Find the value of x. Round to the nearest tenth.

The Lindsey should save around $28,000 for the down payment. If she wants to expedite her savings, she can look into cutting down expenses or increasing her income.

Congratulations to Lindsey for being debt-free and having a fully funded emergency fund! As for her question, the down payment for a house usually ranges from 3% to 20% of the home's purchase price.

Based on Lindsey's desired home worth $140,000, the down payment can range from $4,200 (3%) to $28,000 (20%).

However, it's recommended to aim for a 20% down payment to avoid private mortgage insurance (PMI) and to lower monthly payments. Best of luck to Lindsey on her journey towards homeownership

To learn more about  : expenses

https://brainly.com/question/30967676

#SPJ11

Answer:

S₁₆ = 344

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]

     = 8 (- 2 + 45)

     = 8 × 43

     = 344

The volume of a Rectangular prism is given as

Where l=lenght=7cm

h=height=8cn, w=width=5cm

Substitute the paramater into the formula above

Hence, the volume of the rectangular prism is 280cm³

The transformation of f(x) to p(x) is that (a) the graph is reflected and shifted down

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

The functions f(x) and g(x)

In the function equations, we can see that

f(x) = x²

p(x) = -f(x) - 3

So, we have

Vertical Difference = 0 - 3

Evaluate

Vertical Difference = - 3

This means that the transformation of f(x) to p(x) is that f(x) is reflected and shifted down 3 units to p(x).

Read more about transformation at

brainly.com/question/27224272

#SPJ1

Answer:

B. Does early exposure to peanuts in small amounts or complete avoidance of peanuts better reduce peanut allergy in children with a known allergy to peanuts?

Step-by-step explanation:

Remember we are told there's already a question whether pediatricians should recommend early exposure or avoidance. Thus, the research question should answer these two issues (early exposure or avoidance).

Hence, the question we are asking is: Does early exposure to peanuts in small amounts or complete avoidance of peanuts better reduce peanut allergy in children with a known allergy to peanuts?

a. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.

b. The tennis ball is initially at a height of 126 feet above the ground.

a. The x-coordinate of the vertex is 2. To find the y-coordinate, we substitute this value back into the equation:

h(2) = -14(2)² + 56(2) + 126

h(2) = -14(4) + 112 + 126

h(2) = -56 + 112 + 126

h(2) = 182

Therefore, the vertex of the equation is (2, 182). In this context, the vertex represents the highest point reached by the tennis ball during its trajectory. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.

b. In order to find the y-intercept, we set t equal to zero and evaluate h(t):

h(0) = -14(0)² + 56(0) + 126

h(0) = 126

The y-intercept is 126. In this context, the y-intercept represents the initial height of the ball when it is thrown. Therefore, the tennis ball is initially at a height of 126 feet above the ground.

Learn more about equations

https://brainly.com/question/2972832

#SPJ1

The system of equations is.

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

And the solutions are y = 50 and x = 10.

Let's define the two variables:

With the given information we can write two equations, then the system will be:

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

Now let's solve it.

We can isolate x on the first  to get:

\(\text{x} = 60 - \text{y}\)

Replace that in the other equation to get:

\(15\times(60 - \text{y}) + 10\text{y} = 800\)

\(-2\bold{y} = 900 - 800\)

\(-2\bold{y} = 100\)

\(\text{y} = \dfrac{100}{-2} = \bold{50}\)

Then \(\bold{x=10}\).

Therefore, the solutions are y = 50 and x = 10.

Learn more about systems of equations at:

https://brainly.com/question/31812807

The new vertices of the figure are (4,8), (16,28), (8,-20).

To find the new vertices of the figure after the transformation with a scale factor of 4, we can multiply the coordinates of each vertex by 4.

Therefore, the new vertices of the figure after the transformation are (4, 8), (16, 28), and (8, -20).

The answer is (B) (4,8), (16,28), (8,-20).

Learn more about Transformation here:

https://brainly.com/question/13801312

#SPJ1

Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

Answer:

To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:

where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:

Simplifying this equation, we get:

Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.

|

|

|

|

| /

| /

| /

-------+---------

|

|

|

|

|

|

Using the given information, the total distance travelled by the golf ball is 288 m

From the question, we are to calculate the total distance travelled by the golf ball

The distance travelled by the golf ball can be calculated by using the formula,

Distance = Speed × Time

From the given information,

The golf ball rolls at a speed of 8 m/s for 12 seconds

Thus,

The distance travelled at this time is

Distance = 8 m/s × 12 s

Distance = 96 m

Also,

Mandy hits the golf ball and it rolls for 16 seconds at a speed of 12 m/s

The distance travelled at this time is

Distance = 12 m/s × 16 s

Distance = 192 m

The total distance travelled by the golf ball is 96 m + 192 m

=

Hence, the total distance travelled by the golf ball is 288 m

Learn more on Calculating total distance here: https://brainly.com/question/11607177

#SPJ1

Answer:

D

Step-by-step explanation:

Plug in the coordinates and find out!

a. 5=9+14 This is wrong so a is not and option

b. 5=9-14 also wrong

c. 5=-9-14 also wrong

d. 5=-9+14 This is right! Plug in the other coordinates -1=-15+14

IT works!

Answer: D

Step-by-step explanation:

To find the equation, we will find the slope and y-intercept. To find the slope, you would use the formula \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\).

\(m=\frac{\--1-5}{5-3} =\frac{-6}{2} =-3\)

Now that we have found our slope, we can plug m into the slope-intercept form and solve for b, y-intercept.

y=mx+b

y=-3x+b

Solve for b, y-intercept. We can plug in any pair given to find b.

5=-3(3)+b

5=-9+b

14=b

We have our m and b, our final equation is y=-3x+14.

The no: of red marbles, that the bag contains if it has 24 purple marbles are 30 marbles.

a single state. This has an identity element in math, in an algebra. Whose inverse is equivalent to its adjoint (in mathematics, linear algebra, mathematical study of a matrix or operator).

The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.

A unitary government is a type of government in which the whole government is controlled by a single entity, known as the central government. Actually, the center of authority for all administrative divisions and powers.

In the given question,

for every 4 purple marbles there are 5 red marbles

then for 1 purple marble there is 5/4 red marbles

again for 24 purple marbles, there are 30 red marbles

To learn more about unitary method, click the following link:-

https://brainly.com/question/24587372

#SPJ1

Using the power reducing formulas the expression \(5cos^4(x) = 5(1 + cos(2x))^{2/4}\).

We can define higher powers of a trigonometric function in terms of lower powers of the same function using the power-reducing formulas, which are trigonometric identities. Higher powers of cosine can be expressed using this formula in terms of sine and cosine's initial powers. For the other trigonometric functions, such as sine and tangent, there are equivalent formulas. These formulas can be used to solve trigonometric equations and to simplify trigonometric expressions.

The given function is 5cos^4(x).

Now, the power reducing formulas are given by:

\(cos(2x) = cos^2(x) - sin^2(x) = 2cos^2(x) - 1\\cos^2(x) = (1 + cos(2x))/2\)

Substituting the value of second equation in 1 we have:

cos(2x) = 2(1 + cos(2x))/4 - 1

\(cos(2x) = (2cos^2(x) - 1) = cos^2(x) - sin^2(x)\)

Now we have:

\(cos^2(x) = (1 + cos(2x))/2\)

Thus,

\(cos^4(x) = (1 + cos(2x))/2)^2\)

Now multiplying by 5:

\(5cos^4(x) = 5(1 + cos(2x))^{2/4}\)

Learn more about trigonometric functions here:

https://brainly.com/question/14746686

#SPJ1

Answer:

m<A is 33

Step-by-step explanation:

126+21+x=180

147+x=180

180-147=x

x=33

Correct answer is D. For the numerical equation, If m = 8 and n = 4, all of the following represent the same value except mn.

Numbers and their operations are used to represent a numerical equation. Statements can also be used to create mathematical expressions.

On calculating, the following values,

If m = 8 and n = 4;

For 1/2m, the value will be -

1/2 × 8 = 4                                                    .......(1)

For n/1 the value will be -

4/1 = 4                                                          .......(2)

For m-n the value will be -

8 - 4 = 4                                                       .......(3)

For mn, the value will be -

8 × 4 = 32                                                     ......(4)

From (1), (2), (3), (4) it can be seen that the value is same instead for mn.

Complete question -

If m = 8 and n = 4, all of the following represent the same value except _____.

1/2 m

n/1

m-n

mn

To learn more about numerical equation from given link

https://brainly.com/question/12299675

#SPJ9

Answer:

-1

Step-by-step explanation:

mean, mu = 135.

Standard deviation = 20

X = 115

use the z score formula : \(z = \frac{x-mu}{standard deviation}\)

to get (115-135)/20 = -1

Answer:

43

133

Step-by-step explanation:

Complementary means that the two angles added together equal 90

90 - 47 = 43

Supplement means that the two angels added together equal 180

180 -47 = 133

Almost 2 million tons of additional CO2 would be emitted into the atmosphere and the two prime numbers are 883 and 5

2. If all 132,000 customers of Mobility refuse to use the car-sharing system and buy a new car, they would need 132,000 cars. If each car generates 15 tons of CO2 during production, the total additional CO2 emissions would be:

132,000 cars × 15 tons of CO2 per car = 1,980,000 tons of CO2

Therefore, if all customers of Mobility decide to buy new cars instead of using the car-sharing system, almost 2 million tons of additional CO2 would be emitted into the atmosphere.

5. To find two prime numbers whose sum is 888 and have maximum product, we can start by noticing that 2 is the only even prime number, so the two prime numbers must be odd. Also, the sum of two odd numbers is even, so one of the primes must be 2 and the other must be an odd number less than 886.

We can check odd numbers starting from 885 downwards until we find a prime number. We can use the following Python code to check if a number is prime:

import math

def is_prime(n):

   if n <= 1:

       return False

   elif n == 2:

       return True

   elif n % 2 == 0:

       return False

   else:

       for i in range(3, int(math.sqrt(n))+1, 2):

           if n % i == 0:

               return False

       return True

Using this code, we can check that 883 and 5 are both prime numbers. Therefore, the two prime numbers whose sum is 888 and have maximum product are 883 and 5, and their product is 4415.

Learn more on prime numbers here;

https://brainly.com/question/1593928

#SPJ1

The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² =  (a + ib)²(a - ib)²

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

✓(x + iy) = a + ib

Changing the signs, we have

✓(x - iy) = a - ib

Multiply both expressions

This gives

✓(x + iy) * ✓(x - iy) =  (a + ib)(a - ib)

Square both sides

So, we have

(x + iy) * (x - iy) =  (a + ib)²(a - ib)²

This gives

x² + y² =  (a + ib)²(a - ib)²

Hence, the values of ✓(x - iy) is a - ib and x² + y² is  (a + ib)²(a - ib)²

Read more about complex expressions at

https://brainly.com/question/10662770

#SPJ1

For the Propositional Function each proposition ∀x∀y P(x,y) is false.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

It is given that Propositional function -

P(x,y) : x ≥ y

Universal quantifier x Universal quantifier y Propositional function

∀x∀y P(x,y)

For every positive integer = every positive integer ≥ every positive integer

But this is false.

Example - x = 1 and x = 2

x < y

Therefore, the given statement is false.

To learn more about function from the given link

https://brainly.com/question/2284360

#SPJ4

Let P(x,y) be the propositional function x≥y. The domain of discourse is Z+×Z+. Tell whether each proposition is true or false.

∀x∀yP(x,y)

Answer: Y=83

Step-by-step explanation:

Answer:

y = 92

Step-by-step explanation:

plug in x = 27 into the equation y = 3x + 11,

y = 3(27) + 11

=> y = 81 + 11

=> y = 92

Answer:

x≥3

Step-by-step explanation:

Ned Robinson buys a microwave for $149.99.

A microwave cart for $119.95.

A microwave cookware for $19.95.

tax rate is 5.5 %

total amount =

thus 5.5% of 28.89 is,

thus total bill is,

Answer:

Intersecting (fourth answer choice)

Step-by-step explanation:

First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where

Converting y - 3x = 4x to slope-intercept form:

(y - 3x = 4x) + 3x

y = 7x

Thus, the slope of this line is 7 and the y-intercept is 0.

Converting 6 - 2y = 8x to slope-intercept form:

(6 - 2y = 8x) - 6

(-2y = 8x - 6) / -2

y = -4x + 3

Thus, the slope of this line is -4 and the y-intercept is 3.

Checking if y = 7x and y = -4x + 3 are perpendicular lines:

We can show this in the following formula:

m2 = -1 / m1, where

Thus, we only have to plug in one of the slopes for m1.  Let's do -4.  

m2 = -1 / -4

m2 = 1/4

Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.

 Checking if y = 7x and y = -4x + 3 are parallel lines:

The slopes of parallel lines are equal to each other.

Because 7 and -4 are not equal, the two lines are not parallel.

Checking if the lines intersect:

Method to solve the system:  Elimination:

We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:

-1 (y = 7x)

-y = -7x

----------------------------------------------------------------------------------------------------------

    -y = -7x

+

    y = -4x + 3

----------------------------------------------------------------------------------------------------------

(0 = -11x + 3) - 3

(-3 = -11x) / 11

3/11 = x

Now we can plug in 3/11 for x in y = 7x to find y:

y = 7(3/11)

y = 21/11

Thus, x = 3/11 and y = 21/11

We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3.  If we get the same answer on both sides of the equation for both equations, the lines intersect:

Checking solutions (x = 3/11 and y = 21/11) for y = 7x:

21/11 = 7(3/11)

21/11 = 21/11

Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:

21/11 = -4(3/11) + 3

21/11 = -12/11 + (3 * 11/11)

21/11 = -12/11 + 33/11

21/11 = 21/11

Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).

This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.

Answer:

80y by 40y

Step-by-step explanation:

The area of the rectangle that maximizes the enclosed area is

80 by 40

80+80=160

40+40=80

160+80=240 yards.

Answer:

13. -10/7

14. -26/5

15. 2/3

16. 11/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the midpoint of the two points A (x₁, y₁) and B(-5, 5) be M(2, 0)

Using the formula for calculating the midpoints of two coordinates

(X₁, Y₁) = \((\frac{{x_1}+x_2}{2}, \frac{{y_1}+y_2}{2} )\)

\(X_1 = \frac{{x_1}+x_2}{2}\\Y_1 =\frac{{y_1}+y_2}{2}\)

Given if (X₁, Y₁) is the midpoint, then X₁ = 2, Y₁ = 0

x₂ = -5 and y₂ = 5

Substituting this given values into the equation above to get the unknown coordinate;

\(X_1 = \frac{{x_1}+x_2}{2}\\-2 = \frac{{x_1}-5\\}{2}\\-4 = x_1-5\\x_1=-4+5\\x_1 =1\)

Similarly;

\(Y_1 = \frac{{y_1}+y_2}{2}\\0 = \frac{{y_1}+5\\}{2}\\0 = y_1+5\\y_1=0-5\\y_1 =-5\)

The coordinate of A = (1,-5)