Siegell's Locksmith Shop is taking out a mortgage on a new building. It is going to be an interest-only, 12-year balloon mortgage for $350.000. The APR is 3.35%. The last payment will be the balloon payment of the full
principal.
a. Find the total number of monthly payments, not including the final balloon payment.[
b. Find the amount of each monthly payment if the payments are interest-only. Round to the nearest cent
c. Find the difference between the regular monthly payment and the balloon payment, to the nearest hundred dollars.
d. If the mortgage was not a balloon mortgage, what would be the amount of the monthly payment, rounded to the nearest cent?

The function F: R²⇒R²

where, [tex]F([/tex] [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex][tex])[/tex] [tex]= x[/tex][tex]\left[\begin{array}{ccc}1\\3\\\end{array}\right][/tex] [tex]+ 8[/tex] [tex]\left[\begin{array}{ccc}1\\x+y\\\end{array}\right][/tex], is not a linear transformation, as the y-intercept of the given function is not zero, so, we can say that, given function  is not a linear transformation.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

given that,

the function is defined as, F: R²⇒R²

where,[tex]F([/tex] [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex][tex])[/tex] [tex]= x[/tex][tex]\left[\begin{array}{ccc}1\\3\\\end{array}\right][/tex] [tex]+ 8[/tex] [tex]\left[\begin{array}{ccc}1\\x+y\\\end{array}\right][/tex]

so, here, the y-intercept of the function is,  [tex]8[/tex][tex]\left[\begin{array}{ccc}1\\x+y\\\end{array}\right][/tex]  

now, we know that,  [tex]8[/tex][tex]\left[\begin{array}{ccc}1\\x+y\\\end{array}\right][/tex] ≠ 0

so, the y-intercept is not zero.

again, we have,

now, we know that,

A single variable function f(x)=ax+b is not a linear transformation unless its y-intercept b is zero.

we have that,

the given function doesn't have y-intercept = 0.

so, we get, given function  is not a linear transformation.

Hence, The solution is, as the y-intercept of the given function is not zero, so, we can say that, given function  is not a linear transformation.

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Answer:6

Step-by-step explanation:

Answer:

3+3=6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The dashed lines are problem asymptotes, where the denominator is 0. It's showing those at x = 0 and x = 4. Plug in 0 to answer B and you get

(0)(0-4) and that equals 0

Plugging in 4, you get

(4)(4-4) = 4(0) and that also equals 0

0 is what creates that space in the function and disconnects it

The answer to this question is as follows The formula for the letter C is: equation  $1.25C = $72.50

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.

Let C represent the volume of vehicles that passed through the booth.

As $1.25 is the amount collected per vehicle, the following equation represents the total amount collected:

Total = $1.25 plus C

Also, we are aware that $72.50 was collected in one hour, allowing us to create another equation:

$72.50 = $1.25 × C

We may divide both sides by $1.25 to find C:

C = $72.50 ÷ $1.25

C = 58

58 vehicles passed through the booth as a result.

The formula for the letter C is:

$1.25C = $72.50

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Answer: .654 not rounded

Step-by-step explanation:

5.232 divided by 8 is 0.654

The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³

Dilation is the increase or decrease in the size of a figure.

The cone has surface area 360π in² and volume 800π in^3. the cone is dilated, and the surface area of the dilated cone is 2,250π in^2.

Hence:

Scale factor² = dilated cone area / cone surface area

scale factor² = 2250π / 360π

Scale factor = 2.5

Volume of dilated cone = 2.5³ × 800π = 12500π in³

The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³

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Answer:

True

Step-by-step explanation:

Given a function:
[tex]\displaystyle{f(x)=\sin 3x + x}[/tex]

Verify that f(-x) = -f(x) by substitution -- therefore:

[tex]\displaystyle{f(-x) = -f(x)}\\\\\displaystyle{\sin 3\left(-x\right)+\left(-x\right) = -\left(\sin 3x + x\right)}\\\\\displaystyle{\sin \left(-3x\right) - x = -\sin 3x - x}\\\\\displaystyle{-\sin 3x - x = -\sin 3x - x}[/tex]

Both sides are equal, hence f(-x) = -f(x).

From the given data, the only set of numbers that could represent the sides of a right triangle is {9, 24, 26}.

The set of numbers that could represent the three sides of a right triangle is {9, 24, 26}.

To determine if a set of numbers could represent the sides of a right triangle, we can use the Pythagorean theorem, which states that for a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. That is,

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

For the set {9, 24, 26}, we have:

26² = 9² + 24²

676 = 81 + 576

Therefore, the set {9, 24, 26} could represent the three sides of a right triangle.

For the other sets:

{37, 77, 85}: 85² ≠ 37² + 77², so this set does not represent the sides of a right triangle.

{65, 72, 97}: 97² ≠ 65² + 72², so this set does not represent the sides of a right triangle.

{32, 56, 65}: 65² ≠ 32² + 56², so this set does not represent the sides of a right triangle.

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Answer:

Karen got $8.00 per hour for babysitting. Find x, the amount she was paid for 8 hours of babysitting.

Step-by-step explanation:

Answer:

Yes, -1/3(-3m+6-12+15m) and 2(1-2m) are equivalent expressions. When simplified, both expressions can be written as -5m+4. This can be verified by substituting different values for m in both expressions and then simplifying the expressions. By doing so, the same result of -5m+4 will be obtained for both expressions indicating that they are equivalent

Step-by-step explanation:

Answer: -2and^2*(2m-1)^2

Step-by-step explanation: Step by Step Solution

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Reformatting the input :

Changes made to your input should not affect the solution:

(1): "d2"   was replaced by   "d^2".

STEP

1

:

           1

Simplify   —

           3

Equation at the end of step

1

:

     1

 ((((—•(12m-6))•a)•n)•d2)•(1-2m)

     3

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  12m - 6  =   6 • (2m - 1)

Equation at the end of step

3

:

 (((2•(2m-1)•a)•n)•d2)•(1-2m)

STEP

4

:

Equation at the end of step 4

 ((2a • (2m - 1) • n) • d2) • (1 - 2m)

STEP

5

:

Equation at the end of step 5

 (2an • (2m - 1) • d2) • (1 - 2m)

STEP

6

:

Equation at the end of step 6

 2and2 • (2m - 1) • (1 - 2m)

STEP

7

:

7.1    Rewrite   (1-2m)    as  (-1) •  (2m-1)

Multiplying Exponential Expressions:

7.2    Multiply  (2m-1)  by  (2m-1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (2m-1)  and the exponents are :

         1 , as  (2m-1)  is the same number as  (2m-1)1

and   1 , as  (2m-1)  is the same number as  (2m-1)1

The product is therefore,  (2m-1)(1+1) = (2m-1)2

Final result :

 -2and2 • (2m - 1)2

Answer:x=18

Step-by-step explanation:

12/x=16/24

12/x=2/3

x=12*2/3

x=18

It is the last one ...................

Given that the ball is white, the probability that it was taken from Jar 3 is 1/5, or 0.2. Given that the ball is white, there is a 20% likelihood that it was selected from Jar 3.

We must apply Bayes' theorem in order to determine the likelihood that the ball was taken from Jar 3 given that it is white. Let J stand for the scenario in which Jar 3 is chosen, and W for the scenario in which a white ball is drawn. Next, we have:

P(W | J) * P(J) / P = P(J | W) (W)

where P(J) is the prior probability of choosing Jar 3 (1/6), P(W) is the probability of drawing a white ball, and P(W | J) is the probability of drawing a white ball provided that Jar 3 is chosen.

We must apply the law of total probability to determine P(W):

P(W) is equal to P(W | J1) * P(J1), P(W | J2) * P(J2), and P(W | J3) * P. (J3)

where P(W | J1) represents the likelihood that a white ball will be drawn if Jar 1 is chosen (which is 1/2), P(W | J2) represents the likelihood that a white ball will be drawn if Jar 2 is chosen (which is 2/3), and P(W | J3) represents the likelihood that a white ball will be drawn if Jar 3 is chosen (which is 1/2).

Now that the values have been inputted, we can calculate:

P(W) = (1/2 * 1/2) + (2/3 * 1/3) + (1/2 * 1/6) = 5/12

P(J | W) = (1/2 * 1/6) / (5/12) = 1/5

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You should add 115.2 fluid ounces of oil to your 1.5 quarts of gasoline.

An expression is a group of symbols and/or numbers used to represent a quantity or a mathematical relationship between two quantities in mathematics. Variables, constants, as well as operators like addition, subtraction, multiplication, and division, can all be found in an expression.

Since there are 4 quarts in a gallon, 1.5 quarts is equal to 1.5/4 = 0.375 gallons of gasoline.

To determine how much oil to add, we need to use the ratio of 2.4 fl. oz. of oil for every gallon of gasoline.

First, we need to convert the amount of gasoline we have from gallons to fluid ounces:

0.375 gallons x 128 fluid ounces per gallon = 48 fluid ounces of gasoline.

Next, we can use the ratio to find how much oil to add:

2.4 fl. oz. oil: 1 gallon gasoline

x fl. oz. oil: 48 fl. oz. gasoline

Cross-multiplying, we get:

2.4 x 48 = 1 x (x)

115.2 = x

So you should add 115.2 fluid ounces of oil to your 1.5 quarts of gasoline.

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The weekly growth rate of these gnats is approximately 1.38%.

With discrete growth, we may observe change taking place following a particular event. We receive fresh options when we flip a coin. We pay interest once a year. After a successful mating season, young are produced. Change occurs continuously in an economy that is growing. We are unable to remark, "It changed here," in reference to an occurrence. The pattern is always changing (radioactive decay, a bacteria colony, or perfectly compounded interest).

Given that,

G(t) = 500(1.182)t

Using the growth function for 52 weeks = 1 year we have:

= 500(1 + r)⁵²ˣ

where r is the weekly growth rate.

To find the weekly growth rate, we can first rewrite the equation as:

1 + r = (1.182)⁽¹⁾⁵²

1 + r = 1.0138

r = 0.0138

The equivalent equation using the weekly growth factor is:

G(t) = 500(1.0138)⁵²ˣ

The weekly growth rate of these gnats is approximately 1.38%

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By answering the above question, we may infer that Hence, x = -1 and x = equation  5 are the zeros of the function f(x).

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

To apply this technique, the quadratic function must be rewritten in vertex form as follows: f(x) = a(x-h)2 + k, where (h,k) is the vertex of the parabola.

The coefficient -3 from the first two terms is first removed by factoring: [tex]f(x) = -3(x^2 - 4x) + 15.[/tex]

After that, we finish the square enclosed in parenthesis by calculating (4/2)2 = 4:

[tex]F(x) = -3[(x-2)2 - 4] + 15 F(x) = -3(x-2)2 + 27 F(x) = -3[(x-2)2 - 4] + 15[/tex]

The parabola is at (2, 27), and because the squared term's coefficient is negative, the parabola widens downward. Set f(x) = 0 and solve for x to discover the zeros: [tex]0 = -3(x-2)2 + 27 3(x-2)2 = 27 (x-2)2 = 9 x-2 = 9 x = 2 3[/tex]

Hence, x = -1 and x = 5 are the zeros of the function f(x).

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Answer:

Step-by-step explanation:

Let's call the number of lessons attended "x".

Option A: Total cost = $260 + $10x

Option B: Total cost = $30x

We want to find when the two options have the same cost:

$260 + $10x = $30x

Subtracting $10x from both sides:

$260 = $20x

Dividing both sides by $20:

x = 13

Therefore, after attending 13 lessons, the total cost for both options will be the same.

Answer:

5 floors

Step-by-step explanation:

25 - 16 +11 =  20

The elevator is now on the 20th floor.  That is 5 floors away from the 25th floor.

Helping in the name of Jesus.

The constraints of the Chef's objective function are x + y ≥ 325 and

2x + 5y ≤ 600

To represent Chef Mischa's constraints, we can use the following variables

x = Number of vegetarian meals

y = Number of meat meals

Using the above variable definitions and the problem statement, we have the following constraints of linear inequalities:

x + y ≥ 325 (Chef Mischa wants to make at least 325 meals)

2x + 5y ≤ 600 (Chef Mischa's budget is $600)

The above are the constraints

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Answer:

8.10

Step-by-step explanation:

The inequality that represents possible values for the number of cupcakes purchased, c, and the number of brownies purchased, b is:

             (c+b) ≥ 15

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal. However several inequalities are utilised to compare the numbers, whether it is less than or higher than. An inequality symbol has non-equal expressions on both sides. It indicates that the expression on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using inequality symbols.

It is given that the least number of cupcakes and brownies that Salma should buy is 15.

Let the number of cupcakes purchased be c and the number of brownies purchased, b.  

Then the total number of cupcakes and brownies is c + b

This sum should be greater than or equal to 15.

Then the inequality is (c+b) ≥ 15

Therefore the inequality that represents possible values for the number of cupcakes purchased, c, and the number of brownies purchased, b is:

             (c+b) ≥ 15

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The answer of the given question based on  regular octagon ,the area of the regular octagon with center O is approximately 232.98 square units.

Area is  measure of  amount of space inside  2-dimensional figure or shape, usually measured in square units like square centimeters or square meters. It is calculated by multiplying  length and  width of the figure or a shape.

To find the area of a regular octagon, we need to use the following formula:

A = 2(1 + √2) × s²

Since O is the center of the octagon, we can draw lines from O to each vertex of the octagon. This will divide the octagon into 8 congruent isosceles triangles.

Let's call the length of each side of the octagon "s". Then the base of each triangle will also be "s". We can use the Pythagorean theorem to find the length of the other sides of the triangle:

s²+ s² = (2s)²/2

2s² = 4s² - 4s²/2

2s² = 2s²/2

s² = s²/2

s = √2s/2

Now we can substitute this value of s into the formula for the area of the octagon:

A = 2(1 + √2) × s²

A = 2(1 + √2) × (√2s/2)²

A = 2(1 + √2) × 2s²/4

A = (1 + √2) × s²/2

A = (1 + √2) × (17/2)²/2

A ≈ 232.98 square units

Therefore, the area of the regular octagon with centre O is approximately 232.98 square units.

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Answer:

Step-by-step explanation:

The Pythagorean Theorem states that: a^2+b^2=c^2.

Therefore 6^2+8^2= c^2

36+64= 100^2

Then square root that. The square root of 100 is 10.

The length of XY is 6. The length of XZ is 10. The difference is 4 units

Answer:

0.

Step-by-step explanation:

Multiplying 3, -2, 5, -1, and 0, we get:

3 x -2 x 5 x -1 x 0 = 0

So, 3(-2)(5)(-1)(0) = 0.

Answer:

Step-by-step explanation:

5x-2=-10x-1=10x3=30x0=0
0 is the very last answer

Answer:

[tex]\boxed{\mathrm \quad {4177.4 \: cm^3}\quad }[/tex]

Step-by-step explanation:

Volume of a right circular cone with radius r and height  =is  given by the formula

[tex]V = \dfrac{1}{3} \pi r^2 h\\\\\text {We are given}\\\\r = 16.2 \;cm\\h = 15.2\;cm\\\\V = \dfrac{1}{3} \times \pi \times (16.2)^2 \times 15.2\\\\= \dfrac{1}{3} \times \pi \times 262.44 \times 15.2\\\\= 1329.696 \pi cm^3\\\\= 4177.36318 \;cm^3\\\\= 4177.4 \;cm^3 \text{ when rounded to the nearest tenth}[/tex]

Answer:

the height of the trapezoid is 25 yards.

Step-by-step explanation:

The area of a trapezoid is given by the formula:

Area = (1/2) * (b1 + b2) * h

where b1 and b2 are the lengths of the parallel bases and h is the height of the trapezoid.

In this problem, we are given the area of the trapezoid (600 yd^2), as well as the lengths of the two parallel bases (25 yd and 23 yd). Let's use this information to find the height of the trapezoid.

We can start by rearranging the formula for the area to solve for the height:

h = (2 * Area) / (b1 + b2)

Substituting the given values, we get:

h = (2 * 600 yd^2) / (25 yd + 23 yd)

Simplifying, we get:

h = 1200 yd^2 / 48 yd

h = 25 yd

Therefore, the height of the trapezoid is 25 yards.

The solutions are given below.

Gross domestic product is a monetary measure of the market value or the market value of all the final goods and services produced and sold in a specific time period by a country or countries, generally "without double counting the intermediate goods and services used up to produce them".

here, we have,

1a. We can see immediate short run aggregate supply in North vaudeville in column A. This is because the price is fixed while output increases

1b. We can see short run aggregate supply in North vaudeville in column c. This is because output increases with price increase.

1c we can see long run aggregate supply in North vaudeville in column B. This is because output is constant with price increase.

Assuming output per hour of work decreases by 25% for column C then for each price, output is:

2A. Given price P= 110, output is 285(1-0.25) = 213.75

2B. Given price P = 100, output is 260(1-0.25) = 195

2C. Given price P = 95, output is 235(1-0.25) = 176.25

2D. Given price P = 90, output is 210(1-0.25) = 157.50

3. The new data from question 2 reflects a decrease in aggregate supply.

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Answer:

16 1/4

Step-by-step explanation

Answer:

20x + 6x + 2xc

Step-by-step explanation: the only thing you need to do is simply just use the distribute the 2x t every number