selling price of a car is 200000birr and it's total cost including sales tax is 218000birr what percentage is sales tax







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The correct numerical expression is 9 x 4 + (3 − 2).

What is an expression?

A mathematical expression is a phrase made up of the expression's own components, at least two additional variables or integers, and one or more arithmetic operations.

We are given a statement as "9 times 4 added to the difference of 3 and 2".

Now, we know that times denote multiplication operation, added denotes addition operation and difference denotes subtraction operation.

So, from this we get the expression as:

9 x 4 + (3 − 2)

Hence, the correct numerical expression is 9 x 4 + (3 − 2).

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Answer:

y = 4x - 2 would be the equation

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

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Answer:

500 washes

Step-by-step explanation:

Number of washes

But remember : 1 L = 1000 mL

So the amount of gain that can be deferred under the installment sale method is $424,879.16.

Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred" in Latin. When a number is expressed as a percentage, it is usually accompanied by the "%" symbol. Percentages are commonly used in many areas of everyday life, such as finance, taxes, and statistics. They are often used to express changes or differences, such as percentage increases or decreases in prices or quantities, or the percentage of people who hold a certain opinion or belong to a certain group.

Here,

To calculate the gain that can be deferred under the installment sale method, we need to first calculate the total gain on the sale. The total gain is equal to the selling price minus the adjusted basis of the property, which is the cost minus the accumulated depreciation.

Selling price = $99,800 cash + $998,000 note = $1,097,800

Adjusted basis = $798,400 - $479,040 = $319,360

Total gain = $1,097,800 - $319,360 = $778,440

To calculate the gain that can be deferred, we need to determine the gross profit percentage. The gross profit percentage is equal to the total gain divided by the selling price:

Gross profit percentage = Total gain / Selling price = $778,440 / $1,097,800 ≈ 0.7097 or 70.97%

Now we can calculate the amount of gain that can be deferred using the formula:

Gain deferred = Gross profit percentage × Payments received

Since the note is due in two years, Skylar will receive half of the payments in 2022 and the other half in 2023. Therefore, the payments received in 2022 are:

$99,800 + ($998,000 / 2) = $598,800

Substituting into the formula, we get:

Gain deferred = 0.7097 × $598,800 = $424,879.16

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The given expression is 4(8x + 5). This is a product of a coefficient and a binomial expression. In mathematics, a binomial is a polynomial with two terms.

They are represented as ax + b or a + bx or (a + b) etc. Given expression is 4(8x + 5). We can simplify this by applying the distributive property. It is given as follows; The distributive property of multiplication states that a(b + c) = ab + ac To simplify the given expression, we need to multiply the coefficient 4 with each term in the parentheses.

It can be done as follows; 4(8x + 5) = 4*8x + 4*5 We multiply 4 with 8x and 4 with 5 to obtain; 32x + 20 This is the main answer. Therefore, the simplified form of 4(8x + 5) is 32x + 20. To simplify the given expression 4(8x + 5), we can use the distributive property. According to this property, the product of a number with the sum of two or more terms is equal to the sum of the products of that number with each term of the sum. In other words, a(b + c + …) = ab + ac + … In the given expression, 4 is multiplied with the binomial (8x + 5). Hence,

4(8x + 5) = 4*8x + 4*5

= 32x + 20

Hence, the simplified form of 4(8x + 5) is 32x + 20.

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If not explain what P! 0.03 really means. The student's explanation is not entirely accurate. The statement "the P-value was P! 0.03" means that the P-value is less than or equal to 0.03, rather than that there is only a 0.03 probability that the null hypothesis is true.

In statistical hypothesis testing, the P-value represents the probability of obtaining a result as extreme or more extreme than the one observed, assuming the null hypothesis is true. If the P-value is less than or equal to the significance level (usually set at 0.05), then we reject the null hypothesis and accept the alternative hypothesis.

Therefore, a P-value of 0.03 means that the observed data is statistically significant and that we can reject the null hypothesis.

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Answer: 36 hours

Step-by-step explanation:

Using inverse variation,

7x=14x18

7x=252

x=252/7=36

Therefore, Time taken = 36 hours.

Since we know the rate to fill the reservoir, let's figure out how much water is required:

18 litres/minute × 14 hours × 60 minutes/hour = 15120 litres

Now, divide this value by our new rate, and this should give the time required to fill it, which is:

2160 minutes

Converting it from minutes to hours, the answer is 36 hours.

Answer:

10 minutes.

Step-by-step explanation:

5 hours = 300 minutes

90 minutes + 105 minutes + 115 minutes = 310 minutes of programmes.

310-300 = 10 leftover minutes missed

The estimated fish population in Lake Collins in 2008 is approximately 1,017 fish. The decay rate as decimal is 0.04.

To model the population decrease in Lake Collins, we can use the exponential decay function, which is given by:

P(t) = P₀ * (1 - r)^t

Where:

P(t) represents the population at time t

P₀ represents the initial population

r represents the decay rate (as a decimal)

t represents the time elapsed in years

In this case, the initial population in 2002 is 1,250 fish, and the decay rate is 4% per year, which can be expressed as 0.04. We need to find the population in 2008, which is 6 years after 2002.

Plugging the values into the formula, we have:

P(6) = 1,250 * (1 - 0.04)^6

P(6) = 1,250 * (0.96)^6

Calculating this expression, we find:

P(6) ≈ 1,250 * 0.814

P(6) ≈ 1,017.5

Therefore, the estimated fish population in Lake Collins in 2008 is approximately 1,017 fish.

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Answer:

it's 2          11 1/4

Step-by-step explanation:

Answer:

its 11 1/4

Step-by-step explanation:

cause I'm big brain

Answer:

Is it 0.25 tho or am i wrong??

Step-by-step explanation:

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Sandra saved $120 of the $300 she received.

the term "amount" is often used to refer to the quantity or value of something, such as a number or an expression.

For example, the amount of money in a bank account can be represented by a numerical value, such as $500.

The amount of a product in a container can also be represented by a numerical value, such as 10 liters of milk.

Sandra received 15 $20 bills for her birthday, which means she received a total of:

15 x $20 = $300

She spent 3/5 of this amount, so the amount she spent is:

Amount spent = (3/5) x $300

Amount spent = $180

Therefore, Sandra spent $180 of the $300 she received.

She saved 2/5 of the amount, so the amount she saved is:

Amount saved = (2/5) x $300

Amount saved = $120

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The complete question is -

sandra received 15 $20 bills for her birthday. She spent 3/5 and saved 2/5. How much did Sandra spend? How much did she save?

Answer:

Angle RUS = 160°

Step-by-step explanation:

Angle QUT is 160, and since angles QUT and RUS are vertical angles, they are congruent to each other.

So, Angle RUS = 160°

Answer: This is what I came up with after a few tries! 1/9x

Answer:

x+y=5

Step-by-step explanation:

Formula= Ax+By=C

change the equation up a little and get

x+y=5

The equation for the line of best fit in slope-intercept form is:

y = 9x + 44

To find the slope of the line of best fit using the given points, we can use the formula:

slope = (change in y) / (change in x)

Let's consider the two given points: (6, 98) and (4, 80).

(change in y) = 80 - 98 = -18

(change in x) = 4 - 6 = -2

Now we can calculate the slope:

slope = (-18) / (-2) = 9

So, the slope of the line of best fit is 9.

To write the equation for the line of best fit in slope-intercept form (y = mx + b), we need to find the y-intercept (b).

Let's choose one of the given points, (4, 80), and substitute the values into the slope-intercept form equation:

80 = 9(4) + b

Simplifying, we get:

80 = 36 + b

Now, solve for b:

b = 80 - 36 = 44

Therefore, the equation for the line of best fit in slope-intercept form is:

y = 9x + 44

Regarding outliers, the given data points do not indicate any outliers as all the points seem to fall relatively close to the line of best fit. However, without additional data or information on what constitutes an outlier, it is difficult to definitively determine if there are any outliers.

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Answer:

y = 5

Step-by-step explanation:

y = mx + c

y = 0x + 5

y = 5

This gives a flat line where y is always 5

The negative sign indicates that the car is 80 km to the West of the starting point.

In mathematics, a coordinate is a numerical value that represents a particular point on a line, plane, or space. Coordinates are used to locate points and describe their position relative to a reference point or system. The number of coordinates required to specify a point depends on the dimensionality of the space. For example, a point in one-dimensional space (a line) requires one coordinate, a point in two-dimensional space (a plane) requires two coordinates, and a point in three-dimensional space (a space) requires three coordinates. The most common coordinate systems are Cartesian coordinates, which use a system of perpendicular lines to define a point's location, and polar coordinates, which use angles and distances from a fixed point to define a point's location.

Here,

To solve this problem, we need to use the concept of displacement. Displacement is the shortest distance between the starting point and the ending point of a journey. First, we need to find the total distance traveled by the car.

Distance traveled while heading East = 80 km/hour × 3 hours

= 240 km

Distance traveled while heading West = 80 km/hour × 4 hours

= 320 km

Total distance traveled = 240 km + 320 km

= 560 km

Now, we can find the displacement of the car. Since the car traveled in opposite directions, we need to subtract the distance traveled towards West from the distance traveled towards East.

Displacement = 240 km - 320 km

= -80 km

The negative sign indicates that the car is 80 km to the West of the starting point.

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Complete question:

A car leaves a place and heads East for 3 hours. Then, it heads straight West for 4 hours. The car maintained a speed of 80 km per hour throughout the trip. What is the position of the car in relation to the starting point?

Answer:

d = 3h - 6

Step-by-step explanation:

Answer:

7. A

8. D

9. C

10. D

13. D

Step-by-step explanation:

Hope that helps :)

Answer:

The answer would be 2.

Step-by-step explanation:

U just subtract 39.21 -36.4= 2.81

Answer:

30

Step-by-step explanation:

29 - 19 = 10 (difference)

triple 10 now:

10 x 3 = 30

Answer:

C

Step-by-step explanation:

Volume of a pyramid = 1/3 base area * height

                                   = 1/3 (8 * 10)(12)

Therefore, In the trophic pyramid, there would be approximately 30 kilocalories of energy available for grizzly bears at the tertiary consumer level.

In a trophic pyramid, energy transfer between levels follows the 10% rule, meaning that each level receives about 10% of the energy available from the previous level. Grizzly bears are tertiary consumers, meaning they feed on secondary consumers.
From the first level (3,000 kcal) to the second level, we multiply by 0.1: 3,000 * 0.1 = 300 kcal. Then, from the second level to the third level: 300 * 0.1 = 30 kcal.

Therefore, In the trophic pyramid, there would be approximately 30 kilocalories of energy available for grizzly bears at the tertiary consumer level.

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a) T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂). So, T is a linear transformation.

b) T(A)=B, if B be any element of M₂

c) Range of T=={A∈ \(M_{ 2*2}\)/\(A^{T}\)=-A}

A matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns that is used to represent a mathematical object or an attribute of such an item.

A square matrix's determinant is a number connected with the matrix that is crucial for studying a square matrix; for example, a square matrix is invertible if and only if it has a nonzero determinant, and a square matrix's eigenvalues are the roots of a polynomial determinant.

Define T: \(M_{ 2*2}\) ⇒ \(M_{ 2*2}\) by T(A)=A+\(A^{T}\)

a) Let T is a linear transformation

Consider K₁A₁+K₂A₂ ∈  \(M_{ 2*2}\)

T( K₁A₁+K₂A₂)= K₁A₁+K₂A₂+( K₁A₁+K₂A₂)\(( K₁A₁+K₂A₂)^{T}\)

= K₁T(A₁)+K₂T(A₂)

T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂)

Therefore, T is a linear transformation.

b) Let B∈ \(M_{ 2*2}\) such that \(B^{T}\)=B

Therefore, B is a symmetric matrix.

Let A=(1/2)B∈ \(M_{ 2*2}\)

T(A)=A+\(A^{T}\)

=(1/2)B+\((1/2B)^{T}\)

T(A)=B

A=(1/2)B such that T(A)=B

c) Range of T is the set of B in  \(M_{ 2*2}\), \(B^{T}\)=B

T( \(M_{ 2*2}\))={B∈ \(M_{ 2*2}\)/ \(B^{T}\)=B}

d) Kernel of T={A∈ \(M_{ 2*2}\)/T(A)=0)

={A∈ \(M_{ 2*2}\)/A+\(A^{T}\)=0}

={A∈ \(M_{ 2*2}\)/\(A^{T}\)=-A}

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Three points Assuming M22 is the vector space containing all 22 matrices, T: M22 M22 is defined as T(A) = A + AT.

T is a linear transformation, therefore demonstrate it.

b) Assume that B is any element from M22 where BT = B. In M22, look for an A such that T(A) = B.

c) Explain the T kernel.

a) Verifying that T preserves sums and multiplication by scalars—which implies that T(0) = 0 in particular—is sufficient to determine if T is linear.

Additions: T(A+B) = A+B+A+B T = A+B+A T +B

T = (A + A T ) + (B + B T ) = T(A) + T (B).

Scalar multiplication

T(c · A) = (c · A)

T = c · A

T = c · T(A) (A).

b) Calculate A = 1 2B. Since AT = 1 2BT = 1 2B, T(A) = A + A.

T = \s1 \s2 \sB + \s1 \s2 \sB = B.

c) If 0 0 0 0 = A + A, then and only if A = a b c d, A is in the kernel of T.

If and only if 2a = b + c = 2d = 0, i.e., a = d = 0 and c = b, then T = a b c d + a c b d = 2a b + c b + c 2d. Therefore, the set ker(T) = 0 b b 0 : b R is the kernel of T.

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Answer:

2309

Step-by-step explanation:

V = pi times radius^2 times height

Answer: 2309

⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀

The cost of fencing the semicircular statutory garden is $616.80

The problem is requires fencing of a semicircular garden

The perimeter of a semicircle is given by the formula

= 1/2 ( πd ) + d

d = diameter = 30 feet

π = 3.14

calculating the perimeter

perimeter of the semicircle = 1/2 ( πd ) + d

perimeter of the semicircle = 1/2 ( π * 30 )+ 30

perimeter of the semicircle = 15π + 30

perimeter of the semicircle = 15 * 3.14 + 30

perimeter of the semicircle = 77.1

cost of the material

= perimeter of the garden * cost per linear foot

= 77.1 * 8

= $616.8

the cost of fencing the garden is calculated to be $616.80

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