A total cost of attending a state university is 19,700 for this year

a student grandparents will pay of this half

an athletic scholarship will pay another 5,000
Which amount is closest to the minimum that the student will need to save every month in order to pay off the remaining cost at the end of 12 months

Answer:

see below

Step-by-step explanation:

1 U.S. dollar = 1.02 Swiss francs

$48 = CHF 48.96

part 2

CHF 10.20 = US$10

yes he has enough

Answer:

85%

Step-by-step explanation:

17 divided by 20, times 100 = 85%

So, 85% of the sheep had black wool.

The probability that a randomly selected ball has a number less than 10 is [tex]$\frac{9}{19}[/tex].

As per the given data:

A bag contains 19 balls numbered 1 through 19.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 and 19

The total number of outcomes is 19.

Here we have to determine the probability that a randomly selected ball has a number less than 10.

Numbers on the balls less than 10 are 1, 2, 3, 4, 5, 6, 7, 8, and 9.

A ball is randomly selected.

The favorable outcomes are 9.

The likelihood of every event depends on the overall number of positive outcomes as well as the number of favorable outcomes.

The formula for probability:

The number of favorable outcomes is divided by the total number of outcomes.

= [tex]$\frac{9}{19}[/tex]

Therefore the probability that a randomly selected ball has a number less than 10 is [tex]$\frac{9}{19}[/tex].

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Answer:

To find the constant of proportionality between the cost of the game tickets and the number of tickets purchased, we can write an equation that represents the relationship between the two values. Let's call the constant of proportionality "k".

Step 1: Write an equation for Rocko's purchase:

12.50 = k * 25

Step 2: Solve for k:

k = 12.50 / 25 = 0.50

Step 3: Write an equation for Louisa's purchase:

17.50 = k * 36

Step 4: Substitute the value of k from step 2 into the equation:

17.50 = 0.50 * 36

Step 5: Check if the value of k is the same for both equations:

17.50 / 36 = 0.50

The constant of proportionality is 0.50, which means that for each additional game ticket purchased, the cost increases by $0.50.

The amount of candy each person gets is given by the equation A = 1/20 of the candy

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount of candy each person receives is A

Now , the amount of candy = 1/5 of the candy

The number of friends = 4 friends

So , the amount of candy each person gets A = amount of candy / number of friends

Substituting the values in the equation , we get

The amount of candy each person gets A = ( 1/5 ) / 4

On simplifying the equation , we get

The amount of candy each person gets A = 1/20 of the candy

Hence , the equation is A = 1/20

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Answer:

A

Step-by-step explanation:

Mateo has a balance of 1,460.89 dollars, and he knows that check 354 was for 25.79 dollars. Therefore, to find the amount, in dollars, X, of check 353, Mateo needs to subtract the known amount of check 354 from his current balance.

So, the equation that can be used to find the amount of check 353 is:

1,460.89 - 25.79 = X

Thus the correct answer is:

A. 1,225.70 + x = 1,460.89

The probability of the tires purchased being made in the United States, given that the purchaser has tires balanced immediately and requesting front-end alignment is P(A|B∩C) = 0.676.

P(A∩B∩C) = P(A) * P(B|A) * P(C|A∩B) = 0.75 * 0.9 * 0.8 = 0.504

P(B∩C) = P(B|A) * P(C|A∩B) + P(B|A') * P(C|A'∩B) = 0.9 * 0.8 + 0.8 * 0.6 = 0.744

P(C) = P(C|A) * P(A) + P(C|A') * P(A') = 0.8 * 0.75 + 0.7 * 0.25 = 0.725

P(A|B∩C) = P(A∩B∩C) / P(B∩C) = 0.504 / 0.744 = 0.676

The probability of customers purchasing a full set of tires at a particular tire store, and the events of the tires purchased being made in the United States, the purchaser having tires balanced immediately, and the purchaser requesting front-end alignment, is P(A∩B∩C) = 0.504. The probability of the purchaser having tires balanced immediately and requesting front-end alignment is P(B∩C) = 0.744. The probability of the purchaser requesting front-end alignment is P(C) = 0.725. The probability of the tires purchased being made in the United States, given that the purchaser has tires balanced immediately and requesting front-end alignment is P(A|B∩C) = 0.676.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{ORIGINAL equation:}[/tex]
[tex]\mathsf{\dfrac{2}{3}y - 2(\dfrac{4}{3}y + z)}[/tex]

[tex]\huge\textbf{DISTRIBUTE \boxed{\rm{\bf -2}} within the}\\\\\huge\textbf{parentheses:}[/tex]

[tex]\mathsf{\dfrac{2}{3}y - 2(\dfrac{4}{3}y + z)}[/tex]

[tex]\mathsf{= \dfrac{2}{3}y - 2(\dfrac{4}{3}y) - 2(z)}[/tex]

[tex]\mathsf{= \dfrac{2}{3}y - \dfrac{8}{3}y - 2z}[/tex]

[tex]\huge\textbf{COMBINE the like terms:}[/tex]

[tex]\mathsf{= (\dfrac{2}{3}y - \dfrac{8}{3}y) - (2z)}[/tex]

[tex]\mathsf{= \dfrac{2}{3}y - \dfrac{8}{3}y - 2z}[/tex]

[tex]\mathsf{-2y - 2z}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{-2y - 2z}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The point (3, -2) can be classified as a local maximum of the polynomial function f(x).

What is polynomial ?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

In this case, the values f(3) = -2, f'(3) = 0, and f''(3) = -2 give us information about the graph of the polynomial function f(x) at the point x = 3.

First, f(3) = -2 means that the y-coordinate of the point (3, -2) is -2, so the point (3, -2) is on the graph of f(x).

Second, f'(3) = 0 means that the slope of the tangent line to the graph of f(x) at the point x = 3 is 0. This means that at x = 3, the graph of f(x) has a horizontal tangent line, which is a sign of a local maximum or minimum of the function.

Third, f''(3) = -2 means that the second derivative of f(x) at x = 3 is -2. This means that the graph of f(x) is concave down at x = 3. A concave down graph means that the function is decreasing at x = 3, so the point (3, -2) is a local maximum of the function.

Therefore, the point (3, -2) can be classified as a local maximum of the polynomial function f(x).

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11101001 can be written as 101001 x 101 + 1. To divide 1101001 by 101, the first step is to divide 101001 by 101 without the remainder.

The result of this division is 1000. Then, take the remainder of 1 and place it next to the 1000 to get 10001. Divide 10001 by 101. The result of this division is 99. Take the remainder of 0 and place it next to the 99 to get 990. Divide 990 by 101. The result of this division is 9. Take the remainder of 9 and place it next to the 9 to get 99. Divide 99 by 101. The result of this division is 0. Take the remainder of 99 and place it next to the 0 to get 990. Divide 990 by 101. The result of this division is 9. The answer is 1101.11.

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The radius of convergence R of the Taylor series is 2

The term convergence in math is defined as the process of a sequence or other function converging to a limit in a metric space.

Here we have know that the expression is written as,

=> f(x)=ln x, c=2.

By using the Taylor series formula we can write the expression like the following,

=> f(x) = ln(2) + ∑ (-1)ⁿ⁺¹ / n (2ⁿ)

Then the above power series will converge if and only if:

[tex]= > \lim_{n \to \infty} |\frac{-1}{(1+\frac{1}{n} )\times2}\times(x-2) | < 1[/tex]

When we simplify this one then we get,

=> |x-2/2| < 1

Then the value of x lies between 0 to 4.

And the Radius of convergent is 2.

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Answer: -38.705

Step-by-step explanation:

(-38.71) - (-38.7)

= -38.71 + 38.7

= -0.01

              -0.01 ÷ 2  = -0.005

Then add it to -38.7:

 =   (-0.005) + (-38.7)

  =  -0.005 + 38.7

  =  -38.705  

Answer:

[tex]+, -, \times[/tex]

Step-by-step explanation:

This is one of those questions where trial and error are used.

Trying out different combos until I get the right answer:

[tex]8-6+4\times2=10[/tex]

[tex]8+6-4\times2=6[/tex]

Nice! The correct answer is [tex]+, -, \times[/tex]

The rate of change of the area of square with side 10 and rate of change of side is -3 per second is -60.

We have, For all sides of a square is

Rate of changing per second = - 3

Let "x" be side of square. So, x = 10. We have to determine the rate of change of the area. So, Rate of change in side ,x per unit time = dx/dt = -3 . As we know, the area of a polygon is equals to total space occupied by shape or polygon.

So, Area of square, A = side × side . In this case, Area of square , A = x² --(1)

Differentiating equation (1) with respect to time "t",

=> dA/dt = d/dt ( x²)

=> dA/dt = 2x dx/dt ( using derivative formula )

here,dx/dt --> rate of changing of side of square

Substitute the value of dx/dt = -3 in above derivative, dA/dt = 2x dx/dt

=> dA/dt = 2x (-3)

=> dA/dt = 2×(10)(-3) ( since side, x = 10)

=> dA/dt = -60

Hence, required rate of change of area is -60.

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In finance, a dividend is a portion of a company's profits that is distributed to its shareholders. Dividends can be paid in cash or in the form of additional shares of stock. It is a way for a company to return some of its profits to its shareholders.

The information provided for Windwept, Inc. for 2017 includes its income statement and balance sheet. The income statement shows the company's net sales, cost of goods sold, depreciation, earnings before interest and taxes, interest paid, taxable income, taxes, and net income.

The balance sheet provides information on the company's assets, liabilities, and equity, including cash, accounts receivable, inventory, and long-term debt.

However, the information provided does not include the total amount of dividends paid by the company. Therefore, it is not possible to determine the total dividends paid by Windwept, Inc. for 2017 based on the information given.

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The area of the region which is common after rotation of 45 degrees between the two squares is equal to 7.46 cm² and area of the blue region which is swept out by interior region is 1.5442cm².

Measure of the side of the square = 3cm

Degrees of rotation of the square by keeping center fixed = 45 degrees

The region which is swept out by the interior of the square

= Four isosceles right triangles formed at the corners

Sides of the each  isosceles right triangle be 's'

Hypotenuse = s√2

Side of the square ABCD is :

s + s√2 + s = 3

⇒ s = 3 / ( 2 + √2 )

⇒ s= 0.8787

Area of the isosceles right triangle formed at the corner

= s² /2

= 0.8787² /2

Area of four triangles = 4 (0.8787² /2)

                                   = 1.5442cm²

Area of the left octagon

= Area of square ABCD - Area of four triangles at the corners

= 3² - 1.5442

= 9 - 1.5442

= 7.456 cm²

=7.46 cm²

Therefore, the area of the region swept out of the square is 1.5442cm² and the area of the region common between two squares is 7.46cm².

The given question is incomplete, I answer the question in general according to my knowledge:

A square ABCD, with sides of 3 cm, is rotated by 45 degrees keeping its center fixed to result into another square, PQRS. What is the area of the region common to the two squares? what is the area of the blue region swept out by the interior of the square shown below?

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A linear inequality that forms a system of linear inequalities with y > x - 1, whose solution set is the empty set, is y < x - 1.

When taken together, y > x - 1 and y < x - 1 form a system of linear inequalities, but these two inequalities are contradictory and cannot both be true at the same time. Therefore, the solution set of this system is the empty set, meaning there are no solutions that satisfy both inequalities.

To explain in detail, consider the line y = x - 1. When x = 1, y = 0. If y > x - 1, then y must be greater than 0 when x = 1. But if y < x - 1, then y must be less than 0 when x = 1. These two inequalities cannot both be true at the same time, so the solution set of the system is the empty set.

This shows that when two contradictory linear inequalities are taken together, their solution set is the empty set. In this case, y > x - 1 and y < x - 1 are contradictory, and so their solution set is the empty set.

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--The given question is incomplete; the complete question is

"Write a linear inequality that, when taken with y > x - 1, forms a system of linear inequalities whose solution set is the empty set."

this is hard

Step-by-step explanation:

I think its 3.89 p/s

The number of non-zero values in a tridiagonal matrix increases with the size of the matrix.

A tridiagonal matrix is a type of matrix that consists of three diagonals. The main diagonal is the diagonal that runs from the top left corner of the matrix to the bottom right corner. The secondary diagonal is the diagonal that runs from the top right corner of the matrix to the bottom left corner. The third diagonal is the diagonal that runs from the top left corner of the matrix to the bottom right corner, one row above the main diagonal. The number of non-zero values in a tridiagonal matrix of size n x n can be calculated using the formula: Nnz = 2n + (n-2). For example, for a tridiagonal matrix of size 4 x 4, the number of non-zero values would be 2 x 4 + (4-2) = 10. In general, the number of non-zero values in a tridiagonal matrix increases with the size of the matrix.

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Answer: look below love :))

Step-by-step explanation: To find out how much Amir will have in the account after 23 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A is the final amount

P is the initial principal (the amount Amir deposited)

r is the annual interest rate (2.25%)

n is the number of times the interest is compounded per year (let's assume it is compounded annually)

t is the number of years

So, we can plug in the given values:

A = 1390(1 + 0.0225)^(1*23)

A = 1390(1.0225)^(23)

A = 1390 * 2.6388955

A = 3655.922

So Amir will have £3655.922 in the account after 23 years with 2.25% compound interest.

The number is given by the equation A = 18

Numbers that divide an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal parts. A factor is a number that divides another number, leaving no remainder

Given data ,

Let the inequality be represented as A

Now , the value of A is

15 < A < 20   be equation (1)

The number lies between 15 and 20

when A = 18

The factors of 18 = 1 , 2 , 3 , 6 , 9 , 18

So , the number 18 has the prime factors as 2 and 3

Hence , the number is A = 18

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Assuming the location has a diurnal tide type, the angler should plan to arrive to start fishing at 12:15 pm on Saturday, two days after the high tide on Thursday.

This is because with a diurnal tide type, the high tide occurs at the same time each day, so the angler can expect the high tide to occur at the same time on Saturday as it did on Thursday.

A diurnal tide type is a type of tidal pattern where there is one high tide and one low tide per day. This type of tide is most commonly seen in areas with small and shallow bodies of water, such as bays and estuaries. In diurnal tidal systems, the times of high and low tide usually occur at the same time each day. The height of the tide also usually remains relatively constant over time.

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On solving the provided question we can say that so by SAS triangles are congruent

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

BC = HI

AB = HG

angle ABC = IHG

so by SAS triangles are congruent

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{17n + 9 - 47n}[/tex]

[tex]\huge\textbf{COMBINE the LIKE TERMS}[/tex]

[tex]\mathsf{= (17n - 47n) + (9)}[/tex]

[tex]\mathsf{= 17n - 47n + 9}[/tex]

[tex]\mathsf{= -30n + 9}[/tex]

[tex]\huge\text{Therefore, your answer SHOULD be:}[/tex]
[tex]\huge\boxed{\mathsf{-30n + 9}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

Step-by-step explanation:

2.40X+1.80(10-X)=21.602.40X+18-1.8X=21.60.6X=21.60-18.6X=3.6X=3.6/.6X=6 PACKS OF $2.40 CUPS.

There are three 6- digit numbers divisible by 36.

To decide if a fraction has to be decreased, dividesibility rules can be applied. The patterns that appear when we list the multiples of any number serve as the foundation for the rules.

Given:

We have 225A7B

Now, we will substitute A and B 0, 1 , 2.....9 to get the combination.

Also, A number is divisible by 36 if the number is divisible by 4 and 9.

So, take A=0 and B= 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

225070 is not divisible by 4 thus not divisible by 36.

and, 225071 is not divisible by 4 thus not divisible by 36.

and, 225072 is divisible by 4 and 9 thus divisible by 36.

and, 225073 is not divisible by 4 thus not divisible by 36.

and, 225074 is not divisible by 4 thus not divisible by 36.

and, 225075 is not divisible by 4 thus not divisible by 36.

and, 225076 is not divisible by 4 thus not divisible by 36.

and, 225077 is not divisible by 4 thus not divisible by 36.

and, 225078 is not divisible by 4 thus not divisible by 36.

and, 225079 is not divisible by 4 thus not divisible by 36.

Similarly, we can find 225576 & 225972 divisible by 36.

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Answer:

see below

Step-by-step explanation:

The circumference of a circle is 12πcm. = 2πr

so radius =6

diameter =2r =12

area = πr² =36π

The radius of the circle be 6 cm and diameter be the double of radius, diameter be 12 cm then the area of the circle be 36π cm².

A circle is round with no sides or corners. Circles can be big and small. Circles can be any color. Being round with no sides or corners is the defining attribute of a circle.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”.

A circle is simply a round shape that has no corners or line segments. It is a closed curve shape in geometry. The points of circle are at a fixed distance from the center.

Let r be the radius of a circle, then its circumference of the circle be [tex]$2 \pi r$[/tex] and area of the circle be [tex]$\pi r^2$[/tex].

Circumference exists given to be [tex]$12 \pi$[/tex], we get

[tex]$$2 \pi r=12 \pi$$[/tex]

simplifying the above equation, we get

[tex]$r=\frac{12 \pi}{2 \pi}[/tex] = 6 cm

The radius of the circle be 6 cm and diameter be the double of radius, diameter exists 2 × 6 = 12 cm.

Area of the circle be [tex]$\pi \times 6^2=36 \pi \mathrm{cm}^2$[/tex].

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The probability that a person who passes through the security system is without any security hazards is 0.99.

Let A be the event that the person passed through the checkpoint

Let X be the event of a person being a hazard

Now, according to the problem,

P(X) = 0.023

P(not A/not X) = 0.015

P(A/X) = 0.01

We need to find P(A/not X)

Now we know that the conditional probability P(Q/R)

= P(Q ∩ R) / P(R)

We need to find P(A/not X) we need to know P(A ∩ not X) and P(not X)

We know that

P(Q/notR) = 1 - P(Q/R)

Hence P(A/ not X) = 1 - p(A/X)

= 1 - 0.01

= 0.99

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