Calculate the APR for a $2000 loan that is paid off in 12 equal monthly payments. The stated annual interest rate is 8%. Show your work.

Answer:

8 days

Step-by-step explanation:

Let us represent the number of days as x

For Tina

Tina currently has $60 and is earning $4 a day dog walking.

= $60 + $4 × x

= 60 + 4x

For Tony

Tony has $68 and is spending 3$ a day on candy!

= $68 + $3 × x

= 68 + 3x

To calculate the number of days that they will both have the same amount of candy we equate both equations to each other

60 + 4x = 68 + 3x

Collect like terms

4x - 3x = 68 - 60

x = 8 days

Therefore, they will both have the same amount of candy in 8 days

The length on the map representing the 27 miles between the two cities is 18 inches.Therefore, the length on the map would be 18 inches.

To solve this problem, we can use the scale of the map to set up a proportion:

2 inches / 3 miles = x inches / 27 miles

We can then cross-multiply to solve for x:

3x = 2 * 27
3x = 54
x = 18

Therefore, the length on the map would be 18 inches.

To find the length on the map representing the actual distance between two cities, we'll use the given scale:

2 inches represents 3 miles.

First, we'll determine the ratio between inches and miles:

2 inches / 3 miles

The actual distance between the cities is 27 miles. To find the corresponding length on the map, we can set up a proportion:

Length on map (in inches) / 27 miles = 2 inches / 3 miles

Next, we'll solve for the length on the map (in inches):

Length on map (in inches) = (2 inches / 3 miles) * 27 miles

The miles cancel out, and we're left with:

Length on map (in inches) = (2 inches * 27) / 3

Length on map (in inches) = 54 inches / 3

Length on map (in inches) = 18 inches

So, the length on the map representing the 27 miles between the two cities is 18 inches.

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The solution of the given linear system of equations is x = 2, y = 1 and z = 2.

Given that the linear system of equations is

2x + 4y + 2z = 16-2x - 3y + z = -52x + 2y - 3z = -3

To solve the system of equations by Cramer's rule method, arrange them in the form of Ax = B as below:

A = [2, 4, 2; -2, -3, 1; 2, 2, -3], x = [x, y, z] and B = [16, -5, -3]

To find the inverse of the coefficient matrix A⁻¹, first, find the determinant of A as below:

|A| = 2[-3 - 2] - 4[-2 + 2] + 2[-8 + 1] = -12

The determinant is non-zero, hence A is invertible

A⁻¹ = 1/|A| [adj A]

where adj A is the transpose of the cofactor matrix [C] of A:

adj A = [C]T

So, we find [C] by replacing each element of A with its cofactor and taking its transpose matrix as below:

C = [5, 2, 6; 2, -2, 2; -4, -4, -4]

Then [C]T = [5, 2, -4; 2, -2, -4; 6, 2, -4]So, A⁻¹ = 1/|A| [adj A] = 1/(-12) [5, 2, -4; 2, -2, -4; 6, 2, -4] = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2]

To solve the system of equations, we have x = A⁻¹B as below:

x = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2][16; -5; -3] = [2; 1; 2]

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The equation model of the given statement in question is 6 + 7× x.

The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.

In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.

Given that;

6 is added to product of a number and 7

Now,

Let, the number multiplied by 7 be x,

=7*x

6 is added to the product;

= 6 + 7 × x

Therefore, the equation of model will be given as 6 + 7 × x;

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Answer:

112 words in 4 minutes

Step-by-step explanation:

Hoi can type 112 words in 4 minutes. Therefore, Lin's typing speed is 32 words per minute. Therefore, Hoi's typing speed is 28 words per minute. We can see that Lin's typing speed is 4 more (32-28) words per minute more than Hoi, therefore, option B is the correct choice.

The distance from the top left corner of the foundation to the bottom right corner is 27 meters.

The distance between two points in space can be calculated using the Pythagorean theorem. In this case, we want to find the distance from the top left corner of the foundation to the bottom right corner.

To do this, we will use the length and width of the foundation, which are 20 meters and 18 meters respectively.

The Pythagorean theorem states that in a right triangle, the square of the distance (c) between the two points is equal to the sum of the squares of the other two sides (a and b). Mathematically, this can be represented as

=> c² = a² + b².

In our case, the two sides are the length (20m) and width (18m) of the foundation. To find the distance, we will first find the square of c by adding the squares of a and b. So,

=> c² = 20² + 18² = 400 + 324 = 724.

To find the distance, we will take the square root of c².

So,

c = √724 = 26.83

When we rounded to the nearest meter, c = 27m.

Complete Question:

The foundation of a building is in the shape of a rectangle, with a length of 20 meters(m) and a width of 18m. To the nearest meter, what is the distance from top left corner of the foundation to the bottom right corner.

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The probability that all four math majors sit in consecutive seats is;

1/126.

There are a total of;

             9! = 362880 possible ways for the people to sit down at the table, since the order in which they sit matters.

Since there are 9 places that the group of 4 math majors can start, the group must be seated consecutively, so there is only 1 way to seat the math majors once a starting point has been chosen.

To find the number of ways that all four math majors can sit in consecutive seats therefore, we should first seat the math majors and then seat the other people.

There are 5! (5 factorial) ways to seat the other people, since the order in which they sit does not matter. Thus, there are a total of;

              4! * 5! = 4! * 120 = 480 ways for the math majors to sit in consecutive seats.

If we do not consider math majors first, here are 6! = 720 ways to arrange the math, physics, and biology majors around the table, and for each of these arrangements, there are 4! = 24 ways to arrange the math majors in the 4 seats.

Thus, the probability that all four math majors sit in consecutive seats is 480/9! = 1/126.

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Answer:

The tax rate is 9 dollars and 45 cents.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

First, let us clarify what (11, 0) represent

(x, y) ---> (11, 0)

The values are as followed:

x = 11

y = 0

If the problem states that x is the number of days after the promotion started, then it will be 11 days.

When we assert that it has been 11 days, we rule answers A and D.

If the problem states that y is the number of free coffee samples that remain after 11 days (because x is included in this statement), then it will be 0 samples.

Therefore, the answer will be C. After 11 days of the promotion, there will be 0 samples that are left.

Answer:

8%

Step-by-step explanation:

Hope this helps :)

The statement "A function f: t1 -> t2 is total iff for all values x: t1, f x is valuable" is true.

In other words, for every element x in the domain t1, the function f must produce a meaningful output in the codomain t2. To evaluate the truthfulness of this statement, we need to consider the definition of a function and its properties.

A function maps each element from the domain to a unique element in the codomain. Therefore, for a function to be total, it must cover all elements in the domain and assign a valid value in the codomain.

Let's suppose we have a function f: t1 -> t2. To determine if it is total, we need to check if it satisfies the condition for all values x in t1. If there is any element x in t1 for which f does not produce a valid value in t2, then the function is not total.

However, if for every x in t1, f(x) produces a valid value in t2, then the function is considered total.

The evaluation of whether a function is total or not depends on the specific definition of the function and the domain and codomain involved. It is important to ensure that the function is defined for all elements in the domain and that it assigns a meaningful output for each input value.

In summary, a function f: t1 -> t2 is total if it produces a valid value in t2 for every element in the domain t1.

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An important application of the chi-square distribution is testing for goodness of fit and testing for the independence of two variables The correct answer is c. both of the above.

The chi-square distribution is a probability distribution that is used in statistics for hypothesis testing and confidence interval estimation. Two important applications of the chi-square distribution are testing for goodness of fit and testing for the independence of two variables.

Testing for goodness of fit involves comparing observed data to expected data, and determining whether the differences between the observed and expected data are statistically significant. The chi-square distribution is used to calculate a test statistic, which measures the degree of divergence between the observed and expected data.

Testing for the independence of two variables involves examining whether there is a relationship between two categorical variables. The chi-square distribution is used to calculate a test statistic that measures the degree of dependence or independence between the two variables. If the test statistic is large enough, it indicates that there is a significant relationship between the two variables.

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The solution set for x is all values greater than 300. means that any value of x greater than 300 would make the inequality true.

The given inequality is: x - 180 > 120

To solve for x, we need to isolate x on one side of the inequality. We can start by adding 180 to both sides:

x - 180 + 180 > 120 + 180

x > 300

So the solution set for x is all values greater than 300. We can express this in interval notation as (300, infinity) or using set builder notation as {x | x > 300} This means that any value of x greater than 300 would make the inequality true.

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Start with the small triangle on the right:

   35 + 96 + x = 180

   x = 49

Ah, you already have that.  Nice!

Now move to the biggest triangle:

   x + 77 + (35+y) = 180

but x = 49, so

   49 + 77 + 35+y = 180

   y = 19

Answer:

the answer I got is false

\(\text {Hello! Let's Solve this Problem!}\)

\(\text {\underline {The First Step is to Add 4}}\)

\(\text {3x-4+4=14+4}\)

\(\text {3x=18}\)

\(\text {\underline {The Final Step is to Divide 3}}\)

\(\text {3x/3=18/3}\)

\(\text {Your Answer Would Be:}\)

\(\Huge\boxed {x=6}\)

\(\text {Best of Luck!}\)

\(\huge\text{$x=\boxed{6}$}\)

We can solve for the variable \(x\) by isolating it on one side of the equals sign.

Start by adding \(4\) to both sides to cancel out the \(-4\) on the left side of the equation.

\(\begin{aligned}3x-4+4&=14+4\\3x&=18\end{aligned}\)

Now divide both sides of the equation by \(3\) since \(3x\) is the same as \(3*x\) and we want to isolate \(x\), keeping in mind that anything multiplied by \(1\) is itself.

\(\begin{aligned}3x&=18\\3*x&=18\\3*x\div3&=18\div3\\x*3\div3&=18\div3\\x*1&=6\\x&=\boxed{6}\end{aligned}\)

Answer:

T^2g / (4 pi^2)  = L

Step-by-step explanation:

T = 2 pi sqrt( L /g)

Divide each side by 2 pi

T / 2 pi = 2 pi sqrt( L /g) /  2 pi

T / 2 pi = sqrt( L /g)

Square each side

(T / 2 pi) ^2 =( sqrt( L /g))^2

T^2 / (4 pi^2)  = L /g

Multiply each side by g

T^2 / (4 pi^2)   *g= L /g *g

T^2g / (4 pi^2)  = L

Answer:

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

7 red, 5 yellow, and 6 orange  =18

P( red or yellow) = number of red or yellow / total

                           = (5+7)/18

                             =12/18

                             =2/3

Answer:

V≈3310.94ft³

Step-by-step explanation:

explanation is in screenshot.

Answer:

V = 108

Step-by-step explanation:

B = 9 x 4 = 36 Height of Triangular prism is 3 so 36 x 3 = 108

The addition of two numbers is 410+210 is 620.

From the given numbers,

First number is 410

Second number is 210.

One of the arithmetic operations is addition. The total of the numbers is provided. In other words, addition refers to the operation of adding the numbers together. "+" is the symbol used to denote addition. The outcome of the adding procedure is referred to as the sum. Addends are the numbers that are added together.

The following are the rules of addition operation:

Now,

⇒410+210=620

Therefore, the value is 620.

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The probability of drawing exactly 3 black balls out of 5 is 0.2846, or approximately 0.2846 rounded to four decimal places.

To find the probability of drawing exactly 3 black balls out of 5, we need to use the binomial probability formula, which is:

P(X=k) = (n choose k) * p * (1-p)ⁿ⁻ᵏ

where P(X=k) is the probability of getting k successes, n is the number of trials, p is the probability of success, and (n choose k) is the number of ways to choose k items out of n.

In this case, n = 5, k = 3, p = 5/14 (the probability of drawing a black ball on the first draw is 5/14, and this probability decreases with each subsequent draw), and (n choose k) = 5 choose 3 = 10 (the number of ways to choose 3 black balls out of 5).

Plugging these values into the formula, we get:

P(X=3) = (5 choose 3) * (5/14)³ * (9/14)²

= 10 * 0.0752 * 0.3778

= 0.2846

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The annual premium of Susie's insurance company apply as a result of accident is $255 for an year. This is because the monthly insurance payment has been increased by $21.25.

What is Health insurance?

Health insurance or the medical insurance is an insurance which covers the whole or a part of the risk of a person which is incurring the medical expenses. Depending upon the health insurance plan, the risk is shared among many individuals.

Main body:

The increase in monthly insurance payment = $21.25

So, the annual increase in the premium amount paid by Susie will be:

Monthly increase in insurance payment × 12

(As there are 12 months in an year)

Annual increase in premium amount = $21.25 × 12

Annual increase in premium amount = $255

Therefore, the annual increase in the amount of premium paid by Susie for health insurance is $225.

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Answer:

Y= 35+40x

Step-by-step explanation:

You pay $40 a month. The total is Y. And the Beginning Fee is $35! Please mark me brainliest, and have a great day!

Answer:Y= 35+40x

Step-by-step explanation:

The function f(x) is concave downward on the interval (-∞, -1).

a. To determine the interval on which the function f(x) = x³+ 3x² - 9x + 14 is increasing, we need to find the values of x for which the derivative of f(x), denoted as f'(x), is positive.

Taking the derivative of f(x) with respect to x, we get:

f'(x) = 3x² + 6x - 9.

Setting f'(x) > 0, we have:

3x² + 6x - 9 > 0.

Factoring the left-hand side of the inequality, we get:

3(x² + 2x - 3) > 0.

Now, solving for x, we have:

x²+ 2x - 3 > 0.

To find the values of x that satisfy this inequality, we can factor the quadratic expression on the left-hand side:

(x + 3)(x - 1) > 0.

From this expression, we can see that the inequality is satisfied when x < -3 or x > 1. Therefore, the function f(x) is increasing on the intervals (-∞, -3) and (1, ∞), and including the endpoints, the interval on which f(x) is increasing is [-∞, -3] U [1, ∞].

b. To determine the interval on which the function f(x) is concave downward, we need to find the values of x for which the second derivative of f(x), denoted as f''(x), is negative.

Taking the second derivative of f(x) with respect to x, we get:

f''(x) = 6x + 6.

Setting f''(x) < 0, we have:

6x + 6 < 0.

Solving for x, we get:

x < -1.

Therefore, the function f(x) is concave downward on the interval (-∞, -1), including the endpoint, the interval on which f(x) is concave downward is [-∞, -1].

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The Decimal equivalent of the mixed number is 1.875

Given:

Mixed number = 1⁷/₈ inches

First step is to convert  from mixed number  to simple fraction

Simple fraction= [(8 × 1) + 7]/ 8

Simple fraction= (8 + 7) / 8

Simple fraction= 15 / 8

Now let Convert the simple fraction to decimal equivalent:

Decimal equivalent= 15 ÷ 8

Decimal equivalent= 1.875

Therefore the Decimal equivalent of the mixed number is 1.875.

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Answer:

The answer is B.

Step-by-step explanation:

when x is 0, y is 5. So that is the yintercept and 4-5=-1 -4-0=-4 do 1/4

Answer:

Vertex is (0,0)

Axis of Symmetry is 0

Step-by-step explanation:

A vertex is the highest or lowest point of the parabola where the curve ends. An axis of symmetry is what number (on the x-axis) the vertex is on. There is an invisible up and down dotted line that marks the axis of symmetry.

Answer:

ufoufoydiyd8yf86fiyxitdkydyofiyd8yfoyfoycoycoycoycoyfiyfiyfyocyiciycigxitc8txitditxt8xtix8tx8td8yd8yc8yyc8yf58d8txt7x85d85duts7td8txits

Step-by-step explanation:

yfid8yydyofoyf0