Vidal borrows $25,000 from the bank to fund his college education. The interest rate is
6.8%. How much interest will he accrue over four years?

From 1976 until 1987, red M&Ms were removed from packets owing to a research associating the food dye used to color them to cancer.

Arithmetic is defined as working with numbers through addition, subtraction, multiplication, and division. Adding two and two to produce four is an example of arithmetic. Arithmetic is a fundamental branch of mathematics that studies the characteristics of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction. Arithmetic (derived from the Greek word arithmos, "number") relates to the fundamental components of number theory, arts of mensuration (measuring), and numerical computing (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

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The formula for determining simple interest is expressed as

I = PRT/100

where

I = interest earned

R = interest rate

T = number of years

P = principal or amount invested

From the information given,

P = 15000

I = 4200

T = 8

Thus, we have

4200 = (15000 x R x 8)/100

4200 = 1200R

R = 4200/1200

R = 3.5

The required interest rate is 3.5%

The given statement "a structure chart should be more horizontal and less vertical because the main function should make a majority of the user- defined function calls" is FALSE because it should not necessarily be more horizontal and less vertical.

The orientation and structure of a structure chart depends on the specific requirements and characteristics of the system being modeled.

The purpose of a structure chart is to visually represent the components of a system and the relationships between them, not to follow a specific format or layout. The most important consideration when creating a structure chart is to accurately depict the system's functionality and structure in a clear and understandable way.

Therefore, the orientation of a structure chart should be chosen based on the system's needs rather than any arbitrary rules or guidelines.

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Answer:

-7/10 + 7 2/3 = 209/ 30 = 6 29/ 30 ≅ 6.9666667

Hope This Helps!!!

Answer:

6 29/30 or 209/30

Step-by-step explanation:

-7/10+  7 2/3

-7/10+23/3

-21/30+ 230/30

209/30

which is 6 29/30

Answer:

Before coming back up to the surface the maximum depth, Cassidy went was 6.25 ft. below the water surface

Step-by-step explanation:

The height of Cassidy's diving platform above the water = 6 ft.

The equation that models her dive is d = x² - 7·x + 6

Where;

d = Her vertical position or distance from the water surface

x = Here horizontal distance from the platform

At Cassidy's maximum depth, we have;

dd/dx = d(x² - 7·x + 6)/dx = 2·x - 7 = 0

x = 7/2 = 3.5

∴ At Cassidy's maximum depth, x = 3.5 ft.

The maximum depth, \(d_{max}\) = d(3.5) = 3.5² - 7 × 3.5 + 6 = -6.25

The maximum depth, Cassidy went before coming back up to the surface = \(d_{max}\) = -6.25 ft = 6.25 ft. below the surface of the water.

Answer:

F

Step-by-step explanation:

using the cosine ratio in the right triangle and the exact value

cos45° = \(\frac{\sqrt{2} }{2}\) , then

cos45° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{s}{6}\) = \(\frac{\sqrt{2} }{2}\) ( cross- multiply )

2s = 6\(\sqrt{2}\) ( divide both sides by 2 )

s = 3\(\sqrt{2}\)

The length of side s in the given square is 3√2 units. Therefore, option F is the correct answer.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

From the given square, each sides measures s units and the diagonal measures 6 units.

We know that, sinθ=Opposite/Hypotenuse

Now, sin45°=s/6

1/√2 =s/6

s=6/√2

s=3√2

Therefore, option F is the correct answer.

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If every matchbox contains no more than 20% defective matches, then at least 80% of the matches in a box must be intact. The minimum number of intact matches in a 43-match box manufactured by that factory is 34.

To find the minimum number of intact matches in a 43-match box, we need to multiply 43 by 80% (or 0.8):
43 x 0.8 = 34.4
Since we can't have a fraction of a match, we round down to the nearest whole number. Therefore, the minimum number of intact matches in a 43-match box manufactured by that factory is 34.
In a 43-match box manufactured by that factory, no more than 20% of the matches can be defective. To find the minimum number of intact matches, we can calculate the number of defective matches and subtract it from the total.
20% of 43 matches = (20/100) * 43 = 8.6
Since there can't be a fraction of a match, we round up to the nearest whole number, which is 9 defective matches. Now, subtract the number of defective matches from the total:
43 matches - 9 defective matches = 34 intact matches
The minimum number of intact matches in a 43-match box manufactured by that factory is 34.

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Answer:

- 1

Step-by-step explanation:

f(x) = 2x + 3

f( - 2) = 2( - 2) + 3 = - 1

Answer:

30 pizzas

Step-by-step explanation:

You ate thirty because 50-20= 30

Hope this helps! :)

Answer:

(84)^(1/2) cm

Step-by-step explanation:

See attached

Her pupils were 2 * mm after being dilated.

Step 1: Identify the original size of Tori's pupils, which is "mm".
Step 2: Since her pupils were dilated to twice their normal size, multiply the original size by 2.

Calculation: mm * 2

If Tori's pupils were originally x mm in size, and they were dilated to twice their normal size, we can set up the following equation:

2x = size after dilation

To find the size of her pupils after dilation, we need to solve for "size after dilation" in the equation above.

Dividing both sides of the equation by 2, we get:

x = (size after dilation) / 2

Therefore, the size of Tori's pupils after being dilated is x/2 mm.

So, the size of Tori's pupils after being dilated would be 2 * mm, or simply 2mm.

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Answer:

T = 5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4=2/5t + 2

Step 2: Flip the equation.

2/5t + 2 = 4

Step 3: Subtract 2 from both sides.

2/5t + 2 − 2 = 4 −2

2/5t = 2

Step 4: Multiply both sides by 5/2.

(5/2) *(2/5t)= (5/2) *(2)

Answer:

t=5

Answer:

t=5

Step-by-step explanation:

4=2+2/5 t

Subtract 2 from both sides

2=2/5 t

Multiply 2/5 by its reciprocal on both sides so multiply by 5/2

(5/2) times 2 is 5

so t is 5

The probability that the schools in Los Angeles will be closed for four days next year is 0.1680.

In order to comprehend separate events that happen at a steady pace over the course of a specified amount of time, Poisson's distributions are frequently utilized.

Formula for Poisson's distribution:

f(x) = ((λ^x)/x!).(e^(-λ))

x = Event to be calculated for

λ = Expected number of occurrences

P(X = x) = ((λ^x)/x!).(e^(-λ))

Here λ = 3 and x = 4

P(X = 4) = (81 / 4!).(e^(-3))

P(X = 4) = (81 * e^(-3))/24

P(X = 4) = (81 * 0.049)/24

P(X = 4) = 0.1680

Hence, the probability that schools in Los Angeles will be closed for four days next year is 0.1680.

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Answer:

I really hope it's correct that was the first time I did smth like this one

The probability that both responses are correct in percentage is found as 8.33%.

A multiple-choice question having three alternative responses can be found in the quiz.

four-option multiple-choice question

In the opening query;

Each of the three options has a 1/3 chance of being selected.

Regarding the second query:

Each of the four options has a 1/4 chance of being selected.

1/4

Calculating the likelihood that both answers are accurate;

1/3* 1/4 =1/12

According to a percentage

1/12 * 100= 8.33%

Thus, the probability that both responses are correct in percentage is found as 8.33%.

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The complete question is-

A quick quiz consists of a multiple-choice question with 3 possible answers followed by a multiple-choice question with 4 possible answers. If both questions are answered with random guesses, find the probability that both responses are correct.

In a variation of Rubinstein's bargaining model, where the roles of proposer and responder are randomly assigned in each period, we need to determine the stationary subgame perfect equilibrium. Both players are risk-neutral and discount payoffs at a constant rate δ ∈ (0,1).

To find the equilibrium, we need to specify the strategy of each player when they are the proposer and when they are the responder.

When Player 1 is the proposer, they will propose a division of the pie that maximizes their own payoff while taking into account Player 2's expected response. Player 1's strategy can be represented by a function f(p), where f(p) determines the proposed division as a function of the probability p.

When Player 1 is the responder, they will accept any proposal that gives them a payoff greater than or equal to their reservation value. If the proposal is not acceptable, Player 1 receives a payoff of zero.

When Player 2 is the proposer, they will similarly propose a division that maximizes their own payoff while considering Player 1's expected response. Player 2's strategy can be represented by a function g(p), where g(p) determines the proposed division as a function of the probability p.

When Player 2 is the responder, they will also accept any proposal that gives them a payoff greater than or equal to their reservation value. If the proposal is not acceptable, Player 2 receives a payoff of zero.

By specifying these strategies for each player, we can find the stationary subgame perfect equilibrium in this random assignment variation of Rubinstein's bargaining model. The specific functional forms of the strategies would depend on the utility functions, reservation values, and other parameters of the model.

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A residual plot alone does not provide a definitive answer about the appropriateness of the line of best fit. It should be used in conjunction with other diagnostic tools, such as examining the regression coefficients, goodness-of-fit measures (e.g., R-squared), and conducting hypothesis tests.

The residual plot is a graphical tool used to assess the appropriateness of the line of best fit or the regression model for the data. It helps to examine the distribution and patterns of the residuals, which are the differences between the observed data points and the predicted values from the regression model.

In a residual plot, the horizontal axis typically represents the independent variable or the predicted values, while the vertical axis represents the residuals. The residuals are plotted as points or dots, and their pattern can provide insights into the line of best fit.

To determine if the line of best fit is appropriate, you would generally look for the following characteristics in the residual plot:

Randomness: The residuals should appear randomly scattered around the horizontal axis. If there is a clear pattern or structure in the residuals, it suggests that the line of best fit is not capturing all the important information in the data.

Constant variance: The spread of the residuals should remain relatively constant across the range of predicted values. If the spread of the residuals systematically increases or decreases as the predicted values change, it indicates heteroscedasticity, which means the variability of the errors is not constant. This suggests that the line of best fit may not be appropriate for the data.

Zero mean: The residuals should have a mean value close to zero. If the residuals consistently deviate above or below zero, it suggests a systematic bias in the line of best fit.

It's important to note that a residual plot alone does not provide a definitive answer about the appropriateness of the line of best fit. It should be used in conjunction with other diagnostic tools, such as examining the regression coefficients, goodness-of-fit measures (e.g., R-squared), and conducting hypothesis tests.

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Answer: He has 4 apples left.

Step-by-step explanation:

5-1=4

(hope this helps)

Answer:4

Step-by-step explanation: James had 5 apples which later he gave one to aliya so 5-1 is 4

The value of the expression 2 2/3 - (-3 2/6) is 6

The expression is given as:

2 2/3 - (-3 2/6)

Open the bracket

2 2/3 + 3 2/6

Express as improper fractions

8/3 + 20/6

Rewrite as:

16/6 +20/6

Evaluate the sum

36/6

Evaluate the quotient

6

Hence, the value of 2 2/3 - (-3 2/6) is 6

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The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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the initial expression is:

Thus, the two positive whole numbers that are greater than one multiply to 576 and share only the number one in common is 5.

One of the categories that mathematicians have created for numbers is titled whole numbers, and it contains all of the numbers from 0 to infinity.

The specific class or collection of numbers known as whole numbers includes:

Two positive whole numbers greater than 1 are 2 and 3.

2 and 3 does not have any common factor except 1.

sum of 2 and 3 = 5

Thus, the two positive whole integers that are greater than one multiply to 576 and share only the number one in common is 5.

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The mean number of individuals with 20/20 vision is 23.

To find the mean number of individuals with 20/20 vision, we can use the formula for the expected value of a binomial distribution. In this case, the probability of an individual having 20/20 vision is p = 0.33, and the number of trials (i.e. individuals selected) is n = 70.
The formula for the expected value of a binomial distribution is:
E(X) = np
Substituting in our values, we get:
E(X) = 70 x 0.33
E(X) = 23.1
So, the mean number of individuals with 20/20 vision out of 70 selected at random from the population is approximately 23.1. However, since we can't have a fraction of a person, we should round our answer to the nearest whole number.
Therefore, the mean number of individuals with 20/20 vision is 23.

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The amount of baking soda he used is 1.5 teaspoons.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

Given that

When 5 cups of flour are used in a recipe, 2.5 teaspoons of baking soda are required.

Anna wants to reduce the recipe to only 3 cups of flour.

We have to determine

How much baking powder should he use?

According to the question

Let x be the amount of baking soda he used,

A recipe for waffles calls for 5 cups of flour and 2.5 teaspoons of baking powder.

If Jason uses 3 cups of flour.

Then,

The amount of baking soda he used is

x/3 = 2.5/5

solving we get,

x = 1.5

Hence, The amount of baking soda he used is 1.5 teaspoons.

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Answer:

x > 10.4

Step-by-step explanation:

Isolate X by adding 3.5 to each side of the inequality

That leaves you with x > 6.9 + 3.5

To find the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days, we use the simple interest formula as follows:

Simple Interest = (P × R × T)/100Where:P = Principal or amount borrowedR = Rate of interest per annumT = Time in years or fraction of a year110 days ÷ 360 days = 0.3056 (time as a fraction of a year)The rate of interest, 10(1/3)% is equal to 10 + (1/3) percent = 10.33% per annum in decimal form = 0.1033Substituting the values we have into the formula,Simple Interest = (P × R × T)/100= (3,290 × 0.1033 × 0.3056)/100= $100.68 (rounded to the nearest cent)

Therefore, the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68.

A credit union loan is a type of personal loan that can be used for a variety of purposes. One of the most common reasons people take out credit union loans is to purchase big-ticket items like a new computer system. When you take out a loan, you must pay back the amount borrowed plus the interest charged by the lender. The interest rate is usually expressed as a percentage of the amount borrowed and is charged for a specific period of time known as the loan term. Simple interest is a method of calculating interest that is charged only on the principal amount borrowed.

It does not take into account the interest that has already been paid. Simple interest is calculated by multiplying the principal amount borrowed by the interest rate and the length of the loan term. The answer is more than 100 words.The interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68. Therefore, he would pay $3,290 + $100.68 = $3,390.68 in total to the credit union over the loan term. It is important to note that when rounding dollar amounts to the nearest cent, amounts that end in .50 or higher are rounded up to the next highest cent, while amounts that end in .49 or lower are rounded down to the next lowest cent. In this case, $100.6847 would be rounded up to $100.68. In conclusion, the interest charged on a loan can significantly increase the total amount that must be repaid, making it important for borrowers to understand how interest is calculated and the terms of their loan.

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Step-by-step explanation:

There are answers to this problem based on how we interpret this question.

If the question is x^2 + x =2

=> x = 1

Since, 1^2 + 1 = 2.

Another way to interpret this question is 2x+ x = 2

=> 3x = 2

=> x= 2/3

The answer differs based on how we interpret this question.

Hope this helps you.

Answer:

-2

Step-by-step explanation:

The EASIEST way to do this is using the laws of the sum and products of roots.

When you multiply two roots together, you simply get c/a

So, let's start:

x^2 + x = 2

subtract the 2 to get a quadratic equation equal to 0

x^2 + x -2 =0

Now,

a=1

b=1

c=-2

plug b and a into c/a

-(2/1)= -(2)   =   -2

The answer is -2.

It's NOT 1. the answer would be 1 IF it was adding the roots.

Answer:

none of your options are right

Step-by-step explanation:

three : 3, less than : (-), seven : 7, times : (multiplication symbol), a number : (x)

the answer is : 3 - 7 (x)

                       : 3-7x

Answer:

rsv and rsq

Step-by-step explanation

The main goal of a personal budget is to have income be greater than expenses

Budget is an estimate of income and expenditure for a set period of time. It gives a spending plan based on current and future income and expenses.

A personal (household) budget compares your income and expenses for a defined period.

The main goal of a personal budget is to have income be greater than expenses

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