A catering business purchased a light truck on April 5, 2019 to deliver breakfast

restaurants. The business paid $27,000 for the truck

Determine the total depreciation amount for 2020 assuming the taxpayer opted out of Sec. 179 and bos (if alable) in the your of pe In addition, assume all taxpayers use a calendar year tax period and that the property memmoned was the only property purchased a bey of acquisition. Use the appropriate depreciation table from your note sheet textbook where nocevary

OL None of the answers given here.

O $5,400

$8,640

OV $6,612

OV. $8,100

Answer:

See explanation

Step-by-step explanation:

Required

The significance of "b" in exponential function

An exponential function is represented as:

\(y = ab^x\)

In the above equation, parameter "b" is the rate of the function

In other words, the constant multiplier of the function.

Take for instance;

\(y = 2*4^x\)

By comparison:

\(b = 4\)

Another instance is:

\(y = 2(-4)^x\)

By comparison

\(b = -4\)

Other significance of parameter b are:

If \(b > 0\) then b represents a growth factor

If \(b < 0\) the b represents the factor of decay

\(b \ne 0\) i.e. b is never 0

Answer:

m∠D = 49°
m∠E = 41°
m∠F = 90°

Step-by-step explanation:

        We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.

Given:

        90° + 5x° + 14° + 3x° + 20° = 180°

Combine like terms:

        8x° + 124° = 180°

Subtract 124 from both sides of the equation:

        8x° = 56°

Divide both sides of the equation by 8:

        x = 7

        Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.

m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°

The work done in pulling the rope up 20 ft is 101.43 ft-lbs.

To find the work done in pulling the rope up 20 ft, we need to first determine the initial potential energy of the rope before it is lifted up. We can do this using the formula:

Potential Energy = weight * height

where weight is the weight of the rope and height is the distance the rope is hanging from.

Given:

Length of the rope (L) = 70 ft

Weight of the rope (Wt) = 49 lbs

Height of the building (H) = 100 ft

Height to which the rope is lifted (h) = 20 ft

Using the Pythagorean theorem, we can find the distance (d) the rope is hanging from the building:

d^2 = H^2 + L^2

d^2 = 100^2 + 70^2

d^2 = 10000 + 4900

d^2 = 14900

d = \(\sqrt{14900}\)

d = 122.07 ft

Now we can find the initial potential energy of the rope:

Potential Energy = Wt * d

Potential Energy = 49 * 122.02

Potential Energy = 5981.43 ft-lbs

Next, we need to find the final potential energy of the rope after it is lifted up 20 ft. The height to which the rope is lifted is (H + h) = 100 + 20 = 120 ft. Using the same formula as before, we get:

Final Potential Energy = Wt * (H + h)

Final Potential Energy = 49 * 120

Final Potential Energy = 5880 ft-lbs

Finally, we can find the work done in lifting the rope up 20 ft:

Work Done = Initial Potential Energy - Final Potential Energy

Work Done = 5981.43 - 5880

Work Done = 101.43 ft-lbs

Therefore, the work done in pulling the rope up 20 ft is 101.43 ft-lbs.

Know more about Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ11

Answer:

Step-by-step explanation:

Answer:

10/3

3.3reaping

3 1/3

Step-by-step explanation:

Answer: \(\geq\) 9 lawns, assuming Fiona spends 1 hour per lawn.

Step-by-step explanation:

Let Y = the amount earned from mowing a lawn.  Let z be the number of hours worked on that lawn.

Y = $10 + $5(z)

We need to know the number of hours, z, for any particular lawn to be able to make this a valid equation.  Not having that, we really can't set up a valid equation.  

But let's assume z=1 for each and every lawn and see what we'd have.

Y = $10 + $5

Y = $15/lawn.

Fiona needs at least $135 for her Broadway ticket.

Let L be the number of lawns mowed.  We need:

L*($15/lawn) \(\geq\) $135

L  \(\geq\) 9 lawns

Answer: To solve the quadratic equation, we can start by simplifying the left side of the equation:

9(x^2 −10)−3 = 7

9x^2 - 90 - 3 = 7

9x^2 - 93 = 7

Next, we can isolate the x^2 term by adding 93 to both sides:

9x^2 = 100

Finally, we can solve for x by taking the square root of both sides and considering both the positive and negative square roots:

x = ±√(100/9)

x = ±(10/3)

Therefore, the solutions to the quadratic equation are:

x = 10/3 or x = -10/3.

Step-by-step explanation:

Answer: x=10/3

Step-by-step explanation:

9(x^2-10)-3=7

=>9(x^2-10)=7+3

=>x^2-10=10/9

=>x^2=10/9+10

=>x^2=100/9

=>x=10/3

Answer:

7 over 9 so 7/9

Step-by-step explanation:

Answer:

x = 7/ 9  

Step-by-step explanation:

Let  x =  0.777777777777 ... ... ... ...  ...........(A)  

then  10 x = 7.7777777777777 ... ... ... ... ............(B)

Subtracting (A) from (B)

9 x  = 7  and  x = 7 /9

Mark me brainliest

The equation of a line passing through the point (5,-3) and parallel to 6x+3y=-12 is y =-2x+7.

Parallel lines are those that never intersect. As a result, two parallel lines must have the same slope but different intercepts (if they had the same intercepts, they would be identical lines).

The equation of the line is 6x+3y=-12.

6x+3y=-12​

3y =-12-6x

y = -2x-4    

The slope of this line is -2.

Because parallel lines have the same slope, the new line will also have a slope of -2.

You now have a point (5,-3) and a slope; thus, use the Point-Slope form to solve the equation of a line.

y-y₁= m(x-x₁)

y+3 = -2(x -5)

y+3 = -2x+10

y =-2x+7

The equation of a line passing through the point (5,-3) and parallel to 6x+3y=-12 is y =-2x+7.

To know more about equation of parallel lines, visit:

https://brainly.com/question/402319

#SPJ9

Answer:

b hope this helps

Step-by-step explanation:

Answer: b

Step-by-step explanation:

(a) The interval on which f is increasing is (-42/49, ∞).

(b) The interval(s) on which f is concave up is (-5.08, -1.36).

(a) To find the interval(s) on which f is increasing, we need to find the derivative of f(x) and determine where it is positive.

f(x) = ln(49x² + 84x + 100)

Taking the derivative of f(x) with respect to x:

f'(x) = (1 / (49x² + 84x + 100))× (98x + 84)

To find the critical points where f'(x) = 0, we set the numerator equal to zero:

98x + 84 = 0

98x = -84

x = -84/98

x = -42/49

Now we can test the intervals on either side of the critical point to determine where f'(x) is positive (increasing). Choosing test points, -1 and 1:

For x < -42/49:

f'(-1) = (1 / (49(-1)² + 84(-1) + 100)) ×(98(-1) + 84) = -0.0816

For -42/49 < x < ∞:

f'(1) = (1 / (49(1)² + 84(1) + 100)) × (98(1) + 84) = 0.0984

Since f'(-1) < 0 and f'(1) > 0, we can conclude that f(x) is increasing on the interval (-42/49, ∞).

Therefore, the interval on which f is increasing is (-42/49, ∞).

(b) To find the interval(s) on which f is concave up, we need to find the second derivative of f(x) and determine where it is positive.

Taking the derivative of f'(x) with respect to x:

f''(x) = (98 / (49x² + 84x + 100)) - (98x + 84)(2(98x + 84) / (49x² + 84x + 100)²)

Simplifying f''(x):

f''(x) = (98 - (2(98x + 84)²) / (49x² + 84x + 100)²) / (49x² + 84x + 100)

To find the intervals where f''(x) > 0, we can determine where the numerator is positive:

98 - (2(98x + 84)²) > 0

Expanding and simplifying:

98 - (392x² + 1176x + 7056) > 0

-392x² - 1176x + 6958 > 0

We can use the quadratic formula to find the roots of the quadratic equation:

x = (-(-1176) ± √((-1176)² - 4(-392)(6958))) / (2(-392))

x = (1176 ± √(1382976 + 10878016)) / (-784)

x = (1176 ± √(12260992)) / (-784)

x = (1176 ± 3500.71) / (-784)

x ≈ -5.08, -1.36

So, the interval(s) on which f is concave up is (-5.08, -1.36).

Note: The question about the average annual price of single-family homes is unrelated to the given function f(x) and its properties. If you have any further questions, feel free to ask!

Learn more about quadratic formula here:

https://brainly.com/question/22364785

#SPJ11

Answer:

Let's denote the total cost as C and the number of hours as h. The equation to model this relationship can be written as:

C = 5 + 0.25(h - 2)

The first part, 5, represents the flat rate for 2 hours or less. The second part, 0.25(h - 2), represents the additional hours beyond 2 hours, where each hour costs $0.25.

To calculate the cost of parking for 10 hours, we can substitute h = 10 into the equation:

C = 5 + 0.25(10 - 2)

C = 5 + 0.25(8)

C = 5 + 2

C = $7.00

Therefore, you would have to pay $7.00 to park for 10 hours.

To find out how many hours $10 will buy, we can set the equation equal to $10 and solve for h:

10 = 5 + 0.25(h - 2)

0.25(h - 2) = 10 - 5

0.25(h - 2) = 5

h - 2 = 5 / 0.25

h - 2 = 20

h = 20 + 2

h = 22

Therefore, $10 will buy you 22 hours of parking

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

The child's body weight is 28 kg. The ampicillin dose is 25 mg/kg. To find the required dose of ampicillin for the child, you need to multiply the child's weight by the dosage. 28 kg × 25 mg/kg = 700 mg The required dosage is 700 mg. A 250 mg capsule of ampicillin is given.

Therefore, the number of capsules required is calculated as follows. Number of capsules = Required dose/Capsule dosage = 700/250 = 2.8 capsules The number of capsules to be given is 2.8. Round up to 3 capsules to be given. Therefore, 3 capsules of ampicillin should be administered to the child.6a. A bottle that contains Dilantin has a concentration of 125 mg/mL and a volume of 5.0 mL. You may use the following conversion formulae to find out how many milligrams are contained in this bottle.

Dilantin bottle: 5.0 mL × 125 mg/mL = 625 mg/mL Therefore, there are 625 milligrams of Dilantin in a bottle of 5.0 mL. The oral suspension of Dilantin has a concentration of 125 mg/mL. The bottle is 5.0 mL in volume. To find the number of milligrams in the bottle, you need to multiply the concentration and volume. Concentration = 125 mg/mL Volume = 5.0 mL125 mg/mL × 5.0 mL = 625 mg The bottle contains 625 mg of Dilantin.6b. The patient requires a dose of 100 mg of Dilantin, which has a concentration of 125 mg/mL. To determine the volume of Dilantin that should be given, you may use the following conversion formula

Dilantin dose = Volume × Concentration

Rearrange the formula to solve for the volume.

Volume = Dilantin dose/Concentration

= 100/125 = 0.8 mL Therefore, 0.8 mL of Dilantin should be administered to the patient. patient requires a dose of 100 mg of Dilantin. The concentration of Dilantin is 125 mg/mL. To calculate the volume of Dilantin to be administered, we can use the formula Dilantin dose = Volume × Concentration Rearrange the formula to solve for the volume.

Volume = Dilantin dose/Concentration

= 100/125 = 0.8 mL Therefore, 0.8 mL of Dilantin should be administered to the patient.

To know more about weight visit:

https://brainly.com/question/31659519

#SPJ11

Answer:

n = 3200

Step-by-step explanation:

200 = 1000 - \(\frac{n}{4}\) ( subtract 1000 from both sides )

- 800 = - \(\frac{n}{4}\) ( multiply both sides by 4 to clear the fraction )

- 3200 = - n ( multiply both sides by - 1 )

n = 3200

Answer:

(6, -4)

Step-by-step explanation:

you do the x axis first and then the y axis.

The coordinates of the point of the grid with the dot placed in the fourth quadrant is; (-4, 6)

We are told that there is a coordinate grid with a dot placed in the fourth quadrant.

Now, the dot is to the left of negative 4 on the y-axis and below positive 6 on the x-axis. This means that the coordinate of the point will be -4, 6.

Thus, we can conclude that the coordinate of the given point of the dot is (-4, 6).

Read more about Graph Coordinates at; https://brainly.com/question/14323743

The triangles' corresponding sides' are proportional and their corresponding angles are congruent therefore, the triangles are sim

The correct option is C). proportional; congruent; similar

When the triangle is dilated from the origin at a scale factor of 2 to create Triangle then, the image of the triangle and the original triangle are similar to each other

However for similar triangles, corresponding angles are equal or congruent, and corresponding sides are in ratio or scaled

For example : A triangle ABC is dilated by a factor of 3 and centered at (-5,-4)

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ1

Answer:36.33333333 but rounded it is basically 36

Step-by-step explanation:

what you have to do is 327 divided by 9 then you get your answer then round

Answer:

8 and 5.

Step-by-step explanation:

x - y = 3

x + y= 13

by elimination method ,we get

2x = 16

x = 16/2

x = 8

8 + y = 13

y = 13 - 8

y = 5

x = 8 ,y = 5

Answer:

8 and 5

Step-by-step explanation:

Answer:

(not my answer but) its 268

Step-by-step explanation:

Therefore, the displacement of the wheel during this interval is approximately 141.372 cm.

To find the displacement of the wheel during this interval, we need to determine the distance traveled by a point on the rim of the wheel.

Given:

Radius of the wheel: 45.0 cm

The wheel rolls without slipping

The wheel rolls through one-half of a revolution

Since the wheel rolls without slipping, the distance traveled by a point on the rim of the wheel is equal to the circumference of the wheel for each complete revolution. Therefore, the distance traveled for one-half of a revolution is equal to half the circumference of the wheel.

The circumference of a circle can be calculated using the formula: C = 2πr, where r is the radius of the circle.

Using the given radius of the wheel, we can calculate the circumference:

C = 2π(45.0 cm) ≈ 2π(45.0) cm ≈ 282.743 cm (rounded to three decimal places)

Since the wheel rolls through one-half of a revolution, the displacement is equal to half the circumference of the wheel:

Displacement = 0.5 × 282.743 cm ≈ 141.372 cm (rounded to three decimal places)

To know more about displacement,

https://brainly.com/question/28523509

#SPJ11

The wheel's displacement is equal to the 282.6 cm that it has covered in its voyage.

We must ascertain the wheel's distance traveled and the displacement's direction.

Since the wheel has completed one-half of a revolution, the distance it has gone is equal to half its circumference. The formula: can be used to determine a circle's circumference:

Circumference = 2 * π * radius

In this case, the radius of the wheel is 45.0 cm. Let's calculate the circumference:

Circumference = 2 * π * 45.0 cm

Circumference ≈ 2 * 3.14 * 45.0 cm

Circumference ≈ 282.6 cm

So, the distance traveled by the wheel is approximately 282.6 cm.

The wheel's displacement is the angular separation between its starting point, where it first makes contact with the ground, and its finishing point, where it stops after rolling through one-half of a rotation. The point of contact with the floor does not move since the wheel is moving without slipping.

Therefore, the wheel's displacement is equal to the 282.6 cm that it has covered in its voyage.

Learn more about radius here : brainly.com/question/12908707

#SPJ4

Answer:

răspuns corect 2

Step-by-step explanation:

dami coroana te rog

Slope intercept form: \(y=mx+b\)

We can identify two points on the given graph and solve for the slope and the y-intercept.

Two clear points on the graph are (6,0) and (0,6).

First, we can solve for the slope by using the slope equation:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\) where two points are \((x_1,y_1)\) and \((x_2,y_2)\)

⇒ Plug in the points (6,0) and (0,6):

\(m=\dfrac{0-6}{6-0}\\\\m=\dfrac{-6}{6}\\\\m=-1\)

Therefore. the slope of the line is -1. Plug this into \(y=mx+b\):

\(y=-x+b\)

Now, we can find the y-intercept. It is the value of y when the line crosses the y-axis.

In this case, we can see on the graph that this is 6.

\(y=-x+6\)

\(y=-x+6\)

Answer:

55

Step-by-step explanation:

The list of all the positive common divisors of 48 and 60 is:1, 2, 3, 4, 6, 12.

To find all the common divisors of 48 and 60, we need to first list the divisors of both numbers. So let's list out the divisors of both 48 and 60.

Divisors of 48:1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 60:1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Now, we can identify the common divisors by comparing the two lists. The common divisors of 48 and 60 are:1, 2, 3, 4, 6, 12

In division, we divide a number by any other number to get another number as a result. So, the number which is getting divided here is called the dividend. The number which divides a given number is the divisor.

Know more about divisors here:

https://brainly.com/question/26086130

#SPJ11

When Joan examines the graph, she notes that there are always three times as many steps as there are feet. She is not correct.

A simple graph is a graph that does not have more than one edge between any two vertices and no edge starts and ends at the same vertex. In other words a simple graph is a graph without loops and multiple edges.

According to the graph we were shown, if she takes 6 steps, that implies she is walking 18 feet. To write this down in mathematics, let x be the number of steps she is taking and y be the number of feet she has covered. If x = 6 and y = 18, then x  3 times equal to y.

From the graph, we can see that when the steps are two, then feet are six, the steps are four, then feet are twelve, and the steps are six, then feet are eighteen.

x= 2,4,6 then y = 6,12,18

x*n = y

2 * n = 6.

4* n = 12

6*n = 18 and so on

n = 3

that is x*3 = y

3times steps is the number of feet, is the correct statement.

To know more about graph click the link:

brainly.com/question/17267403

#SPJ1

The value of the product is 6.9  × 10⁵ m

It is important to note that to determine the product of two different measurements, we need to make sure they have the same units.

Now, we have that;

6.9cm *10000000m​

First, let's convert the centimeters to meters , we have;

1m = 100cm

then, xm = 6.9cm

cross multiply the values

x = 6.9/100

Divide the values

x = 6. 9 × 10⁻²m

Then, we have;

6. 9 × 10⁻² × 10⁷m

Multiply the values and add the exponents

6. 9  × 10⁻²⁺⁷

Add the values

6.9  × 10⁵ m

Learn about multiplication at: https://brainly.com/question/28768606

#SPJ1

Answer:

see below

Step-by-step explanation:

A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles.

A rhombus is a parallelogram with four congruent sides.

A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles.

A trapezoid is a quadrilateral with exactly one pair of parallel sides.

The binary multiplication of 10011 and 1011, assuming unsigned integers, is 1000101 (209 in decimal).

To perform the binary multiplication of 10011 (19 in decimal) and 1011 (11 in decimal), follow these steps:

1. Write down the two binary numbers, with the larger one on top:
  10011
x  1011

2. Starting from the rightmost digit of the bottom number, multiply it by the entire top number, writing the product below, aligned with the current digit:
  10011
x  1011
  -----
    10011   (1 * 10011)

3. Move one position to the left in the bottom number, and repeat step 2. Add a zero to the rightmost position of the product to account for the place value:
  10011
x  1011
  -----
    10011
  00000   (0 * 10011)

4. Continue this process for each digit in the bottom number:
  10011
x  1011
  -----
    10011
  00000
 10011   (1 * 10011)

5. Finally, add all the products together:
  10011
x  1011
  -----
    10011
  00000
 10011
  -----
1000101   (final product)

So, the binary multiplication of 10011 and 1011, assuming unsigned integers, is 1000101 (209 in decimal).

Learn more about integers here:

https://brainly.com/question/30461111

#SPJ11