A newsstand seller sold a total of 68 magazines and newspapers, which brought in a total of $199 on a certain day. Newspapers sell for $2 per copy and magazines sold for $5 per copy. How many magazines were sold on that day?

Answers

Answer 1

Answer:

21

Step-by-step explanation:

Using inequality to solve this question, we say

Let the total number of newspapers sold be x

Let the total number of magazines sold by y

x + y = 68

Suppose 1x = $2 and 1y = $5, then

2x + 5y = $199

Solving both as a simultaneous equation, we get that

2(68 - y) + 5y = $199

136 - 2y + 5y = $199

136 + 3y = $199

3y = 199 - 136

3y = 63

y = 63/3

y = 21

Then solving for x, we have

x + 21 = 68

x = 68 - 21

x = 47

Therefore, a total of 21 magazines were sold that day


Related Questions

how to simplify cos(6x) + 1

Answers

cos(6x) +1
= 32cos^6(x)−48cos^4(x)+18cos^2(x)

How many minutes are equal to 2 hours 20 minutes? how many minutes are equal to 2 hours 20 minutes? 100 120 220 240 none of these

Answers

Answer:

None of the answers

Step-by-step explanation:

There are 60 minutes in one hour so to find the number of minutes in two hrs we multiply 2 by 60: 2*60 = 120 minutes

We then add the extra 20 minutes: 120+20 = 140 minutes

None of the answers include 140 minutes.

Find the polar coordinates in radians from the given rectangular coordinates (-11, -3).

Answers

the polar coordinates are:

(√130, 285.3°)

How to find the polar coordinates?

For rectangular coordinates (x, y), the polar coordinates are:

[tex]R = \sqrt{x^2 + y^2}[/tex]

For the angle θ we need to notice that if both coordinates are negative, like in this case, we would be on the fourth quadrant, then:

θ = arctan(y/x) + 270°

In this case, we have:

x = -11

y = -3

Then:

[tex]R = \sqrt{(-11)^2 + (-3)^2} = \sqrt{130} \\\\\theta = arctan(-3/-11) + 270\° = 285.3\°[/tex]

Then the polar coordinates are:

(√130, 285.3°)

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Select the correct answer from the drop-down menu.
Compare the steps for constructing a perpendicular line to line ABthrough point C using a reflective device and using paper.
.C
A
When using paper to construct the perpendicular line, the paper is folded so that
line ABwill lie exactly on top of each other.
When using a reflective device to construct a line perpendicular to line AB, set one end of the device to coincide with
then swing the other end of the device so the reflection of line ABcoincides with
All rights reserved.
Reset
Next
and the two sides of
and

Answers

The  C is perpendicular to AB

When using paper, the paper perpendicular te construct to is folded so that AB is divided equally and the two sides of. line AB will lie exactly on top of each other.

When using a reflective device to construct a live perpendicular to line AB, set One end of the device to coincide with point C, and then swing the other end of the device so that the reflection of line AB coincides with the midpoint of AB

The question is incomplete hence the complete question is shown here

Select the correct answer from the drop-down menu. Compare the steps for constructing a perpendicular line to line  through point  using a reflective device and using paper. , When using paper to construct the perpendicular line, the paper is folded so that and the two sides of line  will lie exactly on top of each other. When using a reflective dewice to construct a line perpendicular to line  , set one end of the device to coincide with , and then swing the other end of the device so the reflection of line  coincides with.

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Answer:

I toke the test, I think the first one is A and  B coincide

Step-by-step explanation:

Tom has x bags of apples. he buys 8 times more and sells 12. write the amount he has left as an algebraic expression:

Answers

Answer:

Step-by-step explanation:

x times 8 +12

8x+x=9x-12

Answer = 9x-12

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.

Answers

Answer:

? = 120°

Step-by-step explanation:

the central angle is the same as the arc that subtends it , that is

? = 120°

NOOOOOOOOOOOOOOOOOOOOO

HELP!!!!!!QUICK!!!!!!!

Answers

Help with what? I don’t see anything.

Please i really need help
for both qeutions
100 points

Answers

Answer:

7. a) slope = 5

7. b) slope = 1/2

8. slope = 1

Step-by-step explanation:

slope = rise/run

rise is the vertical change, run is the horizontal change

7. a)

Pick any two points on your line. (0,0) and (1,5) are easy to work with.

The vertical change between the two points is 5

The horizontal change between those points is 1

so slope = 5/1 = 5

7. b)

Again, you can use (0,0) as one of your points. The point (2,4) is good as the second.

slope = 4/2 = 1/2

8. We don't have a graph, but we are given two points to work with, (1,4) and (5,8). Use the formula given...

m = slope = (y2-y1) / (x2-x1)

= (8 - 4) / (5 - 1)

= 4/4

= 1

I hope that helped!

Which of the statements below is true for the following set of numbers?42,10,36,51,70,28

Answers

Answer:

statement 1(one)

Step-by-step explanation:

"The average speed of a vehicle and the distance it covers in a period " Is this a direct proportion​

Answers

Answer:

Yes

Step-by-step explanation:

As the Average speed increases, the amount of distance covered will increase. As the average speed decreases, the amount of distance traveled will decrease as well over a certain period.

The area of Marc's square garden is 225 ft².
What are the dimensions of his garden?

F. 5 ft by 45 ft
H. 15 ft by 15 ft
G. 12 ft by 12 ft
J. not given

Answers

Answer:

H. 15 ft by 15 ft

Step-by-step explanation:

area of square = side²

225 ft² = side²

side = √(225 ft²)

side = 15 ft

Answer: H. 15 ft by 15 ft

15 athletes are assigned to one of three teams. Each team will have five athletes. The teams are different, so it matters who gets assigned to which team. How many ways are there to assign the athletes to the teams

Answers

Answer:

There is only one way to assign the athletes to the team by giving 5 athletes to each team

A local salesman receives a base salary of $975 monthly. He also receives a commission of 6% on all sales over $1200. How much would he have to sell in a month if he needed to have a monthly income of $2500

Answers

He has to sell in a month $26616.67.

Given that a local salesman receives a base salary of $975 monthly and he also receives a commission of 6% on all sales over $1200.

A numerical assertion wherein two articulations are delivered equivalent to each other is known as an algebraic condition.

Let the Sales amount be s.

We have:

Sales over 1,200 is written as

s-1200

6% is also 0.06  as a decimal,

so according to question, we have

0.06(s - 1200) + 975=2500

Now, we will apply the distributive property a(b+c)=ab+ac, we get

0.06s-0.06×1200+975=2500

Further, we want to simplify the left-hand side, we get

0.06s-72+975=2500

0.06s+903=2500

Furthermore, we will subtract 903 from both sides, we get

0.06s+903-903=2500-903

0.06s=1597

Now, we will divide both sides with 0.06, we get

0.06s/0.06=1597/0.06

s=26616.67

Hence, he have to sell in a month if he needed to have a monthly income of $2500 is $26616.67.

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Jake started biking to the coffee shop traveling 8 mph, after some time the bike got a flat so Jake walked the rest of the way, traveling 4 mph. If the total trip to the coffee shop took 9 hours and it was 60 miles away, how long did Jake travel at each speed

Answers

Jake travel to the coffee shop by bike with speed of [tex]8mph[/tex] is  [tex]56mile[/tex] and when bike got a flat so Jake walked [tex]4mile[/tex]

How to find the speed by biking and walking ?

let [tex]b[/tex] = time spent biking

then   [tex]8-b[/tex] =time spent walking

Write distance equation

[tex]dist=speed *time[/tex]

So bike distance [tex]+[/tex] walk distance [tex]=60mile[/tex]

[tex]8b+4(8-b)=60\\8b+32-4b=60\\4b=60-32\\b=28/4\\\\b=7hrs[/tex]

Then [tex]8-7=1 hrs[/tex] spent walking.

For cross check the answer find that actual distance for each

[tex]8(7)=56mi\\4(1)=4mi\\-------\\total distance=60mile[/tex]

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HELP! what is this? what’s the answer?!

Answers

D. not continuous at X=0

if you trace the function you'll find a jump in the graph. To be continuous the line can't have any breaks in it. In this example, it's discontinuous when X=0

1)Convert the following binary numbwers into decimal number(only a,b,c,f,i)

Answers

#1

(11)_2(1×2⁰+1×2¹)_10(1(1)+1(2))_10(1+2)_10(3)_10

#b

(110)_2(0+1×2¹+1×2²)_10(2+4)_10(6)_10

#c

(111)_2(1×2⁰+1×2¹+1×2²)_10(1+2+4)_10(7)_10

#f

(10011)_2(1×2⁰+1×2¹+0+0+1×2⁴)_10(1+2+16)_10(19)_10

#i

(10110101)_2(1×2⁰+0+1×2²+0+1×2⁴+1×2⁵+0+1×2⁷)_10(1+4+16+32+128)_10(181)_10

Answer:

a) 3₁₀

b) 6₁₀

c) 7₁₀

f) 19₁₀

i) 181₁₀

Step-by-step explanation:

Binary to Decimal Conversion (Positional Notation Method)

Multiply each digit by the base (2) raised to the power dependent upon the position of that digit in the binary number. Sum all the values obtained for each digit.Express the number as a decimal number by placing subscript 10 after it.

For a binary number with 'n' digits:

The right-most digit is multiplied by 2⁰The left-most digit is multiplied by [tex]\sf 2^{n-1}[/tex]

For example, to convert the binary number 111001₂ into a decimal:

[tex]\begin{array}{ c c c c c c}1 & 1 & 1 & 0 & 0 & 1\\\downarrow & \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \\2^5 & 2^4 & 2^3 & 2^2 & 2^1 & 2^0\\\end{array}[/tex]

Multiply each digit by the base (2) raised to the power as indicated above and sum them:

[tex]=(1 \times 2^5)+(1 \times 2^4)+(1 \times 2^3)+(0 \times 2^2)+(0 \times 2^1)+(1 \times 2^0)[/tex]

[tex]= 32+16+8+0+0+1[/tex]

[tex]= 57[/tex]

Finally, express as a decimal number ⇒ 111001₂ = 57₁₀

Question (a)

[tex]\begin{aligned}\implies 11_2 & = (1 \times 2^1)+(1 \times 2^0)\\& = 2+1\\& = 3\end{aligned}[/tex]

Therefore, 11₂ = 3₁₀

Question (b)

[tex]\begin{aligned}\implies 110_2 & = (1 \times 2^2)+(1 \times 2^1)+(0 \times 2^0)\\& = 4+2+0\\& = 6\end{aligned}[/tex]

Therefore, 110₂ = 6₁₀

Question (c)

[tex]\begin{aligned}\implies 111_2 & = (1 \times 2^2) +(1 \times 2^1)+(1 \times 2^0)\\& =4+2+1\\& = 7\end{aligned}[/tex]

Therefore, 111₂ = 7₁₀

Question (f)

[tex]\begin{aligned}\implies 10011_2 & =(1 \times 2^4)+(0 \times 2^3)+ (0 \times 2^2) +(1 \times 2^1)+(1 \times 2^0)\\& =16+0+0+2+1\\& = 19\end{aligned}[/tex]

Therefore, 10011₂ = 19₁₀

Question (i)

[tex]\phantom{)))}10110101_2 \\\\=(1 \times 2^7)+(0 \times 2^6)+(1 \times 2^5)+(1 \times 2^4)+(0 \times 2^3)+ (1 \times 2^2) +(0 \times 2^1)+(1 \times 2^0)\\\\=128+0+32+16+0+4+0+1\\\\= 181[/tex]

Therefore, 10110101₂ = 181₁₀

You want to retire on the equivalent of $50,000 per year in today's money. inflation is expected to be 3%. you will retire in 30 years. you will earn 10% annually on your investments from not till retirement and you will earn 8% during retirement (which is expected to last 20 years). how much do you need to save per month in order to fund this retirement?

Answers

$662.18 needs to be saved per month.

$90,000 now at 3% inflation will become 90000*1.03^30 after 30 years.

i.e.  $218,454 is required in retirement years (for 20 years)

Calculating the PV of these payments at 7% is calculated as below.

FV = 0

1/y = 7%

n=20; PMT = 218454; calculate PV = $2,314,305

Now we want to get $2,314,305 at the start of retirement by saving per year. Enter the following in the financial calculator to get the per month amount.

FV = 2314305; PV = 0; n= 12*30; 1/y = 12%/12; calculate PMT  = $662.18

So $662.18 needs to be saved per month.

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A random sample of n = 4 scores is obtained from a normal population with m = 30 and s = 8. what is the probability that the sample mean will be smaller than m = 22?

Answers

the probability that the sample mean will be smaller than m = 22 is 0.02275.

For the given question,

A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.

Here sample size, n = 4

mean, μ = 30

standard deviation, σ = 8

The probability that the sample mean will be smaller than m = 22 is

z = [tex]\frac{m-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

⇒ z =[tex]\frac{22-30}{\frac{8}{\sqrt{4} } }[/tex]

⇒ z = [tex]\frac{22-30}{\frac{8}{2} }[/tex]

⇒ z = [tex]-\frac{8}{4}[/tex]

⇒ z = -2

Refer the Z table for p value,

Thus for P(z < -2) is 0.02275.

Hence we can conclude that the probability that the sample mean will be smaller than m = 22 is 0.02275.

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Which expression is equivalent to startfraction 3 x superscript negative 6 baseline y superscript negative 3 baseline over 15 x squared y superscript 10 baseline endfraction? assume x not-equals 0, y not-equals 0.

Answers

The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline endFraction.

Given expression [tex](3x)^-6*y^-3/ 15x^2*y^10[/tex]

Lets simplify the equation:

[tex]= > (3x)^-6*y^-3/ 15x^2*y^10\\=1/5 x^-8*y^-13[/tex]

Expression:

An expression is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)

Hence the correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction.

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One cupcake weighs 3 1/2 ounces how many cupcakes are there in 28 ounce package

Answers

Using division, the 8 cupcakes are there in 28 ounce package if one cupcake weighs 3 1/2.

According to the question,

One cupcake weighs 3 1/2 ounces. In order to find the number of cupcakes are there in 28 ounce package.

1 cupcake = 7/2 ounces

x cupcakes = 28 ounces

28 = 7/2 * x [cross multiplication]

x = (28*2)/7     [Using division]

x = 8

Hence, using division, the 8 cupcakes are there in 28 ounce package if one cupcake weighs 3 1/2.

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10 points to you if you help me
and brainlyist

Answers

Answer:

Step-by-step explanation:

For the frequency distribution, count the numbers that satisfy each category.

79 to 83: 4 (81, 82, 83, 81)

84 to 88: 3 (87, 88, 86)

89 to 93: 7 (92, 93, 93, 93, 90, 90, 91)

94 to 98: 1 (97)

For the historagram, raise the bars at the bottom of the histogram to the numbers above (4, 3, 7, 1; in this order)

Can you help me,pls

Answers

Answer:

  x^4 +2 +x^-4

Step-by-step explanation:

The square of a binomial is a form worthy of memorization.

  (a +b)² = a² +2ab +b²

Application

Here, you have a binomial with a=x² and b=1/x². Using these values in the pattern, we have ...

  [tex]\left(x^2+\dfrac{1}{x^2}\right)^2=(x^2)^2+2(x^2)\dfrac{1}{x^2}+\left(\dfrac{1}{x^2}\right)^2\\\\=\boxed{x^4+2+\dfrac{1}{x^4}}[/tex]


The expression 40x²-65x + 50 represents the sum of the interior angles of a regular pentagon in degrees. If the
interior angles of the pentagon are equal, which expression represents the measure of two angles?

Answers

Answer:

[tex]16x^2-26x+20[/tex]

Step-by-step explanation:

Since it represents the sum of interior angles, the angle is essentially: [tex]angle + angle + angle + angle + angle[/tex], and there are 5 angles since a pentagon has 5 interior angles. To find what one interior angle is, we simply divide the polynomial by 5, to do this we can just divide each coefficient by 5 (distributing the division): [tex]\frac{40x^2-65x+50}{5} = \frac{40x^2}{5} - \frac{65x}{5} + \frac{50}{5}[/tex] this simplifies to: [tex]8x^2-13x+10[/tex]. This represents what one of the interior angles is. Since we want an expression measuring two of the angles, we simply multiply this polynomial by 2, to do this we just multiply each coefficient by 2 (distributing the 2): [tex]2(8x^2-13x+10) = 16x^2-26x+20[/tex] which is the solution

what is 23,578 times 39,344

Answers

927,652,832.

Hope this helps

Answer:927652832

Step-by-step explanation:

using long multiplication step by step multiply.

Tas
The three points marked on the graph are
the vertices (corners) of a parallelogram.
10
9
y
8
7
6
5
4
3
2
1
A
1 2
C
2
B
3 4 5 6 7 8 9
10
What are the coordinates of the fourth
vertex?

Answers

Answer: (8,10)

Step-by-step explanation:

To go from A to C, we go right 2 units and up 6 units.

So, if we let the fourth vertex be D, then to go from B to D, we must also go right 2 units and up 6 units from B.

Therefore, the answer is (8, 10).

WILL. GIVE BRAINLIEST IF RIGHT!!​

Answers

Answer:

The class and exam medians are almost the same.

Step-by-step explanation:

The median of a box-and-whisker plot is the line inside the box.

• As we can see, the medians of  class and median are very similar, both around 85. This is why the first option is correct.

•The second option is incorrect because the exam median is not much higher than the class median; the difference is very small.

• The third option is incorrect because exam does not have the lowest median. In fact, exam median is slightly higher than class median.

• The fourth option is incorrect because outliers do not affect the median.

pls help me on this one :((

Answers

Answer:

The answer is B) b

Step-by-step explanation:

According to the Trapezoid area formula, the area of the trapezoid is [(2d+a+b) × c] ÷ 2, however the area also equals (d+b) × c.

So d+(a+b)/2=d+b

(a+b)/2=b

a+b=2b

a=b

hope this helps <3

I need help solving this problem

Answers

Answer:

Please see the picture below.

Step-by-step explanation:

SOMEONE PLEASE HELP!!! Find the area of the sector. Round your answer to the nearest tenth.

Answers

Answer:

398.2 cm^2

Step-by-step explanation:

[tex]\frac{270}{360}[/tex] * [tex]169\pi[/tex] ≈398.2 cm^2

1) (x-y)(y-2)(x+2) / 2x^2+4yz+6 =
2) 4(x+y)(x-y)(y-x) / t+d+m =
3) ( √25+√9 / 2 ) + √21675 =
4) (9x^2+3x+27)(3+6y)(4+6y) / 1+2a+38+4c+2000z =
5) (x^2+6x+5) / (x+2)(x+6) =
^^^Simplify
6) (xy/m) + (xm/y) - (m/x) = 63 x=
Isolate

Could anyone help me with these?

Answers

See below for the solution to each expression

How to solve the expressions?

Expression 1

The expression is given as:

(x-y)(y-z)(x+z)/(2x^2+4yz+6)

Expand the numerator

(x^2 - y^2 -xz + yz)(x + z)/(2x^2+4yz+6)

Further, expand the numerator

(x^3 - xy^2 - x^2z + xyz + x^2z - y^2z - xz^2 + yz^2)/(2x^2+4yz+6)

Evaluate the like terms

(x^3 - xy^2  + xyz - y^2z - xz^2 + yz^2)/(2x^2+4yz+6)

Hence, the equivalent expression of (x-y)(y-z)(x+z)/(2x^2+4yz+6) is (x^3 - xy^2  + xyz - y^2z - xz^2 + yz^2)/(2x^2+4yz+6)

Expression 2

The expression is given as:

4(x+y)(x-y)(y-x)

Apply the difference of two squares

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

Expand the expressions in the brackets

4(x^2y - x^3 - y^3 + xy^2)

Open the bracket

4x^2y - 4x^3 - 4y^3 + 4xy^2

Hence, the equivalent expression of 4(x+y)(x-y)(y-x) is 4x^2y - 4x^3 - 4y^3 + 4xy^2

Expression 3

The expression is given as:

(√25+√9/2) + √21675

Take the square roots of 25, 9 and 21675

(5 +3/2) + 5√867

Evaluate the sum

13/2 + 5√867

Hence, the equivalent expression of (√25+√9/2) + √21675 is 13/2 + 5√867

Expression 4

The expression is given as:

(9x^2+3x+27)(3+6y)(4+6y) /1+2a+38+4c+2000z

Factor out 3 and 2 from the numerator

3(3x^2 +x + 9) * 3(1 + 2y) * 2(2 + 3y)/1+2a+38+4c+2000z

This gives

18(3x^2 +x + 9)(1 + 2y)(2 + 3y)/1+2a+38+4c+2000z

The expression cannot be further simplified.

Hence, the equivalent expression of (9x^2+3x+27)(3+6y)(4+6y) /1+2a+38+4c+2000z is 18(3x^2 +x + 9)(1 + 2y)(2 + 3y)/1+2a+38+4c+2000z

Expression 5

The expression is given as:

(x^2+6x+5)/(x+2)(x+6)

Factorize the numerator

(x + 1)(x + 5)/(x + 2)(x + 6)

Hence, the equivalent expression of (x^2+6x+5)/(x+2)(x+6) is (x + 1)(x + 5)/(x + 2)(x + 6)

Expression 6

6) (xy/m) + (xm/y) - (m/x) = 63

Factor out x

x(y/m + m/y) - m/x = 63

Evaluate the sum

x(y^2 + m^2)/y - m/x = 63

Multiply through by xy

x^2(y^2 + m^2) - my = 63xy

Add my to both sides

x^2(y^2 + m^2)  = 63xy + my

The above implies that the variable x cannot be isolated from the equation

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After a function's last statement is executed, the program returns to the next line after the___a. function call b. function definition c. import statement d. start of the program be sure to answer all parts. using data from the appendix, calculate s o rxn and ssurr for each of the reactions and determine if each is spontaneous at 25c. (a) 2 kclo4(s) 2 kclo3(s) o2(g) How Environmental Factor influence domestic and international tourism tourism in south Africa as a tourist destination Eastevan Company calculated its return on investment as 10 percent. Sales are now $500,000, and the amount of total operating assets is $520,000 Required a. If expenses are reduced by $53,300 and sales remain unchanged, what return on investment will result? (Round your answer to 2 decimal places.(i.e., .2345 should be entered as 23.45).) b. If both sales and expenses cannot be changed, what change in the amount of operating assets is required to achieve the same result? (Do not round intermediate calculations. Round your answer to the nearest whole dollar amount.) a. Return on investment %b. Operating assets must by T/F:Mike is a bartender. Every day he pockets $20 or so by not ringing up some sales when paid in cash. Mike, because he is stealing from his employer while on the job, is guilty of embezzlement. In a long series of coffee orders, it is determined that 70% of coffee drinkers use cream, 55% use sugar, and 35% use both.A Venn Diagram. One circle is labeled C and the other is labeled S.Suppose we randomly select a coffee drinker. Let C be the event that the person uses cream and S be the event that the person uses sugar. How would you fill in the Venn diagram?First, write in the region where the circles overlap.Then, to find the probability that a person uses cream but not sugar, and to find the probability that a person uses sugar but not cream.Subtract all three of these probabilities from 1 to find the probability that a person uses neither cream nor sugar, which equals . (Table: Calculating GDP) According to the information presented in Table: Calculating GDP, what is GDP? Rent $4,800 $15,800 Consumption spending Social Security benefit $12,200 Investment spending $4,200 Wages and salaries $13,000 Exports $1,600 Interest $3,800 Government purchases of goods and services $5,200 Profits $2,800 Imports $2,400 Purchase of stocks $12,600 Unemployment compensation $7.900 Payroll taxes $5,930 Sales taxes $1,600. multiple choice a) $89,330 b)$95,830 c)$24.400 d)$30.600 n response to hypoxia, k channels are opened. a. false b. true Choose the best answer.A gift box is in the shape of a pentagonalprism. How many faces, edges, andvertices does the box have?A 6 faces, 10 edges, 6 verticesB 7 faces, 12 edges, 10 verticesC 7 faces, 15 edges, 10 verticesD.8 faces, 18 edges, 12 vertices an organ pipe is 80.0 cm long and is open at one end and closed at the other. the frequency of the third mode is 200 hz higher than the frequency of the second mode. what is the speed of sound? A and B are two cylinders that are mathematically similar.The area of the cross-sectionof cylinder A is 18 cm.Work out the volume of cylinder B.Optional working+18 cmAAnsw cm5 cmB10 cm what are the five phases of general anesthesia in the correct sequence? It takes 2/3h to pick all the apples on one tree atSpringwater Farms. There are 24 trees. How long will it take to pick all the apples?Show your work The sum of two integers is 11 and their difference is 19. What are the two numbers Hypothesis: Prey Attraction Hypothesis: The sparklemuffin performs these dances in order to lure prey within range of capture.1. What is the level of analysis of this hypothesis (PD, PC, UH, UF)?2. What is one alternative hypothesis to this hypothesis (include an informative 1-3 word name for your alternative as well as a more detailed statement of the hypothesis)? How fast must you be approaching a red traffic light ( = 675 nm) for it to appear yellow ( = 575 nm)? Express your answer in terms of the speed of light.u = 0.159 cIf you used this as a reason not to get a ticket for running a red light, how much of a fine would you get for speeding? Assume that the fine is $ 1.60 for each kilometer per hour that your speed exceeds the posted limit of 90 km/h. true or false: efficiency wages are higher-than-average wages that are intended to attract better-qualified workers. true false