You have saved $16,000 for a down payment on a house. Your bank requires a minimum down payment of 15%.
What is the maximum price you can offer for a home in order to have enough money for the down payment?

y''+y-2=0 is the linear homogeneous DE with constant coefficients that has solution  y=c₁e⁻²ˣ+ c₂eˣ

A differential equation is an equation that contains one or more functions with its derivatives.

Given the general solution y=c₁e⁻²ˣ+ c₂eˣ

the set of fundamental solutions becomes eˣ and e⁻²ˣ

This set is corresponding to the distinct roots m= 1, -2of the corresponding auxiliary equation. Hence, the auxiliary equation so formed is

(m-1)(m-(-2))

(m-1)(m+2)

m²+2m-m-2

m²+m-2

The corresponding linear homogeneous DE with constant coefficients is

y''+y-2=0

Hence, y''+y-2=0 is the linear homogeneous DE with constant coefficients that has solution  y=c₁e⁻²ˣ+ c₂eˣ

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The transformation that has occurred is a vertical shift by 3 units down when the function of X = 2X is transformed to X = 2X -3

Function that have the form ax + b = 0—where a and b are constants and x is a variable—are known as linear equations. Because they plot as a single direction, these equations are referred to as "linear which is equals to The slope of this line is dictated by the value of a, and the y-intercept (where the line crosses the y-axis) is determined by the value of b. Solving a linear equation entails determining the value of x that makes the equation true. Algebraic strategies like graphing, substitution, or elimination can be used for this. In a number of disciplines, such as engineering, physics, and finance, linear equations are often utilized.

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Answer:56 days

Step-by-step explanation:8 weeks*7 days= 56 days total

Answer: D. Qufdrant: II

                   sinΘ=12/13

Step-by-step explanation:

[tex]\displaystyle\\cos\theta=-\frac{5}{13} \ \ \ \ sin\theta > 0\\\\sin^2\theta+cos^2\theta=1\\\\sin^2\theta=1-cos^2\theta\\\\sin\theta=б\sqrt{1-cos^2\theta} \\\\sin\theta > 0, \ \ hence\\\\sin\theta=\sqrt{1-cos^2\theta} \\\\sin\theta=\sqrt{1-(-\frac{5}{13})^2 } \\\\sin\theta=\sqrt{1-\frac{25}{169} } \\\\sin\theta=\sqrt{\frac{169-25}{169} } \\\\sin\theta=\sqrt{\frac{144}{169} } \\\\sin\theta=\frac{12}{13}[/tex]

[tex]\displaystyle\\\left \{ {{cos\theta < 0} \atop {sin\theta > 0}} \right. \ \ \ \ \Rightarrow\ \ \ \ quadrant\ II[/tex]

Answer: 1920

Step-by-step explanation:

The interest on the bill will be calculated as follows:

Amount of Loan = $550

Sales Tax = 6% of $550 = $33

Total Loan = $550 + $33 = $583

Interest = 13.25% APR x $583 = $77.13

Late fee = $29

Total Interest = $77.13 + $29 = $106.13

The lower limit of the fifth class for the track of social interactions

for a week is 50.

Allow the class intervals to be 30 - 34, 35 - 39, 40 - 44, 45 - 49, 50 - 54, etc. for some aggregated data.

In this case, the distribution is continuous, and all of the class intervals overlap.

Fifth class ; 50 - 54,

The class boundaries of the range from 50 - 54, 50 is the lower limit while 54 is the upper limit.

Thus, the  lower limit of the fifth class for the track of social interactions

for a week is 50.

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Answer:

option number 2

Step-by-step explanation:

you can see inital and final co ordinate

Answer:

y > -2

Step-by-step explanation:

The range of a function is the set of all possible output values (y-values).

From inspection of the given graph:

Therefore, the most appropriate range from the given answer options is:

Note:  The graph appears to be the exponential function  [tex]y=2^x-2[/tex]  with a horizontal asymptote at y = -2.  This means that the curve will get closer and closer to y = -2 as x approaches negative infinity, but it will never touch it.  The function approaches infinity as x approaches infinity.  Therefore, the range for this function is y > -2

Answer:

It will take him 10 days to get to 135 markers.

[tex]d=12m+15[/tex]

Step-by-step explanation:

(attached)

Answer:

z = 15

Step-by-step explanation:

The sum S of the interior angles of a regular polygon is given by the formula

S = (n-2) x 180 where n is the number sides

Here n = 9

So S = (9-2) x 180 = 7 x 180 = 1,260

There are 9 interior angles and each angle is (5z + 65)

So the sum of all 9 interior angles = 9 (5z + 65)

= 45z + 585

Set these equal to each other and solve for z

45z + 585 = 1260

45z = 675

z = 675/45 = 15

Answer:  $8.64 and $7.79 respectively.

Step-by-step explanation: To determine the cost of one pizza and one cheeseburger, we can set up the following system of equations:

3p + 2c = 41.50

2p + 5c = 43.25

The first equation represents the total cost of the Milleman Family's meal, where 3p represents the cost of 3 pizzas, 2c represents the cost of 2 cheeseburgers, and 41.50 represents the total cost of the meal. The second equation represents the total cost of the Anderson Family's meal, where 2p represents the cost of 2 pizzas, 5c represents the cost of 5 cheeseburgers, and 43.25 represents the total cost of the meal.

By solving this system of equations, we can determine the cost of one pizza and one cheeseburger. For example, we can use the elimination method to solve the system of equations as follows:

First, we can multiply the first equation by 5 and the second equation by 3 to get the following equations:

15p + 10c = 207.50

6p + 15c = 129.75

Next, we can subtract the second equation from the first equation to eliminate the c terms and find the value of p as follows:

15p + 10c = 207.50

6p + 15c = 129.75

9p = 207.50 - 129.75

9p = 77.75

p = 77.75 / 9

p = 8.64

Finally, we can substitute the value of p that we found into one of the original equations to find the value of c as follows:

3p + 2c = 41.50

3(8.64) + 2c = 41.50

25.92 + 2c = 41.50

2c = 41.50 - 25.92

2c = 15.58

c = 15.58 / 2

c = 7.79

Therefore, the cost of one pizza is $8.64 and the cost of one cheeseburger is $7.79.

No, because 4/5 divided by 2 is 2/5 which does not equal 1/3 :)

The number of $ 5 bills = 3

The number of $ 10 bills = 6

The number of $ 20 bills = 15

What is an Equation?

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 be = $ 375

Let the total number of bills = 24

Let the number of $ 5 bills be = x

Let the number of $ 10 bills be = y

Let the number of $ 20 bills be = z

The total number of $ 5 bills x = ( 1/2 ) x number of $ 10 bills

So , x = y/2

Now , the equation will be

The total number of bills = x + y + z

So , x + y + z = 24   be equation (1)

And ,

The total amount = 5x + 10y + 20z

So , 5x + 10y + 20z = 375

Divide by 5 on both sides , we get

x + 2y + 4z = 75   be equation (2)

On simplifying equation (1) and equation (2) , we get

x + y + z = 24

Substituting the value of y , we get

x + 2x + z = 24

3x + z = 24   be equation (3)

And ,

x + 2y + 4z = 75

x + 4x + 4z = 75

5x + 4z = 75   be equation (4)

Multiply equation (3) with 4 , we get

12x + 4z = 96   be equation (5)

Subtract equation (4) from equation (5) , we get

7x = 21

Divide by 7 on both sides , we get

x = 3

Therefore , the number of $ 5 bills is 3

Substitute the value of x , we get

y = 2x

y = 6

Therefore , the number of $ 10 bills is 6

Substitute the value for x and y in equation (1) , we get

x + y + z = 24

3 + 6 + z = 24

z + 9 = 24

Subtract 9 on both sides , we get

z = 15

Therefore , the number of $ 20 bills is 15

Hence ,

The number of $ 5 bills = 3

The number of $ 10 bills = 6

The number of $ 20 bills = 15

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Which expression is equivalent to 27 + 63 ?

3(9 + 18)

9(3 + 7)

21(7 + 3)

7(21 + 9)

The greatest common factor will be 8.

We have three numbers 24, 56 and 72.

The factors of 24 are : 1, 2, 3, 4, 6, 8, 12, 24

The factors of 56 are : 1, 2, 4, 7, 8, 14, 28, 56

The factors of 72 are : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Therefore, the greatest common factor will be 8.

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replace x with 0

f(x) = -x - 5

find f(0)

f(0) = 0-5

f(0) = -5

The original number in the statement is 18.5

The statements in the question are given as:

Let the number be x

So, we have the following equation

2x + 11 = 47.7

Subtract 11 from both sides

2x = 36.7

Divide by 2

x = 18.35

Hence, the number is 18.35

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Answer:

The first one is B

The second one is The y intercept is 8

Step-by-step explanation:

Answer:

43.9823

Step-by-step explanation:

14 / 2 = 7

7 = r

2π(7)

= 43.9823

The image of the scaled copy of the square is M'(-14,-8), N'(-8,-6), O'(-6, -12), and P'(-12, -14)

Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.

From the question, we have the following parameters that can be used in our computation:

This means that

Scaled copy = Scale factor * Vertices of MNOP

So, we have

M'N'O'P' =M(-7,-4), N(-4,-3), O(-3, -6), and P(-6, -7)* 2

Evaluate

M'N'O'P' =M'(-14,-8), N'(-8,-6), O'(-6, -12), and P'(-12, -14)

Hence, the image of the dilation is M'(-14,-8), N'(-8,-6), O'(-6, -12), and P'(-12, -14)

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Complete question

Given that Square MNOP with vertices M(-7,-4), N(-4,-3), O(-3, -6), and P(-6, -7): k = 2

Calculate the image of the scaled copy

Manita's computer installed the software 48 minutes before than Humi's computer.

A unit rate means a rate for one of something.

Given that, Manita's computer takes 3 minutes to download a program 15% and Humi's computer install it in 68 minutes 100%.

Manita's computer;-

15% in 3 min

1% in 1/5 minutes

100% in 1/5x100 = 20 minutes.

Whereas, Humi's computer took 68 minutes to install the same program.

This mean, Manita's computer was faster than Humi's.

68-20 = 48

Hence, Manita's computer installed the software 48 minutes before than Humi's computer.

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The result of the definite double integral over the interval is given as follows:

[tex]\int\int_D f(x,y)dxdy = -120[/tex]

The double integral is solved in two steps, first the inner integral is solved, and then the result of the inner integral is used to calculate the outer integral.

Considering the function and the region, the complete integral in this problem is given as follows:

[tex]\int_{-4}^{2}\int_{-4}^{2} (3x + y)dxdy[/tex]

Then the inner integral in this problem is given as follows:

[tex]I = \int_{-4}^{2} (3x + y)dx[/tex]

We are integrating the variable x, then the variable y is a constant, as thus the result is given as follows:

I = 1.5x² + xy, from x = -4 to x = 2.

Then, applying the Fundamental Theorem of Calculus, the result is given as follows:

I = 1.5(2)² + 2y - 1.5(-4)² + 4y = 6y - 18.

Then the outer integral is calculated as follows:

[tex]O = \int_{-4}^{2} 6y - 18[/tex]

Then the result is given as follows:

O = y² - 18y, from y = -4 to y = 2.

O = (2)² - 18(2) - (-4)² + 18(-4)

O = -120.

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Answer:

this is what I got and hope this helps sorry if it's wrong

Answer:

-5

Step-by-step explanation:

y (4) need to times 2.5 to be 10

so, x (-2) needs to times 2.5 to be the answer

-2 * 2.5 = -5

The linear function for the given graph is y = x + 0.1

What is a linear function?

The graph of a linear function is a straight line. The following is the form of a linear function. y = mx + b. One independent variable and one dependent variable make up a linear function. x and y are the independent and dependent variables, respectively.

The coordinates of the given graph are (0,1) and (10,2)

Then, slope (m) = (2-1)/(10-0) = 1/10 = 0.1

y-intercept (b) = 1

Then, y = 1x + 0.1

Hence, the linear function for the given graph is y = x + 0.1

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Answer:

8(10-b)

Step-by-step explanation:

8(10-b)

open the bracket

80-8b

hope it helps.. please mark brainliest

a. Your income on the 31st day is given as follows: $10,737,418.24

b. Your total income for working 31 days is of: $21,474,836.47

The definition of a geometric sequence is given as follows:

[tex]a_n = a_1(r)^{n - 1}[/tex]

In which the terms are given as follows:

In a geometric sequence, each term is the multiplication of the previous term by the common ratio.

The sequence in this problem is given as follows:

(0.01, 0.02, 0.04, ...).

Hence the first term and the common ratio of the sequence are given as follows:

[tex]a_1 = 0.01, q = 2[/tex]

Thus the definition is of:

[tex]a_n = 0.01(2)^{n - 1}[/tex]

The income on the 31st day is of:

[tex]a_{31} = 0.01(2)^{30} = 10,737,418.24[/tex]

The sum of the first n terms of a geometric sequence is given as follows:

[tex]S_n = a_1\frac{1 - r^n}{1 - r}[/tex]

Then the sum of the first 31 terms is of:

[tex]S_{31} = 0.01\frac{1 - (2)^{31}}{1 - 2} = 21,474,836.47[/tex]

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Answer: y did the chicken cross the road

Step-by-step explanation: ??????

Answer:2.25 or 9/4

first we need to add 6h and 2h together, and we get 8h, and we divide 8 both side will get the fraction 18/8 and we can simplify will get 9/4 if you want more simple and will become 2.25