The amount of energy it takes to lift a box might be a function of which of the
following?
A. The weight of the objects inside the box
B. The shape of the box
C. The time of day that you are lifting it
​

If Colah Company purchased $2,000,000 of Jackson, Inc., 6% bonds at par on July 1, 2021. The journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

Journal entry is used by companies to record their day to day business transaction.

July 1 2021

Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000

December 31 2021

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

December 31 2021

Debit Available-for-sale securities $300,000

Unrealized Gain - Other comprehensive income $300,000

($2,000,000 - $2,300,000)

June 30 2022

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

The entry necessary upon sale of the Jackson bonds on July 1, 2022 is:

July 1 2022

Debit Available-for-sale securities  $2,300,000

Unrealized Gain-Other comprehensive income account $300,000

Credit Cash $1,800,000

Credit Realized Loss on the sale of Available-for-sale securities $200,000  

[$1,800,000 - $2,000,000= $200,000 (Realized Loss)]

2. Table to show the effect of the Jackson bonds on Colah’s net income,

                             2021                   2022                       Total

Net Income       $60 ,000        ($140,000)              ($80,000)

( 60,000 - $200,000= -$140,000)

OCI                       $300,000                                         $300,000

Comprehensive Income $360,000 ($140,000) $220,000

Therefore the  journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

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The statements that will be true about parallelogram ABCD are: A, B, D, and E.

Properties of a Parallelogram -

Diagonals of a parallelogram bisect each other into congruent segments.

Opposite angles and sides of a parallelogram are always congruent.

Alternate interior angles are always congruent in measure.

Thus, the following would be true of parallelogram ABCD:

AP ≅ CP (congruent segment's of a bisected diagonal)

BC ≅ AD (congruent opposite sides)

∠CAD ≅ ∠ACB (congruent angles)

∠BPC ≅ ∠APD (congruent angles)

Therefore, the statements that will be true about parallelogram ABCD are: A, B, D, and E.

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161.5 miles / 3.5 hrs = 46.143 mph

Answer:

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

Collinear points are the points on the same line.

There are two lines in the diagram.

The collinear points:

The points that are collinear are  D,G and E  and another set of points which are collinear are L,G and J.

The points which lie on the same straight line are known as collinear points.

Similarly, if three or more number of points are collinear then they form a straight line.

If we observe the figure, the points D,G and E are collinear points as they are on same line.

Similarly the points L, G and H are in the straight line which makes them collinear.

Therefore , the points L,G and J are collinear points.

Hence, the points that are collinear are  D,G and E and another set of points which are collinear are L,G and J

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Answer:

A. 7.5%

B. 68.26%

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 52.5 mm and a standard deviation of 2.5 mm.

This means that \(\mu = 52.5, \sigma = 2.5\)

A. Less than 48.9 mm

The proportion is the pvalue of Z when X = 48.9. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{48.9 - 52.5}{2.5}\)

\(Z = -1.44\)

\(Z = -1.44\) has a pvalue of 0.075

0.075*100% = 7.5%, which is the answer.

B. Between 49 and 55

The proportion is the pvalue of Z when X = 55 subtracted by the pvalue of Z when X = 49. So

X = 55

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{55 - 52.5}{2.5}\)

\(Z = 1\)

\(Z = 1\) has a pvalue of 0.8413

X = 49

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{49 - 52.5}{2.5}\)

\(Z = -1\)

\(Z = -1\) has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826*100% = 68.26%, which is the answer.

The percent of the butterflies had the given wingspans are;

A) 7.5%

B) 76.64%

We are given;

Population mean; μ = 52.5 mm

Population standard deviation; σ = 2.5 mm

Formula for z-score is;

z = (x' - μ)/σ

A) For less than 48.9 mm,P(X' < 48.9);

z = (48.9 - 52.5)/2.5

z = -1.44

From online p-value from z-score calculator, we have;

P(X' < 48.9) = 0.075 or 7.5%

B) For x' between 49 and 55, P(49 < X < 55)

At x' = 49;

z = (49 - 52.5)/2.5

z = -1.4

Z-score at x' = 55;

z = (55 - 52.5)/2.5

z = 1

From online p-value from z-score calculator, the p-value between the two z-scores is;

p = 0.7664 or 76.64%

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Answer:

(f –  g)(x) =

x2 + x – 4

Step-by-step explanation:

The answer is A on edge, hope this helps!

The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.

Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.

If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).

Here, x = 1 and y = 8.Substituting these values in the given equation,

we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,

the ordered pair (1, 8) is a solution of the equation y = 2x + 6.

Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12

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The given information of the hourly base pay of Wilma ($9.00), and Willie ($8.00) gives the attached completed table

The given information are as follows;

Number of hours Wilma Workerette worked = 43.5 hours

Wilma's base pay = $9.00/hour

Amount for time over 40 hours = Time and a half

The rate for overtime work is therefore;

Overtime rate = $9.00 × 1.5 = $13.50

The completed table is therefore;

Rate Regular hours Overtime hours Total

$9.00 40. N/A. $360

$13.50 3.5. $47.25

Gross. $407.25

Second part;

Number of hours, Willie Worker worked = 42

Willie's base pay = $8.00

Rate for time over 40 hours = Time and a half

Number of overtime hours worked = 2

Time used to calculate overtime rate is the therefore;

Overtime = 2 × 1.5 = 3

The completed table is therefore;

Rate Regular hours Overtime hours Total

N/A. 2.

$8.00. 40. 3. 43

$344

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Answer:

This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.

Step-by-step explanation:

z = (x - mu)/sd

z = (2625 - 2600)/50 = 25/50 = 0.5.

Consulting the z-table, P(z <= 0.5) = 0.6915.

P(z > 0.5) = 1 - P(z <= 0.5) = 1 - 0.6915 = 0.3085.

I hope this helped! <3

Answer:

Oldest to newest:

10^-35, 10 ^-10, 0

Step-by-step explanation:

Scientific notation

To figure out the power of 10 think "how many places do I move the decimal point?"

When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.

When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.

Answer: The approximate solution is

(4,-1)

Step-by-step explanation:

The point of intersection of the two lines is the solution of the linear systems represented by the graph.

From the graph we can determine that each box is 2 units.

From the graph, when we start at O and count two boxes to the right and half box down, we obtain the point of intersection of the two lines to be

Note that since each box is two units, half way between the boxes gives one unit.

Answer:  x<10

Step-by-step explanation:

2x-8<12

2x-8+8<12+8

2x<20

\(\frac{2x}{2}\)<\(\frac{20}{2}\)

x<10

Answer:

Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)

Step-by-step explanation:

As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.

11^2 + 5^2 = AC^2

121 + 25 = AC^2

146 = AC^2

sqrt(146) = AC^2

Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)

Answer:

a. Coplanar

Step-by-step explanation:

To be coplanar means to be on the same plane. Since C, D, E, and G are on the same plane, they can be called coplanar. Back and Hidden are not math terms. Collinear means points lay on the same line

Answer: A. Coplanar

Step-by-step explanation:

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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Answer:

$8 per person

Step-by-step explanation:

32 divided by 4 is 8

32 : 4 = 8 : 1

The three integers are 24, 26 and 28 respectively.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given are three consecutive even integers.

Assume that the integers are -

x, (x + 2), (x + 4)

According to question -

x + x + 2 = x + 4 + 22

2x + 2 = x + 26

x = 24

x + 2 = 26

x + 4 = 28

Therefore, the three integers are 24, 26 and 28 respectively.

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The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.

The volume of a solid is the three dimensional space the solid occupies.

The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;

Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³

Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³

70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³

The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0

The number of times Johnny needs to use the wheelbarrow is about 41 times

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Answer:

  J' = (-2, -4)

Step-by-step explanation:

It appears that point J is (-3, -6). The dilation by 2/3 about the origin causes each of these coordinates to be multiplied by 2/3:

  J' = ((2/3)(-3), (2/3)(-6))

  J' = (-2, -4)

Answer:

(-2, -4)

Step-by-step explanation:

J = (-3, -6)

J' = 2/3(-3, -6)

J' = (-2, -4)

Answer:

Area = 84 square unit

Step-by-step explanation:

Given the triangle is right angle triangle. According to Pythagoras theorem, the largest amount the sides is the hypotenuse. and the others are base and height respectively.

Therefore, hypotenuse = 25, base = 7, height = 24

\(Area \ of \ triangle = \frac{1}{2} \times \ base \times height\)

                        \(= \frac{1}{2} \times 7 \times 24 \\\\= 7 \times 12 \\\\= 84 \ square \ unit\)

Answer:

A = 84 units^ 2

Step-by-step explanation:

The longest side length is also the hypotenuse of this right triangle:  25.  Therefore the leg lengths must be 7 and 24.  The legs are perpendicular to one another.  If we let the base be 7 and the height 24, then the area of the triangle is A = (1/2)(base)(height), or

A = (1/2)(7)(24) = 84 units^ 2

Answer:

5

Step-by-step explanation:

The quantity of candy that Eric ate would be = 14/15

The quantity of Candy Kim had = 2⅓ pounds.

The quantity of Kims candy that Eric ate = 2/5

That is 2/5 of 2⅓.

The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15

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Answer:

Step-by-step explanation:

15y + 10 + 25y + 10

Answer:

Solution here,

Step-by-step explanation:

For simplify

First multiply the terms inside the brackets with the term outside the bracket i.e 5.

5(3y+2)+5(5y+2)

15y+10+25y+10

35y+20

Answer:D

Step-by-step explanation:

(4/5)^0

4^0/5^0=1/1=1

The correct option of system of equations that can be used to find the temperature at which the degrees Celsius and the degrees Fahrenheit would be equivalent is the option;

5·F - 9·C = 160

F - C = 0

A system of equation, is a set of equation that have common variables.

The equation for conversion of the temperature in degrees Celsius to the temperature in degrees Fahrenheit is; 9·C = 5·F - 160

When the temperature in degrees Celsius is equivalent to the temperature in degrees Fahrenheit, we get;

F = C

Therefore;

F - C = 0

Similarly, from the specified equation, we get;

9·C = 5·F - 160

5·F - 9·C = 160

The system of equation that would give the temperature where the degrees Celsius and degrees Fahrenheit are equivalent is therefore;

5·F - 9·C = 160

F - C = 0

(Which yields a temperature of 40°)

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