Accounts receivable arising from sales to customers amounted to $86,000 and $77,000 at the beginning and end of the year, respectively. Income reported on the income statement for the year was $290,000. Exclusive of the effect of other adjustments, the cash flows from operating activities to be reported on the statement of cash flows is

we have the equations of the lines

Line 1

10x+4y=-8

isolate the variable y

4y=-10x-8

y=-(10/4)x-8/4

y=-2.5x-2

Line 2

2y=-5x+7

isolate the variable y

y=-(5/2)x+7/2

y=-2.5x+3.5

Line 3

y=-(5/2)x-6

y=-2.5x-6

Remember that

If two lines are parallel, then their slopes are equal

In this problem

The three lines have the same slope (slope m=-2.5)

that means

the three lines are parallel

the answer is

Answer:

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

First determine the interest and then use the formula for ordinary interest.

Calculate the interest:

Use the ordinary interest formula:

Plug in the values and solve for Time:

Isolate the Time variable:

Tara would have to pay back the loan in approximately 120 days.

Answer:

25 min

Step-by-step explanation:

60-50=10

10+15=25

Step-by-step explanation:

If the sum of 3 numbers is 150, then their average is 50. Then if they are consecutive even numbers, then they are 48, 50 and 52. The smallest 48.

Answer:

the smallest of the three numbers is 48

48+50+52 =150

Step-by-step explanation:

smaller number = x

next even number = x+2

next even number = x+4

x+x+2 + x+4 =150

3x+6= 150

3x=144

x= 48

48+2 = 50

48+4 = 52

48+50+52 = 150

Answer:

Step-by-step explanation:

for question 4, the x= 116 °  

they are just trying to show you that the degrees of the arc, is also the degrees of the angle from the center point of the circle.. and then they will get "tricky" with that idea :/

for question 5  x = 90 °

they just want you to recognize that a "tangent" line is  90 ° is all

for question 6 they want you to know this formula

(b -a) /2    where b = the bigger arc and a is the smaller arc

so (134 - 54) /2

80 / 2

40 °

the answer to 6 is 40 °

leave a comment if you want more explanation of how I got those :)

The correct answer is Option D i.e;  It would depreciate to E2

Given that,

Please see Figure 13-2.  The economy was originally in equilibrium at r0 and E0

To find : What would happen to the exchange rate if import quotas were eliminated by the government ?

Economic forces must be in balance for there to be economic equilibrium. Economic variables essentially hold true to their equilibrium values in the absence of outside influences. Market equilibrium is another name for economic equilibrium.

Therefore, the correct answer is Option D i.e;  It would depreciate to E2

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On the second computer, the size of the issue instance that can be solved in 5 minutes is √(48400) = 220.

Assuming n as the problem instance size:

For O(n) complexity, the size of the problem instance that can be solved in 5 minutes on a computer 16 times faster than the first one would be:

5 * 16 = 80 minutes for the first computer to solve instance size n

80 / 5 = 16 is the factor by which the second computer is faster

220¹⁶ = 2240 is the size of the problem instance that can be solved in 5 minutes on the second computer.

For O(log₂n) complexity, we can use the formula 5 * 2¹⁶ = 327680 minutes as the time taken for the first computer to solve the problem instance of size 2²⁰.

327680 / 5 = 65536 is the factor by which the second computer is faster.

Therefore, the size of the problem instance that can be solved in 5 minutes on the second computer is 2²⁰ / 65536 = 32.

For O(2ⁿ) complexity, we can solve for n using the formula 5 * 2²⁰ = 5242880 minutes as the time taken for the first computer to solve the problem instance of size 2²⁰.

5242880 / 5 = 1048576 is the factor by which the second computer is faster.

Therefore, the size of the problem instance that can be solved in 5 minutes on the second computer is log₂(1048576) = 20.

For O(n²) complexity, we can use the formula 5 * 220² = 242000 minutes as the time taken for the first computer to solve the problem instance of size 220.

242000 / 5 = 48400 is the factor by which the second computer is faster.

Therefore, the size of the problem instance that can be solved in 5 minutes on the second computer is √(48400) = 220.

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Answer:

b

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Part 1: The polynomial that represents the area of the hot tub = x² ft²; pool = (12x²-60x+75)ft² ; patio =.

Part 2: Cost of hot tub= $320; pool=$2541; patio = $104

To determine the area of the hot tub, pool and patio is carried out using the formula for the area of rectangle. That is; Area of rectangle = length× width

length = X ft

width = X ft

area = x² ft²

length = (6x-15) ft

width = (2x-5) ft

area = 6x -15× 2x-5

= 12x²-30x-30x+75

= (12x²-60x+75)ft²

length= (10x-12) ft

width = 2 +(2x-5)

= (2x-3) ft²

The cost of hot tub, pool and patio when X= 8 would be as follows:

area = x²

X = 8

area = 64ft²

But 1 ft² = 5$

64 ft² = ?

cost of hot hub = 64×5 = $320

area = (12x²-60x+75)ft²

where X = 8

area = 12(8)²-60(8)+75

= 768-480+75

= 363ft²

But 1 ft² = $7

363ft² = ?

cost of the pool = 363×7 =$2541

Area = (2x-3) ft²

X = 8

area = 2(8)-3

= 13ft

But 1 ft² = $8

. 13ft² = ?

Cost of patio = 13×8 = $104

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Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

we can bought 6 inches of wire which costs 24 cents

The height of the skyscraper is D. 156.26 ft

To determine the height of the skyscraper,  we need to consider the following trigonometric identities listed thus;

From the information given, we have that;

Angle, θ = 38 degrees

The shadow casted is the adjacent side of the angle and is 200 ft

The height off the skyscraper is the opposite side

Now, using the tangent identity, we have that;

tan θ = opposite/adjacent

tan 38 = h/200

cross multiply the values, we get;

h = 200(0.7812)

Multiply the values

h = 156. 26 ft

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The experimental probability that a person selected at random is going to City C is 2/15

Probability is the likelihood of a desired event happening.

Experimental probability is a probability that relies mainly on a series of experiments.

Experimental probability (City C) = number of responses for City C / total responses

number of responses for City C = 12

Total responses = 28 + 38 + 12 + 18 + 4 = 90

Experimental probability (City C) = 12/90 = 2/15

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The length of arc RS on circle X is 17.99 centimeters.

To find the length of arc RS on circle X, we need to calculate the circumference of the entire circle and then determine what portion of the circumference is represented by the central angle of 110 degrees.

The circumference of a circle is given by the formula C = 2πr, where r is the radius. In this case, the radius of circle X is 9 centimeters, so the circumference is C = 2π(9) = 18π centimeters.

To find the length of arc RS, we need to determine what fraction of the entire circumference is represented by the central angle of 110 degrees. A full circle has 360 degrees, so the fraction of the circumference represented by the central angle is 110/360.

To find the length of arc RS, we multiply the fraction of the circumference by the total circumference of the circle. Therefore, the length of arc RS is (110/360) * 18π.

Simplifying the expression, we have (110/360) * 18π = (11/36) * 18π.

Canceling out the common factors, (11/36) * 18π = (11/2)π.

Now, we can approximate the value of π as 3.14. Therefore, the length of arc RS is (11/2) * 3.14.

Calculating the approximate value, we have (11/2) * 3.14 ≈ 17.99 centimeters.

Therefore, the approximate length of arc RS on circle X is approximately 17.99 centimeters.

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Answer:

Point-Slope: \(y+4=-\frac{1}{2}(x+3)\)

Slope-Intercept: \(y=-\frac{1}{2}x-\frac{11}{2}\)

Step-by-step explanation:

The point-slope formula is \(y-y_{1}=m(x-x_{1} )\). The slope-intercept formula is \(y=mx+b\). Since we are given the point and slope, we can directly plug it into the point-slope formula.

Point-Slope

\(y-(-4)=-\frac{1}{2}(x- (-3))\)

\(y+4=-\frac{1}{2} (x+3)\)

To find the slope-intercept form, we can manipulate the point-slope form to get the slope-intercept form.

Slope-Intercept

\(y+4=-\frac{1}{2}x-\frac{3}{2}\)

\(y=-\frac{1}{2}x-\frac{11}{2}\)

Answer: Point slope form   y+4= -1/2(x+3)  

Slope intercept form: y=-1/2x -11/2

Step-by-step explanation:

(-3,-4) : m= -1/2  

So we know the slope and to write it in point slope form it will be like ,

y- b = m(x-a)   Where b is the y value and a is the x value  and m in this case is the slope .

y- (-4) = -1/2 ( x-(-3)   which reduces to  y+4= -1/2(x+3)

Now to write it in slope intercept form  it will be  like y=mx+b and we kow htat m is the slope but we do not know b the y-intercept. But using the given coordinates we could plot it into the formula and solve for b.

y = mx +b

We  know that y is -4  

We know that m is -1/2  

we know that x is  -3  

so  -4 = -1/2(-3) + B

    -4  = 3/2 + b

   -3/2    -3/2

  b= -11/2  

We know now that the y intercept is -11/2 so we could write  it in slope intercept form.

y= -1/2x - 11/2

First of all, we start writing the information of the problem:

Friday 2 pounds

Saturday 3 1/2 pounds

Sunday N pounds

She has to pick up more than 10 pounds of trash, then:

2 + 3 1/2 + N >10

5 1/2 + N > 10

Finally, the answer is the letter A

1. The percentage of maize flour is given as 16.7 %

2. The common ratio of the GP is r = 1.5.

1. We have to set up equation

60x + 90(1 - x) = 85

60x + 90 - 90x = 85

now we have to solve for the value of x

-30x = -5

x = 5 / 30

x = 0.167

Hence percentage of maize flour is given as 16.7 %

2. a + ar = 20 (1)

ar + ar^2 = 30 (2)

We can rearrange equation (1) to get an expression for a:

a = 20 / (1 + r)

Now, we can substitute a into equation (2) to get an equation only in terms of r:

\(20r / (1 + r) + 20r^2 / (1 + r) = 30\\20r + 20r^2 = 30(1 + r)\\20r + 20r^2 = 30 + 30r\\20r^2 - 10r - 30 = 0\\2r^2 - r - 3 = 0\)

Solving this quadratic equation, we get:

We have two solutions, r = 1.5 and r = -1. But since the GP is increasing, we discard the negative solution. Therefore, the common ratio of the GP is r = 1.5.

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Answer:

The x-intercept is (4, 0)

The y-intercept is (0, -5)

Step-by-step explanation:

The x-intercept is always (x, 0)

Knowing this we can sub 0 for y in the equation so we can find the x-intercept

\(5x-4y=20\\5x-4(0)=20\\5x=20\)

Now solve for x

\(5x=20\\\frac{5x}{5} =\frac{20}{5} \\x=4\)

The x-intercept is (4,0)

The y-intercept is always (0, y)

Knowing this we can sub 0 for x in the equation so we can find the y-intercept

\(5x-4y=29\\5(0)-4y=20\\-4y=20\)

Now solve for y

\(-4y=20\\\frac{-4y}{-4} =\frac{20}{-4} \\y=-5\)

The y-intercept is (0, -5)

Answer:132,090.30

Step-by-step explanation:

r = R/100

r = 4.6%/100

r = 0.046 per year,

A = P(1 + r/n)nt

A = 77,000.00(1 + 0.046/1)(1)(12)

A = $ 132,090.30

Answer:133727.67

Step-by-step explanation:

133727.67

X/5 -1/2 = x/6

Find the least common denominator of the 3 denominators:5,2,6

The limited is 30

Multiply all 3 fractions by 30:

6x -15 = 5x

Subtract 6x from both sides:

-15 = -x

Multiply both sides by -1:

X = 15

Answer:

=2

Step-by-step explanation:

-x/x + 3

  -1 +3 +2

Answer:

Step-by-step explanation:

Year 1: $850 * 0.91 = $773.50

Year 2: $773.50 * 0.91 = $704.69

Year 3: $704.69 * 0.91 = $641.95

...

Year 34: (continue the pattern)

We can continue this calculation for each year, but to save time, we can use an exponential decay formula:

Remaining Amount = Initial Amount * (1 - rate)^years

Substituting the values:

Remaining Amount = $850 * (1 - 0.09)^34

Calculating this expression:

Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88

After 34 years, approximately $255.88 will be left with Sally.

Answer: $8

Step-by-step explanation: each cartoon is 4 dollars

and she need 2

2•4=8

Answer:

4(2b) and 8b

Step-by-step explanation:

4(2b) = 4x2b= 8b

Answer:

551 ft

Step-by-step explanation:

i pretty sure thats it sorry if its wrong

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:

100

Step-by-step explanation:

meal costs 80 dollars

ok

Angie paid 10%

ok

left 15% tip

ok

Ok so let's solve

80/100=0.8

now mutiply by 10

8

she paid 8$ sales tax

now get 0.8*15

12

she paid 12$ tip

total have to add now

12+8+80=100

Hope this helps

Answer:

1 is -8 2 is -9i

Step-by-step explanation:

when you combine the numbers on the left side they should equal the ones on the right side. -8+15=7 -3i-9i=-12i  = 7-12i

Answer:

A or C

Step-by-step explanation:

well, two angles are a linear pair if the angles are adjacent and the two unshared rays form a line. The linear pair postulate states that two angles that form a linear pair are supplementary

Hope this helps

Linear pair example below:

Answer:

518,400ways

Step-by-step explanation:

nPr=n/n-r

10P3=10/(10-3)

=10/7

=10x9x8x7x6x5x4x3x2x1/7

=3,628,800/7

=518,400 ways

There is a total of 120 ways by which a teacher can ask 3 students from 10 students to complete the task.

Statistics frequently employs the binomial distribution as a discrete distribution. When compared to a binomial distribution, the normal distribution is continuous.

The chance for 'x' success of an investigation in 'n' trials is represented by the binomial distribution.

As per the given data in the question,

Total number of students in the class = 10

So, the ways the teacher can ask 3 students to complete the task will be,

= ¹⁰C₃ = 10!/[3! (10 - 3)!]

= (10 × 9 × 8 × 7!)/[3! × 7!]

= 720 / 6

= 120 ways.

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