Deposit $500, earns interest of 5% in first year, and has $552.3 end year 2. what is it in year 2?

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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Answer:

B. 7.735 km

Step-by-step explanation:

The height of a mountain is 7735 meters. What is its height in kilometers?

✓ It is: 7735/1000 = 7.735 kilometers

Answer: B

as 1000 metres = 1 km

The probability of event e occurring changes based on whether or not event f has occurred, indicating that events e and f are dependent and they are not independent.

To determine if events E and F are independent, we need to check whether the probability of their intersection is equal to the product of their individual probabilities. In this case, let E be the event that the sum of the two dice is 6, and let F be the event that the first die shows 4.

1. Calculate the probability of E (P(E)): There are 36 possible outcomes when tossing 2 dice (6 faces on each die). Five of these outcomes result in a sum of 6: (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1). Therefore, P(E) = 5/36.

2. Calculate the probability of F (P(F)): There are 6 possible outcomes where the first die shows a 4: (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), and (4, 6). Therefore, P(F) = 6/36 = 1/6.

3. Calculate the probability of the intersection of E and F (P(E∩F)): The intersection of E and F occurs when the sum is 6, and the first die shows a 4. There is only one such outcome: (4, 2). Therefore, P(E∩F) = 1/36.

4. Check if P(E∩F) = P(E) × P(F):
  P(E∩F) = 1/36
  P(E) × P(F) = (5/36) × (1/6) = 5/216

Since P(E∩F) ≠ P(E) × P(F), events E and F are not independent.

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Answer:

A. 195 > 14.1

Step-by-step explanation:

There are 9,405,814 distinct dolls that contain the undesirable statement among their four exclamations.

Since each doll has four exclamations, the total number of distinct dolls can be calculated as the number of ways to choose four statements from a set of 270 statements, which is given by the formula for combinations:

C(270, 4) = 270! / (4! * (270 - 4)!) = 4,012,060

Therefore, there are 4,012,060 distinct dolls with four exclamations.

To calculate the number of distinct dolls that contain the undesirable statement among their four exclamations, we can use the formula for combinations again, this time choosing three statements from the remaining 269 statements and one statement from the undesirable statement:

C(269, 3) * C(1, 1) = 269! / (3! * (269 - 3)!) * 1 = 9,405,814

Therefore, there are 9,405,814 distinct dolls that contain the undesirable statement among their four exclamations.

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Answer:

(3x+18)(x-3)

Step-by-step explanation:

3x^2 + 9x - 54 = 0

x^2 + 3x - 18 = 0

(x+6)(x-3) = 0

x = -6

x = 3

3(x-(-6)(x-3)

3(x+6)(x-3)

(3x+18)(x-3)

The correct graph of the quadratic equation y = 0.0012x² - 0.50x + 25.98 is shown in figure.

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The quadratic equation is,

⇒ y = 0.0012x² - 0.50x + 25.98

Now,

Since, The quadratic equation is,

⇒ y = 0.0012x² - 0.50x + 25.98

Hence, The graph of quadratic equation is shown in figure.

Thus, The correct graph of the quadratic equation y = 0.0012x² - 0.50x + 25.98 is shown in figure.

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Answer:

42°

Step-by-step explanation:

AD bisects ∠CAB, which means it splits ∠CAB into two equal parts. ∠CAB equals 84°. 84° ÷ 2 = 42°.

Given:

The figure of a circle.

Measure of arc = 176°

Measure of angle = (27x+7)°

To find:

The value of x.

Solution:

We know that the measure of central angle is equal to measure corresponding intercepted arc and the measure of central angle is twice of the measure of subtended angle on that arc.

So, the measure of arc is twice of measure of subtended angle on that arc.

\(m(arc FH)=2\times m\angle FGH\)

\(176^\circ=2\times (27x+7)^\circ\)

\(\dfrac{176^\circ}{2}=(27x+7)^\circ\)

\(88^\circ=(27x+7)^\circ\)

Now,

\(88=27x+7\)

\(88-7=27x\)

\(\dfrac{81}{27}=x\)

\(3=x\)

Therefore, the value of x is 3.

A certain bacteria strain needs 4 hours to double its population. If in the beginning there are 45 bacteria, after 1 day, the number of bacteria present is 2,880, after 2 days, the number of bacteria is 184,320, after 3 days, the number of bacteria is 11,796,480.

The problem can be solved using the exponential growth model.

In the given problem, the formula for the growth model is given, that is:

f(x) = 45 (64)^(x)

Where:

f(x) = total number of bacteria present after x days

To find f(x) for 1 day, 2 days, and 3 says, substitute x = 1, x = 2, and x = 3 into the formula.

f(1) = 45 (64)¹ = 2,880

f(2) = 45 (64)² = 184,320

f(3) = 45 (64)³ = 11,796,480

Hence,

after 1 day, the number of bacteria present is 2,880, after 2 days, the number of bacteria is 184,320, after 3 days, the number of bacteria is 11,796,480.

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The relationship between DE and AC, considering the triangle midsegment theorem, is given as follows:

The triangle midsegment theorem states that the midsegment of the triangle divided the length of the midsegment of the triangle is half the length of the base of the triangle, and that the midsegment and the base are parallel.

The parameters for this problem are given as follows:

Hence the correct statements are given as follows:

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The simplify value of numeric expression, 3 + 2, after adding 3456 then subtracting 45 and then dividing by 20 is equals the 17.8.

We have an expression of numbers, 3 + 2 we have to apply some arithematic operations on it and determine the final simplfy value. Let the expression be x = 3 + 2, add 3456 in it

=> x = 3 + 2 + 3456

Substracts 45 from above expression

=> x = 3 + 2 + 3456 - 45

Dividing the above expression of x by 20

=>

\(\frac{ x } {20} = \frac{ 3 + 2 + 3456 - 45}{20}\)

\(= \frac{3416}{20}\)

= 17.8

Hence, required simplify value is 17.8.

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There are complete 3 groups of 3/4 in 11/4.

There are complete 8 groups of 3/4 in 6 1/2.

To find the number of groups of 3/4 in 11/4, we divide it by 3/4.

\(\frac{\left(\frac{11}{4}\right)}{\left(\frac{3}{4}\right)}=3.67\)

So there are complete 3 groups of 3/4 in 11/4.

To find the number of groups of 3/4 in 6 1/2, we divide it by 3/4.

\(\frac{\left(6\frac{1}{2}\right)}{\left(\frac{3}{4}\right)}=\frac{\left(\frac{13}{2}\right)}{\left(\frac{3}{4}\right)}=8.67\)

So there are complete 8 groups of 3/4 in 6 1/2.

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Answer:

90 degrees

Step-by-step explanation:

90 degrees hhgffdfkgdf

Answer:

90 degrees clockwise rotation

Step-by-step explanation:

Because

Using the expression, 15x + 7y = 208 there were x = 12 baby dinosaurs and y = 4 adult dinosaurs.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Each baby dinosaur made 15 paintings and every adult dinosaur made 7 paintings.

The total number of paintings the entire herd made is 208.

There were 3 times as many baby dinosaurs as adult dinosaurs.

Now, let x be the number of baby dinosaurs and y be the number of adult dinosaurs.

Then,

x = 3y

So,

The expression for the total number of paintings will be:

208 = 15x + 7y

208 = 15(3y) + 7y

208 = 45y + 7y

208 = 52y

y = 4

So,

x = 3y = 3(4) = 12

There were 12 baby dinosaurs and 4 adult dinosaurs.

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a) The value of x, x and Probability(23 ≤ x ≤ 25) is 3.45 and 0.3989

b) The value of x, x and Probability(23 ≤ x ≤ 25) is 2.58 and 0.4738

c) The standard deviation of part (b) is smaller than part (a) because of the larger sample size. Therefore, the distribution about x is narrower

(a)Given distribution's mean = µ = 23, standard deviation = σ = 21 Sample size = n = 37

(a) The sample mean = µ = 23The standard error of the sample mean,

σ mean = σ/√n=21/√37 = 3.45

The lower limit = 23

The upper limit = 25

z-score corresponding to 25 is

= (25-23)/3.45

= 0.58

z-score corresponding to 23 is

= (23-23)/3.45

= 0P(23 ≤ x ≤ 25)

= P(0 ≤ z ≤ 0.58)

= P(z ≤ 0.58) - P(z < 0)

= 0.7202 - 0 = 0.7202

Hence, x = 23, mean = 23, P(23 ≤ x ≤ 25) = 0.7202

(b)The sample mean,  = µ = 23The standard error of the sample mean, σmean = σ/√n=21/√66 = 2.57The

lower limit = 23The upper limit = 25

z-score corresponding to 25 is

= (25-23)/2.57

= 0.78

z-score corresponding to 23 is

= (23-23)/2.57

= 0P(23 ≤ x ≤ 25)

= P(0 ≤ z ≤ 0.78)

= P(z ≤ 0.78) - P(z < 0)

= 0.7823 - 0= 0.7823

Hence, x = 23, mean = 23, P(23 ≤ x ≤ 25) = 0.7823

(c)The standard deviation of part (b) is smaller than that of part (a) because of the larger sample size. Therefore, the distribution about x is narrower. expect the probability of part (b) to be higher than that of part (a) because a smaller standard deviation indicates that the data points tend to be closer to the mean and, therefore, more likely to fall within a certain interval.

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3x-y=-9

Step-by-step explanation:

Answer: 3x - y = - 9

Step-by-step explanation:

Re-write the equation in the following form:

3x + 9 = y

Take the y to LHS:

3x + 9 - y = 0

Now, take the 9 to the RHS:

3x - y = -9. This is your answer.

The exponential function is y=2000(4/5)ˣ. 0.8 is the decay factor and 0.2 is the decay rate.

Given that,

The exponential function is y=2000(4/5)ˣ.

Parts of exponential function.

The general equation for an exponential growth function is :

y=a(b)ˣ

a is the initial value.

1. If b>1, growth. Then b is growth factor. r is the growth rate is b=1+r.

2. If 0<b<1, decay. Then b is decay factor. r is the decay rate is b=1-r.

Now, from the given y=2000(4/5)ˣ.

2000 is the initial value.

4/5=0.8 which is 0<0.8<1

So, 0.8 is the decay factor.

Decay rate r is

b=1-r

r=1-b

r=1-0.8

r=0.2

Therefore, 0.8 is the decay factor and 0.2 is the decay rate.

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This question is incomplete and it lacks the attached diagram of the square based pyramid. Find attached to this answer, the square based pyramid.

Correct Question

A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.

A. What is the slant height of the pyramid?

B. What is the surface area of the composite figure?

HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.

C. How many cubic yards of concrete are needed to make the planter?

Answer:

A. The slant height of the pyramid = 2.24 yards.

B. The surface area of the composite figure = 12.94 square yards.

C. The cubic yards of concrete are needed to make the planter = 2.67 cubic yards.

Step-by-step explanation:

A. What is the slant height of the pyramid?

To calculate the Slant height of a pyramid we make use of the Pythagoras Theorem which is given as:

a² + b² = c²

Where a = Height of the square pyramid represent by h

b = radius of the square pyramid represented by r

c = Slant height of the square pyramid represented by s

Therefore, we have

h² + r² = s²

Looking at the attached diagram, we are given the side length = 2 yards.

The radius of the square based pyramid = side length ÷ 2

= 2÷ 2 = 1 yard.

The height of a square based pyramid = 2 yards

Since , h² + r² = s²

The slant height of the square pyramid is calculated as :

√h² + r² = s

√(2² + 1²) = s

√5 = s

s = 2.24 yards

B. What is the surface area of the composite figure?

We were given hints in the question that the the surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.

Step 1

We find the Lateral area of the faces of the insides of the inverted pyramid

We have 4 faces, Hence,

The formula is given as

a × √( a² + 4h²

a = 2 yards

h = 2 yards

So, = 2 × √( 2² + 4 ×2²

The Lateral area of the faces = 8.94 square yards.

Step 2

Area of the 5 faces of the cube

= a²

Where a = side length = 2 yards

= 2²

= 4 square yards.

Step 3

Therefore, surface area of the composite figure = 8.94 square yards + 4 square yards

= 12.94 square yards.

C. How many cubic yards of concrete are needed to make the planter?

This is calculated by find the Volume of the Square based pyramid.

The formula is given as :

V = (1/3)a²h

Where a = side length = 2 yards

h = height of the square based pyramid = 2 yards

V = 1/3 × 2² × 2

V = 2.67 cubic yards

The given equation is

First, we subtract 5/3 on each side

Answer:

She went to go get the milk

Step-by-step explanation:

wait a minute ...............

After solving the expression ∛ (27 • 250), we get that option (C) 15 ∛2 is the correct option.

We are given the expression:

(27 • 250)^1/3

We need to evaluate the expression.

We can also write this expression as:

∛ (27 • 250)

First we will make factors of 27 and 250:

27 = 3 × 3 × 3

250 = 2 × 5 × 5 × 5

Now, we can write the expression as:

∛2 × 3 × 3 × 3 × 5 × 5 × 5

Now solving the cube root we get that:

= 3 × 5 × ∛2

= 15 ∛2

Therefore, after solving the expression ∛ (27 • 250), we get that option (C) 15 ∛2 is the correct option.

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A rational number is a number that can be represented by the division of 2 integers (no decimal parts)

So, the answer is yes.

-11/4 is a rational number.

To eliminate the connective from a biconditional like (P& R) ≡ Q and derive either part of the compound, you must know that either the left side (P&R) is true or the right side Q is true.

Therefore, options b and e apply. Option a is not necessarily true as the biconditional could be false. Option c is only applicable for deriving the truth of Q, not the left side.

Option d and f are incorrect answers and choosing them carries a penalty of one point per answer chosen.

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Each installment will be approximately $15,280.55.

To calculate the equal six-monthly installment, we can use the formula for the present value of an annuity.

Principal amount (P) = $500,000

Interest rate (r) = 12% per annum = 12/100 = 0.12 (compounded monthly)

Number of periods (n) = 20 (since there are 20 equal six-monthly installments)

The formula for the present value of an annuity is:

\(P = A * (1 - (1 + r)^(-n)) / r\)

Where:

P = Principal amount

A = Equal installment amount

r = Interest rate per period

n = Number of periods

Substituting the given values into the formula, we have:

$500,000 = \(A * (1 - (1 + 0.12/12)^(-20)) / (0.12/12)\)

Simplifying the equation:

$500,000 = A * (1 - (1.01)^(-20)) / (0.01)

$500,000 = A * (1 - 0.6726) / 0.01

$500,000 = A * 0.3274 / 0.01

$500,000 = A * 32.74

Dividing both sides by 32.74:

A = $500,000 / 32.74

A ≈ $15,280.55

Therefore, each installment will be approximately $15,280.55.

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the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

The minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is as follows:

95% confidence, within 5 percentage points, and a previous estimate of 0.25.

The formula to calculate the sample size required for the study to determine the proportion is given by:

`n = Z²pq / E²`

Where n = sample size

Z = z-value (1.96 at 95% confidence interval)

E = margin of error

p = estimated proportion of the population

q = 1 - pp

q = estimated proportion of population without the condition (1 - 0.25 = 0.75)

Given,

Z = 1.96E = 0.05p = 0.25q = 0.75

Substituting these values in the above formula, we get;

`n = (1.96)²(0.25)(0.75) / (0.05)²``n = 384.16`

Therefore, the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

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The midpoint of (3,5) and (6,0) is (9/2, 5/2)

The points are given as

(3,5) and (6,0)

The midpoint of the points is calculated using

Midpoint = 1/2 * (x1 + x2, y1 + y2)

So, we have

Midpoint = 1/2 * (3 + 6, 5 + 0)

Evaluate the sum

So, we have

Midpoint = 1/2 * (9, 5)

Evaluate the product

So, we have

Midpoint = (9/2, 5/2)

Hence, the midpoint of (3,5) and (6,0) is (9/2, 5/2)

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The value of X = 25.

Solution:

The two equations are

(i) the first condition is difference of x and y is 14

x - y = 14 ---------equation 1

(ii) the second condition of the given data is value of x is 3 times more than two times of y value.

x - 2y = 3 --------equation 2

From equation 2, we have to separate two variables x and y,

x = 3 + 2y  --------equation 3

We have to Substitute equation 3 in equation 1

3 + 2y - y = 14

3 + y = 14

y = 14 - 3

y = 11

Substitute y = 11 in equation 1........

x - 11 = 14

x = 14 + 11

x = 25

So, the value of x is 25 and y is 11.

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Answer:

Step-by-step explanation:

Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.

The difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...

The attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.

The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.

The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.

Since we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:

  2(x -y) -(x -2y) = 2(14) -(3)

  x = 25 . . . . . . . . . simplify