Can someone help me with this last one please

Answer:

I really think it is

$18.94

The original value of the house when it was purchased was approximately $200,000.

To determine the original value of the house, we need to follow these steps:

Step 1: Understand that the current value represents 71% of the original value, since the value has decreased by 29% (100% - 29% = 71%).

Step 2: Set up a proportion equation to represent the relationship between the original value (OV) and the current value (CV). The equation should look like this:

CV / OV = 71 / 100

Step 3: Substitute the given current value, $142,000, into the equation:

$142,000 / OV = 71 / 100

Step 4: To isolate the original value (OV), we need to solve for OV. We can do this by cross-multiplying and then dividing:

(100 * $142,000) / 71 = OV

Step 5: Calculate the result:

$14,200,000 / 71 = $200,000

Therefore, the original value of the house when it was purchased was approximately $200,000.

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Answer:

$27.83

Step-by-step explanation:

If Darrien spends 26.50, multiply that by 0.05 (26.50×0.05) which is 1.325 which rounds to 1.33. $1.33 is the amount of tax he has to add. For the full price you would do 26.50+1.33 to get 27.83.

Answer:

The answer is 27.83

Step-by-step explanation:

Thank the person above me.

(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.

(b)75.8

Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.

It is given that a pizza lover wants to compare the average delivery times.

Therefore the null hypothesis and alternate hypothesis implies that,

H₀ =  all restaurants have equal mean delivery time

Hₐ = at least two restaurants have different two deliveries

Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.

The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.

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Answer:

B:14

Step-by-step explanation:

The value today of a money machine is $4,712.25. The value of the investment is $31,323.15.

Question 9:

To calculate the present value of the money machine, we can use the formula for the present value of an ordinary annuity:

PV = P * [(1 - (1 + r)^(-n)) / r],

where PV is the present value, P is the annual payment, r is the interest rate per period, and n is the number of periods.

Given:

Annual payment (P) = $1000,

Interest rate per period (r) = 4% = 0.04,

Number of periods (n) = 6 - 2 = 4.

Plugging in the values, we get:

PV = $1000 * [(1 - (1 + 0.04)^(-4)) / 0.04] = $4712.25.

Therefore, the value today of the money machine is $4712.25.

Question 10:

To calculate the present value of the investment, we can use the formula for the present value of a perpetuity:

PV = P / r,

where PV is the present value, P is the periodic payment, and r is the interest rate per period.

Given:

Periodic payment (P) = $500,

Interest rate per period (r) = 12% / 12 = 0.12 / 12 = 0.01.

Plugging in the values, we get:

PV = $500 / 0.01 = $31,500.

Therefore, the value of the investment today is $31,323.15.

In summary, the value today of the money machine that will pay $1000 per year for 6 years is $4712.25, and the value of the investment that will pay $500 per month starting four years from today and continue indefinitely is $31,323.15.

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An equation is formed of two equal expressions. The equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

As it can be seen that the centre of the ellipse is at (6,2). Also, the major radius is equal to 7 units, while the minor radius is equal to 3 units. The general equation of the ellipse is given as,

(x - h)²/a² + (y - k)²/b² = 1

(x - 6)²/7² + (y - 2)²/3² = 1

[(x-6)²/49] + [(x-2)²/9] = 1.

Hence, the equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1 .

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Answer:

the answer is A on edge :)

Step-by-step explanation:

good luck <3

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Answer:

graph below

Step-by-step explanation:

By using multiplication and division, it can be calculated that-

The multiple according to the number 3 = 162

The submultiple according to the number 7 = 7

What is multiplication and division?

Repeated addition is called multiplication. Multiplication is used to find the product of two or more numbers.

Division is the process in which a value of single unit can be calculated from the value of multiple unit.

The number to be divided is called dividend. The  number by which dividend is divided is the divisor. The result obtained is called quotient and the remaining part is the remainder.

This is a problem of multiplication and division.

One segment measures 161 cm

So, to find the multiple according to the number 3, we have to divide 161 by 3

161 \(\div\) 3 = 53.67

Nearest integer of 53.67 is 54

The multiple according to the number 3 = 54 \(\times\) 3 = 162

To find the submultiple according to the number 7, we have to divide 161 by 7

161 \(\div\) 7 = 23

Nearest integer of 23 is 23

The submultiple according to the number 7 = 161 \(\div\) 23 = 7

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The system of equations that will determine the number of adult tickets (a) and the number of child tickets (c) Mr. Frankel brought is:

a + c = 5

7a + 5c = 29

Let's assume Mr. Frankel bought a number of adult tickets (a) and a number of child tickets (c). We can set up a system of equations based on the given information.

First, we know that Mr. Frankel bought a total of 5 tickets, so the sum of the number of adult tickets and the number of child tickets is 5:

a + c = 5

Next, we know that the total cost of the tickets was $29. Adult tickets cost $7 each, and child tickets cost $5 each. We can express this as an equation:

7a + 5c = 29

By solving this system of equations simultaneously, we can determine the values of a and c, representing the number of adult and child tickets, respectively, that Mr. Frankel bought.

Therefore, the system of equations that will determine the number of adult tickets (a) and the number of child tickets (c) Mr. Frankel brought is:

a + c = 5

7a + 5c = 29

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The expression \(\sqrt{\sqrt{x1\⁰} }\sqrt{\sqrt{x\³ }}\) is equivalent to 10 for  \(x = 10^{(8/15)}\).

In mathematics, an expοnent (alsο called pοwer οr index) is a shοrthand nοtatiοn used tο represent the repeated multiplicatiοn οf a number by itself.

We can simplify the given expressiοn using the prοperties οf expοnents and rοοts.

First, we can simplify the expression inside the first square root as:

√√x1⁰ = \(\rm \sqrt{(x^{10})^{(1/4)} }= (x^{10})^{(1/8)} = x^{(10/8)} = x^{(5/4)}\)

Next, we can simplify the expression inside the second square root as:

\(\sqrt{(\sqrt{x\³})} = \sqrt{(x^3)^{(1/4) }}= (x^3)^{(1/8)} = x^{(3/8)\)

Therefore, the entire expression becomes:

\(\sqrt{(\sqrt{x1\⁰)}} (\sqrt{(\sqrt{x\³})} = x^{(5/4)} * x^{(3/8) }= x^{(15/8)}\)

Now, we need to find the value of x that makes this expression equal to 10.

\(x^{(15/8) }= 10\)

Taking the eighth power of both sides:

\(x^{15} = 10^8\)

Taking the 15th root of both sides:

\(x = (10^8)^{(1/15)}\)

\(x = 10^{(8/15)}\)

the equivalent expression is:

\(\sqrt{\sqrt{x1\⁰} }\sqrt{\sqrt{x\³ }}= x^{(5/4) }* x^{(3/8)} = x^{(15/8)} = (10^{(8/15)})^{(15/8)} = 10\)

Therefore, the expression \(\sqrt{\sqrt{x1\⁰} }\sqrt{\sqrt{x\³ }}\) is equivalent to 10 for \(x = 10^{(8/15)}\).

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Answer:

the answer is 12pie

Step-by-step explanation:

6mm is radius

circumference is ×2

so its 12

The mass of each bag of flour is 2 kg.

In physics, mass is a quantitative measure of inertia, which is a fundamental property of all matter. In the International System of Units, a kilogram is a unit of mass (SI).

Given that the mass of each bag of rice is 1.2 kg. We can see that there are 5 and 3 bags containing rice and flour respectively. First, we have to calculate the total weight of the right side of the weight machine. Then we equate it with the total weight of the left side of the weight machine.

Let, the mass of each bag of flour be y kg.

Now,

Weight of the right side = Weight of the left side

i.e. number of rice bags × mass of rice bags = no. of flour bags × mass of flour bags

i.e. 5 × 1.2 = 3 × y

i.e. 3y = 6.0

i.e. y =6/3=2

So, the mass of each bag of flour is 2 kg.

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Answer:

3

Step-by-step explanation:

5x=11+4

5x=15

x=15/5

x=3

Answer:

x=3 is the answer.

The ratio of the sine of the angle of incidence to the sine of the angle of refraction is always a constant when the light is traveling from a denser medium to a rarer medium and the angle of incidence is greater than the critical angle.

The ratio of the sine of the angle of incidence to the sine of the angle of refraction is always a constant under the condition of total internal reflection.

This constant is known as the refractive index of the medium in which the light is traveling. When a beam of light passes from one medium to another, the ratio of the sine of the angle of incidence to the sine of the angle of refraction is known as the refractive index of the second medium with respect to the first medium.

Total internal reflection occurs when a beam of light passes from a medium with a higher refractive index to a medium with a lower refractive index, and the angle of incidence exceeds the critical angle. Under this condition, the light is reflected back into the original medium, instead of passing into the second medium.

In short, the ratio of the sine of the angle of incidence to the sine of the angle of refraction is always a constant when the light is traveling from a denser medium to a less dense medium and the angle of incidence is greater than the critical angle.

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9514 1404 393

Answer:

  4

Step-by-step explanation:

The greatest common factor of 28 and 68 is 4.

  28 = 4×7

  68 = 4×17

Each person could have received 4 baseball cards.

Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

The equation of a line that has a slope of 1/6 and it passes through the point (-6, 6) is y = x/6 + 7.

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

From the information provided above, we have the following slope and data points on the line:

Points = (-6, 6).

Slope, m = 1/6

At data point (-6, 6), a linear equation of this line can be calculated in point-slope form as follows:

y - y₁ = m(x - x₁)

y - 6 = 1/6(x + 6)

y - 6 = x/6 + 1

y = x/6 + 1 + 6

y = x/6 + 7

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As a result, the solid's volume in the first octant, which is restricted by the paraboloid z = 4 + 2 x + 2 y, is 9.

We must determine the limits of integration for x, y, and z in order to determine the volume of the solid in the first octant bounded by the paraboloid z = 4 + 2x + 2y + 2 and the plane z = 10.

At z = 10, where the paraboloid and plane overlap, we put the two equations equal and find z:

4 + 2x^2 + 2y^2 = 10

2x^2 + 2y^2 = 6

x^2 + y^2 = 3

This is the equation for a circle in the xy plane with a radius of 3, centred at the origin. We just need to take into account the area of the circle where x and y are both positive as we are only interested in the first octant.

Integrating over the circle in the xy-plane, we may determine the limits of integration for x and y:

∫∫[x^2 + y^2 ≤ 3] dx dy

Switching to polar coordinates, we have:

∫[0,π/2]∫[0,√3] r dr dθ

Integrating with respect to r first gives:

∫[0,π/2] [(1/2)(√3)^2] dθ

= (3/2)π

So the volume of the solid is:

V = ∫∫[4 + 2x^2 + 2y^2 ≤ 10] dV

= (3/2)π(10-4)

= 9π

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Answer:

A:   -1 + 2 log4^x

C: log4 (1/4) + log4 x^2

Step-by-step explanation:

Apply logarithm properties:

log4 (1/4x^2)  =  log4 (1/4) + log4 x^2

Evaluate: log4 (1/4)

log4 (1/4) = -1

Substitute the value back:

-1 + lg4 x^2

Apply logarithm properties:

-1 + 2 log4 ^x

Draw a conclusion:

The expressions equivalent to: log4 (1/4x^2) are:

Answer Choices: A, and C

A= -1 + 2 log4^x

C=  log4 (1/4) + log4 x^2

Hope this helps!

Equations 4x+2y=4 and -x²+y=-6 intersect at the coordinates (a, b) and (c, d), then(a, b) and (c. d) is (-4, 10) and (2,-2).

As given,

Given equations:

4x+2y=4

⇒2x +y=2

⇒y=2-2x   ___(1)

-x²+y=-6   ___(2)

Substitute value of y in (2)

-x² +2-2x =-6

⇒-x²-2x +8 = 0

Discriminant D=b² -4ac

                         = (-2)² -4(-1)(8)

                          =36>0

Two intersecting coordinates (a, b)and (c, d)

Factorize:

-x²-2x +8=0

⇒-x²-4x+2x+8=0

⇒(x +4)(-x+2)=0

⇒x=-4 or 2

Substitute in (1)

x=-4⇒y=10

x=2⇒y=-2

Therefore, equations 4x+2y=4 and -x²+y=-6 intersect at the coordinates (a, b) and (c, d), then(a, b) and (c. d) is (-4, 10) and (2,-2).

The complete question is :

The equations 4x+2y=4 and -x^2+y=-6 intersect at the coordinates (a, b) and (c, d). What is the value of coordinates (a, b) and (c, d).

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The starting number is 40

Answer: 40

Step-by-step explanation:

So, we know that the ending number is 1300. We get that when we multiply the starting number by 30 and then add 100. So let's subtract 1300-100. We will get 1200. We are now one step closer. Now we know that dividing is the opposite of multiplying, so we can do 1200/30, which equals 40. We are not sure that is correct, so let's double-check. 40x30 equals 1200. 1200+100 equals 1300. TA-DA!

A) One cup of white paint requires 3/7 cups of red paint.

B) The constant of proportionality is 7/3.

The proportionality constant is the ratio that connects two given values in a proportional relationship. The constant of proportionality is also known as the constant ratio, constant rate, unit rate, constant of variation, and even the rate of change.

Given:

A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.

So,

7 cups of white paint are needed for every 3 cups of red paint

One cup of white paint requires 3/7 cups of red paint.

To calculate the constant of proportionality, we find the ratio of the white and red paints which is

Cups of white paint: Cups of red paint = 1: 3/7 = 7/3

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Respuesta:

(segundo + 3) (segundo + 2) = 0

Explicación paso a paso:

Dada la expresión cuadrática b² + 5b + 6, debemos factorizarla;

b² + 5b + 6 = 0

b² + 2b + 3b + 6 = 0

b (segundo + 2) +3 (segundo + 2) = 0

(segundo + 3) (segundo + 2) = 0

Por tanto, el factor requerido es (b + 3) (b + 2) = 0

Based on the simulations from parts (A) thru (E), the shape of the distribution of "heads" is bell-shaped. Therefore, the correct answer is B. Bell-shaped.

What is the most probable distribution's shape?

Bell-shaped distributions, sometimes referred to as normal or Gaussian distributions in math and science, are the most significant probability distribution shapes since they are typically the result of sufficiently big data sets from naturally occurring random variables.

The mathematical idea known as the normal distribution, and also referred to as the Gaussian distribution, is commonly defined by the mound form.

When data points are utilized to plot a line for a particular item that satisfies the requirements of the normal distribution, a form called a mound is produced.

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Answer:

95

Step-by-step explanation:

All interior angles of a square is equal to 360 so,

95+85+85+x=360

265+x=360

x=95

Answer:

The answer is B) -3 and 1/3

Explanation:

The answer must be between -3 and -4 because that is the location on the plot.

You count two ticks on the plot. The first one is 1/3. The second one is 2/3.

There is no third one because 3/3 would bring you to the next number.

The dot is on the first tick, meaning that it is 1/3. If the dot is between -3 and -4, you can conclude that the answer is -3 and 1/3.

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Answer:

B -3 1/3 because that is the place on the plot

Correct answers are B, C , E & F.

Step-by-step explanation:

Part A) sin(X)

we know that

The sine of angle X is equal to dividing the opposite side angle X by the hypotenuse

so

Sin (X) = ZY/ZX

substituting the values
Sin (X) = 5/13

Part B) tan(Z)

we know that

The tangent of angle Z is equal to dividing the opposite side angle Z  by the adjacent side to angle Z

so

Tan(Z) = XY/YZ

substituting the values

Tan(Z) = 12/5

Part C) Cosec(Z)

we know that

The cosecant of angle Z is equal to dividing the adjacent side angle Z by the  perpendicular

so

Cosec(Z) = ZX/YX

substituting the values

Cosec(Z) = 13/12

Part D) Sec(X)

we know that

The secant of angle X is equal to divide the adjacent side angle X by the  base

so

Sec(X) = ZX/ZY

substituting the values

Sec(X) = 12/13

Part E) cos(Z)

we know that

The cosine of angle Z is equal to divide the adjacent side angle Z by the  hypotenuse

so

Cos(Z) = ZY/ZX

substituting the values

Cos(Z) = 5/13

Part F) Cot(X)

we know that

The cotangent of angle X is equal to dividing the adjacent side of angle X  by the opposite side to angle X.

so

Cot(X) = XY/YZ

substituting the values

Cot(X) = 12/5

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