Answer this please thanks

The four-door model is sold at 15% discount.

Discount is the difference between list price and selling price.

List price is the original price of the product set by the seller.

Selling price is the price at which the product is actually sold.

We know that percentage of discount is:

Discount % = (Discount/ List price) * 100

where Discount= List price- Selling price

       ⇒ List price= Discount + Selling Price

       ⇒ List price = 9000 + 51000 = Birr 60,000

Calculating the discount percentage based on above mentioned results:

Discount % = (Discount/ list price)*100

⇒ (9,000/60,000)*100 = 15%

Therefore the percentage of discount for the four-door model sold at discounted price of Birr 51,000 with discount of Birr 9,000 is 15%.

Read more about discounts :

https://brainly.com/question/30366937?referrer=searchResults

https://brainly.com/question/32602544?referrer=searchResults

Answer:

Step-by-step explanation:

To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:

Step 1: Simplify the expression on the left side:

\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)

Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:

\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)

Step 3: Simplify the expression within the logarithm:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)

Step 4: Simplify the denominator by multiplying by the reciprocal:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

Step 5: Simplify the numerator:

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)

\(\ln\left(2 + \sqrt{2}\right)\)

Now, let's simplify the right side of the equation:

Step 1: Simplify the expression on the right side:

\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)

Step 2: Simplify the expression within the logarithm:

\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)

Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

Step 4: Simplify the expression:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)

\(-\ln\left(2 + \sqrt{2}\right)\)

As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).

9514 1404 393

Answer:

Step-by-step explanation:

To find the scale factor from ΔDEF to ΔRST, find a measure on ΔDEF and a corresponding measure on ΔRST, then write them in the form required for the scale factor.

Here, there are numbers on DE, RS, and ST. We see by the similarity statement ΔDEF ~ ΔRST that DE corresponds to RS, so the scale factor is ...

  ΔDEF : ΔRST = DE : RS = 3 : 4 . . . scale factor

__

Using that scale factor, you can write a proportion to find the value of x.

  3 : 4 = x : 16  ⇒  3/4 = x/16

Multiplying the fraction equation by 16, we have ...

  x = 16(3/4)

  x = 12

Answer:

<

Step-by-step explanation:

The bars on either side of 81.48 are the absolute value symbol.

The absolute value of a number is its positive numerical value.

\(\implies |81.48| = 81.48\)

\(\boxed{\begin{minipage}{5.3cm}\underline{Inequality symbols}\\\\$ < $ means "less than"\\$ > $ means "more than"\\$\leq $ means "less than or equal to"\\$\geq $ means "more than or equal to"\end{minipage}}\)

A negative number is always less than a positive number.

\(\implies -88.48 < |81.48|\)

Therefore, the sign that makes the statement true is "<".

Answer:

-88.48 < ∣81.48∣

Step-by-step explanation:

The given equation is,

→ -88.48 ? ∣81.48∣

The sign which we use will be,

→ -88.48 ? ∣81.48∣

→ -88.48 < 81.48

Hence, the sign we use is (<).

Answer:

Step-by-step explanation:

If the large Jar is $4.10 for 540g

and  small jar  $2.81 for 360 g

You need to show how much it cost for 1 g,so you can compare how much it cost per gram. You would divide the total cost by the grams to see how much it is for 1 g.

Large jar.   $4.10/540 = $.0076  for 1 gram

Small Jar.   $2.81/360 =$.0078 for 1 gram

Because the large jar is cheaper to buy per gram, the large jar is the best value for the money.

Answer:

16 squares

Step-by-step explanation:

The area of an isosceles is \(\frac{bh}{2}\)

\(8 \cdot 4 = 32\\32 \div 2 = 16\)

Hope this helped!

Answer:

area = 16 unit ²

Step-by-step explanation:

given:

base = 8

height = 4

req'd : area of a triangle

area of isoceles triangle = 1/2 * b * h

= 1/2 * 8 * 4

= 16 unit²

Answer:

y=2x-2

Step-by-step explanation:

(2,2), (3,4)

4-2=2

3-2=1

2/1

Answer:

y = 2x - 2

Step-by-step explanation:

In the formula for a line, y = mx + b,

The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.

Given that

Dimension of matrix  = 7×5

Rank of matrix = 4

The range space of A,

Which is a subspace of R, is known as R(A).

It is made up of all conceivable linear combinations of A's columns.

The dimension of R(A) =  rank of A,

Which is 4 in this case.

The null space of the transpose of A,

Which is also a subspace of R, is designated as N(AT).

All potential answers to the equation ATx = 0,

Where x is a R column vector, are included in it.

N(AT) has a dimension = nullity of A,

which in this case is 3 in this example.

The range space of the transposition of A, is designated as R(AT).

The rows of A are arranged in all conceivable linear configurations.

The rank of A = 4

Thus it equal to dimension of R(AT).

N(A) is the null space of A.

Axe = 0, where x is a column vector in R, are included in it.

The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).

To learn more about matrix visit:

https://brainly.com/question/29132693

#SPJ1

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

Read more on reflection here: https://brainly.com/question/3399394

#SPJ1

Step-by-step explanation:

Answer:

I = $ 120.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 2000 × 0.03 × 2 = 120

I = $ 120.00

The simple interest accumulated

on a principal of $ 2,000.00

at a rate of 3% per year

for 2 years is $ 120.00.

To solve this problem we need to find the area of the circular sector that represents the slice. To do that we will use the following expression:

Where theta is the angle for the sector and r is the radius for the circle. To find the radius we need to divide the diameter by 2.

The radius of this pizza is equal to 8 inches and the angle for the sector is 45 degrees. Applying this data on the expression above we can find the area for the slice.

The correct alternative is H. The slice has 25.133 square inches of area.

This probability is approximately equal to \(1.07 * 10^-10.\)

The total number of possible ways to arrange the 15 songs is 15!, which is a very large number. To find the probability that the first 3 songs in the playlist are the first 3 songs on the album in any order, we need to find the number of ways to arrange the first 3 songs on the album and divide it by the total number of possible arrangements.

Since the first 3 songs can be arranged in any order, we can use the permutation formula to find the number of ways:

P(3,3) = 3!

P(3,3) = 6

So there are 6 ways to arrange the first 3 songs on the album.

The total number of possible arrangements of all 15 songs is 15!, as mentioned earlier.

Therefore, the probability that the first 3 songs in the playlist are the first 3 songs on the album in any order is:

6 / 15!

This probability is a very small number, approximately equal to \(1.07 * 10^-10.\)

To know more about probability visit:

https://brainly.com/question/30034780

#SPJ1

Answer:

Step 1 Divide all terms by a (the coefficient of x2).

Step 2 Move the number term (c/a) to the right side of the equation.

Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

hope this help

but this is little info dont worry i will answer your question just in a minute

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Its pretty easy i did that on a test and got a 100

Answer:

100%  probability that the loss in nominal dollars is less than 1000, given that the loss in nominal dollars is greater than 200.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

\(P(X < x) = \frac{x - a}{b - a}\)

The probability of finding a value between c and d is:

\(P(c \leq X \leq d) = \frac{d - c}{b - a}\)

The probability of finding a value above x is:

\(P(X > x) = \frac{b - x}{b - a}\)

Uniformly distributed on [0, 1000].

This means that \(a = 0, b = 1000\)

Given that the loss in nominal dollars is greater than 200.

This means that \(a = 200\)

Calculate the probability that the loss in nominal dollars is less than 1000

\(P(X < x) = \frac{x - a}{b - a}\)

\(P(X < 1000) = \frac{1000 - 200}{1000 - 200} = 1\)

100%  probability that the loss in nominal dollars is less than 1000, given that the loss in nominal dollars is greater than 200.

Answer:

To determine the possible degree(s) of a function from the graph alone, you need to examine the behavior of the graph at the extremes (far left and far right) and consider the number of turning points or changes in direction. Here's a step-by-step approach:

Look at the far left side of the graph: Determine the behavior of the graph as it approaches negative infinity. Does the graph approach a specific value, such as a horizontal line (asymptote) or the x-axis? If the graph approaches a horizontal line, it suggests a polynomial function of even degree. If the graph approaches the x-axis, it indicates a polynomial function of odd degree or possibly a function with a root of multiplicity greater than one.

Look at the far right side of the graph: Determine the behavior of the graph as it approaches positive infinity. Similar to step 1, observe if the graph approaches a specific value or a horizontal line. The behavior at the far right side should be consistent with the behavior at the far left side. This can help you identify if the function is even or odd degree.

Examine the number of turning points or changes in direction: Count the number of times the graph changes direction. These points are where the slope of the graph changes from positive to negative or vice versa. The number of turning points can provide an indication of the degree of the polynomial. For example, if there are two turning points, it suggests a polynomial function of degree 3.

Remember that this method provides potential degrees, but it may not definitively determine the exact degree of the function. Additional information or analysis might be required for a more accurate determination.

Answer:

12a4b5 2a2

Step-by-step explanation:

Solve for common factor

6a4b5

a2

Solve for common factor

6a2b5

measure horizontally

measure vertically

measure depth..

Answer:

  h > 5

  h < 0

Step-by-step explanation:

We suppose that a "Special Solution" inequality is one that is technically incorrect, but is written using a compact "shorthand" form.

As written, the inequality claims that 17 < 2, which is false. There can be no value of the variable that will make this true. We presume the intended meaning is ...

  17 < 3h +2   or   3h +2 < 2

Subtracting 2 from the inequality gives ...

  15 < 3h < 0

Dividing by 3 gives ...

  5 < h < 0

There is no value of h that is both greater than 5 and less than 0, so we presume this means the OR (union) of the solution sets ...

  h > 5

  h < 0

Answer:

The answer is A.

Step-by-step explanation:

If you multiply the Length times Width, then you get 0.48 meter-2. Then you simplify it.

3 * 4 = 12.

5 * 5 = 25.

So it equals 12/25 or A.

Task:

Enter the function's domain, range, and end behavior.

f(x) = 600(0.55)^x

P.S. So it can be found on the internet.

Answer:

domain: {x | x ∈ R}

range: {y | y > 0}

As x approaches -∞, y approaches +∞

As x approaches ∞, y approaches 0

Step-by-step explanation:

Just to describe the function:

\(600(0.55)^{x}\)

600 is basically the y-intercept, 0.55 indicates that the function is decreasing

You have a horizontal asymptote on the y = 0 and the domain is (-∞, ∞)

the range is (0, ∞) because you have the horizontal asymptote at 0

About "x such that" notation, I am not sure but here it is:

domain: {x | x ∈ R}

range: {y | y > 0}

As x approaches -∞, y approaches +∞

As x approaches ∞, y approaches 0

The customer would be charged a monthly fee of $103.87 for using 100 therms of natural gas.

What is expression ?

In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, exponents, roots, and logarithms) that are combined in a meaningful way. Expressions can be simple or complex, and they can involve one or more variables.

According to given conditions :

The formula to calculate the monthly fee charged by a company for using x therms of natural gas is:

c = 15 + 0.88867x

Here, c represents the monthly fee in dollars, and x represents the amount of natural gas used in therms.

The fixed monthly fee charged by the company is $15, and the variable fee is $0.88867 per therm of natural gas used. To calculate the monthly fee for a given value of x, we simply plug in the value of x into the formula and evaluate:

For example, if a customer uses 100 therms of natural gas in a month, the monthly fee would be:

c = 15 + 0.88867(100)

c = 15 + 88.867

c = 103.867

It's important to note that the formula assumes a linear relationship between the amount of natural gas used and the monthly fee charged by the company. In reality, the relationship may be more complex, and there may be other factors that affect the monthly fee.

Therefore, the customer would be charged a monthly fee of $103.87 for using 100 therms of natural gas.

To know more about expression visit :

https://brainly.com/question/1859113

#SPJ1

Answer:

3s + 3t

Step-by-step explanation:

To simplify this expression, all you need to do is distribute the 3, which means you basically multiply whatever is in the parentheses by 3:

(s + t) * 3 =

3s + 3t

And that is the simplified form for this expression.

Hope this helps :)

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

For more such questions on distance

https://brainly.com/question/30395212

#SPJ8

The matrix 3A + B cannot be defined, as 3A and B have different dimensions, hence they cannot be added.

When we add two matrices, we add the equivalent elements, that is, the elements at the same position in each matrix, hence for the addition of matrices they should have the same dimensions.

The matrices are given by:

3a: 3[5 2]' = [15 6].

b = [7 1;5 0].

With the ; indicating a new line, hence they have different dimensions(A 2 x 1 and B 2 x 2), so the matrix 3A + B cannot be defined.

Therefore, the matrix 3A + B cannot be defined, as 3A and B have different dimensions, hence they cannot be added.

Learn more about matrix, here:

https://brainly.com/question/28367773

#SPJ1

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

9x-9

Step-by-step explanation:

the expression on the left simplifes to be 9x-8 so anything other than that will not produce a solution

examples:  9x+1, -9x-8, 10x+3, 12x . . .

Answer:d

Step-by-step explanation: