when the explicit representation of dependency structure is desired.

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To find the length of the curve r(t) = sqrt(2)ti, we need to use the arc length formula:L = ∫[a,b] ||r'(t)|| dt,where ||r'(t)|| is the magnitude of the derivative of the curve.

First, we need to find r'(t):

r'(t) = (d/dt) [sqrt(2)ti] = sqrt(2)i

The magnitude of r'(t) is ||r'(t)|| = sqrt(2).

So, the length of the curve is:

L = ∫[0,1] sqrt(2) dt = sqrt(2) * [t] [0,1] = sqrt(2)

Therefore, the length of the curve r(t) = sqrt(2)ti is sqrt(2).

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After answering the presented question, we can conclude that As a fraction: \(\frac{g + 8}{h}\\\)

what is a fraction?

In mathematics, a fraction is a number that represents a component of a whole or a ratio between two things. It is shown as a top number (numerator) divided by a horizontal line, also known as a vinculum, over a bottom number (denominator). For example, the fraction 3/4 indicates three-quarters of a whole divided into four equal parts. A fraction can be expressed using proper fractions, improper fractions, or mixed integers. An appropriate fraction is one with a numerator less than the denominator, such as 2/5.

Using the division symbol:

(g + 8) / h

Hence, After answering the presented question, we can conclude that As a fraction: \(\frac{g + 8}{h}\\\).

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The complete question:

Write the expression in two ways: using the division symbol and as a fraction. Type your answers in the boxes below. The numerator of the quantity is g plus 8 and the denominator is h.

Diffusion and active transport are two ways that substances pass through a cell membrane out of the cell and is denoted as option B.

This is referred to as the process in which molecules move from a region of higher concentration to that of a lower concentration. On the other hand, active transport is the movement of molecules from a region of lower concentration to a region of higher concentration against a gradient through an external energy.

They are both involved in the movement of substances in and out of the cell through the cell membrane thereby making it the correct option.

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Answer:

b= 140 degrees

Step-by-step explanation:

In order to find it, we must know that a lin has an angle of 180.

So woth that, just used that angle to make an equation of

"40+b=180"

Just subtract 40 on both sides and you get

"b=140"

:D

This a questions about angles! Let's see how to solve it:

In this figure, we have a straight angle. A straight angle is a 180 degree angle. In this case, the straight angle is the sum of 40° and b.

So, we can do an equation and solve it. See below:

\(40 + b = 180\\b = 180 - 40\\b = 140\)

Therefore, the measure of \(\angle b\) is 140°.

Answer:

132 inches=11 feet

Step-by-step explanation:

12 inches are in 1 ft

Answer:

11ft = 132 inch

Step-by-step explanation:

You are given a pair of alternate interior angles which are both right angles and are formed by a transversal line cutting two lines. That means the pair of angles are congruent.

Use the Alternate Interior Angles Theorem and by that those two lines must be parallel.

Answer:B

Step-by-step explanation:

Answer: A

Step-by-step explanation:my answer was A and it was correct