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Christine went shopping and bought each of her ten nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $164.94 on the
gifts. How many videos and how many CDs did she buy

Answers

Answer 1

Answer:

She bought 2 videos and 8 CDs.


Related Questions

Two rectangles are similar. One has a length of 12 cm and a width of 9 cm, and
the other has a width of 8 cm. Find the length of the second rectangle. Round to
the nearest tenth if necessary.
A 12.3 cm
B 6 cm
C 10.7 cm
D 8 cm

Answers

Answer:

10.7

Step-by-step explanation:

Let x be the missing side.

The rectangles are similar. Wich means:

● 8/9 = x/12

Cross multiply

● 9x = 8×12

● 9x = 96

Divide both sides by 9

● 9x/9 = 96/9

● x = 10.666

Round it to the nearest unit

● x = 10.7

Drag a vertex of the triangle to change its shape.
Double-click or double-tap a vertex or side to prevent it from
changing.
Problem: Construct a triangle with interior angle
measures of 60° and 75°.
What is the measure of the third angle?
O 30°
2C = 41°
O 45°
48°
9.2
10
50°
ZA = 49°
6.0 ZB = 90°

Answers

Answer:

The correct option is;

45°

Step-by-step explanation:

By angle sum theorem, we have that the sum of angles in a triangle = 180°

Therefore, we have;

When the interior angles of the triangle are constructed to be 60° and 75°, we have by the angle sum theorem;

The third angle + 60° + 75° = 180°

Which gives;

The third angle  = 180°- 60° - 75° = 180°- 135° = 45°

The measurement of the third angle by the angle sum theorem will be 45°

The correct option is ∠third angle = 45°.

3) Find f(3) for the function below.
f(x) = 2x² – 3x

Answers

Answer:

9

Step-by-step explanation:

f(x) = 2x² – 3x

Let x=3

f(3) = 2 * 3^2 - 3*3

     = 2 *9 - 9

     = 18-9

      = 9

Answer:

f(3) = 9

Step-by-step explanation:

[tex]f(x) = 2x^2 -3x\\ f(3) = ?\\\\ f(3) = 2(3)^2 -3(3)\\ f(3) = 2(9) - 9\\ f(3) = 18- 9\\ f(3) = 9[/tex]

Simplify this expression:
4(1 - 3x) + 7 x - 8

Answers

4(1-3x) + 7x -8

Use distributive property:

4 -12x + 7x -8

Now combine like terms:

-5x -4

Answer:

[tex]-5x-4[/tex]

Step-by-step explanation:

With the expression [tex]4(1-3x) + 7x - 8[/tex], we can simplify it down by applying the distributive property, then combining like terms.

[tex]4(1-3x)+7x-8\\\\4-12x+7x-8\\\\4-5x-8\\\\-5x-4[/tex]

Hope this helped!

IT IS FOR NOW IM GIVING BRAINLIEST HRRY UP AND 10 POINTS Simplify the expression. What classification describes the resulting polynomial? (8x2 + 3x) − (12x2 − 1) A. linear binomial B. quadratic binomial C. quadratic trinomial D. linear monomial

Answers

Answer:

The equation would be a quadratic trinomial

Step-by-step explanation:

Step 1: Expand the equation to remove the brackets

0 = 8x² + 3x - 12x² + 1

Step 2: Collect like terms

0 = -4x² + 3x + 1

Step 3: Count number of terms

0 = -4x² + 3x + 1

1 2 3

Therefore there are 3 terms and this is a quadratic equation making the answer B, a quadratic trinomial

A man lends 12,500 at 12% for the first
year, at 15% for the second year and at 18%
for the third year. If the rates of interest are
compounded yearly; find the difference
between the C.I. of the first year and the
compound interest for the third year.​

Answers

Answer: $1398

Step-by-step explanation:

Given , Principal (P) =  $12,500

Rate of interest for 1st year [tex](R_1)[/tex]=  12% =0.12

Rate of interest for 2nd year [tex](R_2)[/tex]=  15% =0.15

Rate of interest for 3rd year [tex](R_3)[/tex]=  18% =0.18

Interest for first year = [tex]I=P\times R_1\times T[/tex]

= [tex]12500\times 0.12\times 1[/tex]

= $1500

Now, For second year new principal [tex]P_2 = \$12,500+\$1,500 =\$14,000[/tex]

Interest for second year = [tex]I=P_2\times R_2\times T[/tex]

= [tex]14000\times 0.15\times 1[/tex]

= $2100

Now, For third year new principal [tex]P_3 = \$14000+\$2,100 =\$16,100[/tex]

Interest for third year = [tex]I=P_3\times R_3\times T[/tex]

= [tex]16100\times 0.18\times 1[/tex]

= $2898

Difference  between the compound interest of the first year and the  compound interest for the third year. = $2898 - $1500 = $1398

Hence, the difference  between the compound interest of the first year and the  compound interest for the third year is $1398 .

This rectangle has side lengths r and s.
For each expression, say whether it gives the perimeter of the rectangle, the area of the
rectangle, or neither.
1. rts
2. r.s
3. 2r + 2s
4.72 +82

Answers

Answer:

1.) Neither

2.) Area

3.) Perimeter

4.) Neither

Step-by-step explanation:

Given that the lengths of the rectangle are r and s

The perimeter of the rectangle will be:

Perimeter = 2r + 2s

Perimeter = 2(r+s)

While the area will be:

Area = r × s

Area = rs

For each expression, say whether it gives the perimeter of the rectangle, the area of the

rectangle, or neither.

1. rts = neither

2. r.s = Area of rectangle

3. 2r + 2s = Perimeter of rectangle

4.72 +82 = neither.

Find the value of tetha in 2 cos 3 tetha = 1

Answers

Answer:

Step-by-step explanation: 2cos3 theta=1. Cos 3theta=1/2. Since cos 60°= 1/2. Therefore cos 3theta=cos 60°. Theta=20°.

can we chat girl in comment

2(cos 3theta) = 1
Cos 3theta = 1/2 = cos(60)
Theta = 60/3 = 20

30 points and brainliest for the right answer :) I would like to know how to do this, so an explanation would be nice :P Thanks for the help!

Answers

Answer:

Below

Step-by-step explanation:

● (a)

Let's determine the difference between the outputs of any two inputs that are one unit apart.

Let m be that difference.

2 and 3 are one unit apart since when you substract 2 from 3 you get 1.

● 3-2 = 1

Let's calculate m.

The output of 2 and 3 are respectively 45 and 53.

● m = 53 - 45

● m= 8

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's determine the difference between the outputs of any two inputs that are 2 units apart.

Let m' be that difference

3 and 1 are 2 units apart since when you substract 1 from 3 you get 2.

● 3-1 = 2

The outputs of 1 and 3 are respectively 37 and 53.

● m'= 53-37

● m' = 16

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's determine the difference between the outputs of two inputs that are 3 units apart.

Let m" be that difference

0 and 3 are 3 units apart since when you substract 0 from 3 you get 3.

● 3-0 = 3

Let's calculate m":

The outputs of 0 and 3 are respectively 29 and 53

● m" = 53-29

● m" = 24

■■■■■■■■■■■■■■■■■■■■■■■■■■

● m = 8

● m'= 16

● m" = 24

Notice that all these values are multiples of 8.

● 8 = 8×1

● 16 = 8×2

● 24 = 8×3

Notice that each time the difference m is multiplied by the units that are between the inputs.

This is explained by the fact that the function is a linear one.

When the input interval grows the difference between the outputs grows two.

Answer:

Step-by-step explanation:

find the equation of the linear function   in the form of y=mx+b

m=y2-y1/x2-x1 =-3+11/-4+5=8

y=8x+29 ( when x=0, y=b=29)

out put  : -3 and -11 -3-(-11)=8 which is 1 unit

out put : 21 and 5 21-5=16   which is 2 unit (2*8)

output :53 and 29 53-29=24 which is 3 units (3*8)

ratio of change = f(b)-(f(a)/b-a

at point -3 and -11 : f(-3)-f(-11)/-4+5=-3+11/1=8

at point 21 and 5 : 21-5/-1+3=16/2=8

the graph always increasing and always equal 8

Escreva expressões algébricas mais simples e equivalentes às expressões abaixo.

Answers

Answer:

Step-by-step explanation:

(4a+8)/2 = 4a/2  + 8/2 = 2a + 4(5x + 6x + 22)/11 = (11x+22)/11 = 11x/11 + 22/11 = x + 2{6(x+2)-12}/3 = {6x+12 - 12}/3 = 6x/3 = 2x(

the fastest land dwelling creature is the cheetah. fact or
opinion


Answers

Answer:

True.

Step-by-step explanation:

Cheetahs can reach speeds of 109.4–120.7 km/h (68.0–75.0 mph), and some have been recorded at over 80mph. The cheetah can accelerate from 0 to 96.6 km/h (60.0 mph) in under three seconds, though endurance is limited.

The second fastest land animal is the Pronghorn antelope at 98kph (60mph).

Answer:

It is a Fact because it can run 70mph or 112kph

solution for x+4 is equal to 10​

Answers

The answer is x=6. This is because 6+4 equals 10

Answer:

x = 6

Step-by-step explanation:

x + 4 = 10

x = 10 - 4

x = 6

hope it helps

What is the quotient ? -4 /5 divide 2 A . - 1 3/5 B . -2 /5 c. 1/2 D . 1 3/ 5

Answers

Answer:

[tex] \boxed{ - \frac{2}{5} }[/tex]

Option B is the correct option.

Step-by-step explanation:

[tex] \mathrm{ - \frac{4}{5} \div 2}[/tex]

[tex] \mathrm{dividing \: a \: negative \: and \: a \: positive \: equals \: a \: negative \:. \: ( - ) \div ( + ) = ( - )}[/tex]

[tex] \mathrm{ - \frac{4}{5} \div 2}[/tex]

[tex] \mathrm{dividing \: is \: equivalent \: to \: multiplying \: with \: the \: reciprocal}[/tex]

[tex] \mathrm{ - \frac{4}{5} \times \frac{1}{2} }[/tex]

[tex] \mathrm{reduce \: the \: numbers \: with \: G.C.F \: 2}[/tex]

[tex] \mathrm{ - \frac{2}{5} }[/tex]

Hope I helped!

Best regards!

The quotient of  -4 /5 divide 2 would be equal to -2/5 in simplified form.

What are the Quotients?

Quotients are the number that is obtained by dividing one number by another number. We can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.

We have been given that  -4 /5 divide 2

Thus, we have to divide the terms as;

-4 /5   ÷ 2

Therefore,  -4 /5 x 1/ 2

-2/5

Hence, the quotient of  -4 /5 divide 2 would be equal to -2/5 in simplified form.

Learn more about the quotient;

brainly.com/question/26913992

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What is the slope of the line that passes through the points (-10, 8) and
(-15, – 7)? Write your answer in simplest form.

Answers

Answer:

[tex]slope=3[/tex]

Step-by-step explanation:

Use the following equation the find the slope:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}[/tex]

Rise over run is the change in the y-axis over the change in the x-axis from one point to the other. This is also known as the "slope". Insert the known values:

[tex](-10_{x1},8_{y1})\\\\(-15_{x2},-7_{y2})\\\\\\\frac{-7-8}{-15-(-10)}\\\\\frac{-7-8}{-15+10}[/tex]

Solve:

[tex]\frac{-7-8}{-15+10}=\frac{-15}{-5}[/tex]

Simplify. Two negatives make a positive:

[tex]\frac{-15}{-5}=\frac{15}{5}[/tex]

Simplify fraction by dividing top and bottom by 5:

[tex]\frac{15}{5}=\frac{3}{1} =3[/tex]

The slope is 3.

:Done

The slope of the line that passes through the points (-10, 8) and  (-15, -7) is 3 and thsi can be determined by using the point-slope formula.

Given :

The line that passes through the points (-10, 8) and  (-15, -7).

The following steps can be used in order to determine the slope of the line that passes through the points (-10, 8) and  (-15, -7):

Step 1 - The slope formula when two points are given is:

[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope and [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.

Step 2 - Substitute the known terms in the above formula.

[tex]\rm m = \dfrac{-7-8}{-15+10}[/tex]

Step 3 - Simplify the above expression.

[tex]\rm m = \dfrac{15}{5}[/tex]

m = 3

For more information, refer to the link given below:

https://brainly.com/question/2514839

Allie, Ben, and Cliff plant ceilings in the neighborhood park. Ali plans 40% of the total number of ceiling, then place 45% of the total number of seed wings, and Cliff plans the rest of the siblings. If Cliff +84 siblings how many seedling do the three boys play together

Answers

Answer:

The number of seedlings the three boys planted together is 560 seedlings

Step-by-step explanation:

The possible information in the question are;

Percentage of the seedlings planted by Ali = 40%

Percentage of the seedling planted by Ben = 45%

The percentage of the seedling planted by Cliff = The rest of the seedling

The number of seedling planted by Cliff = 84 siblings

Therefore, the percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%

Given that Cliff planted 15% of the seedlings, we have;

15% of seedlings Cliff planted = 84

Let X = the total number of seedlings

15/100 × X = 0.15×X = 84

X = 84/0.15 = 560

The total number of seedlings = The number of seedlings the three boys planted together = 560 seedlings.

The volume of a sphere whose diameter is 18 centimeters is
π cubic centimeters. If its diameter were reduced by half, its volume would be
of its original volume.

Answers

Answer:

volume before reducing is 8 times the volume after reducing

Step-by-step explanation:

volume before reducing=

V=4/3πr³=

V=4/3π(9)³=972π cm³

diameter reduced to half=18/2=9 cm

radius=d/2=9/2=4.5 cm

volume of sphere when diameter reduced by 1/2=

V=4/3πr³

v=4/3 (π)(4.5)³=121.5π

volume before reducing is 8 times the volume after reducing

Answer:

The volume of a sphere whose diameter is 18 centimeters is 972  π cubic centimeters. If its diameter were reduced by half, its volume would be 1/8  of its original volume.

Step-by-step explanation:

Correct for plato :)

PLEASE HELP!!!
Which expression shows a way to find the area of the following rectangle?

Answers

Answer:

B

Step-by-step explanation:

This rectangle appears to have 7 boxes on the bottom, and 3 box for the side.

Since area is base×height

It would be 7×3

B- 7x3 to find the area you do l•w the pic shows 6x2 but u can see there’s room for another square

On a cold February morning, the temperature of the radiator fluid in Stanley’s car is . When the engine is running, the temperature of the fluid goes up per minute. Approximately how long will it take before the radiator fluid temperature reaches ?

Answers

Answer:

18.18 min

Step-by-step explanation:

The complete question is

On a cold February morning, the radiator fluid in Stanley’s car is -18F. When the engine is running, the temperature goes up 5.4 F per minute. Approximately how long will it take before the radiator fluid temperature reaches 80 F?

The initial temperature of the engine [tex]T_{1}[/tex] = -18 F

rate of increase in temperature r = 5.4 F/min

Final temperature [tex]T_{2}[/tex]  = 80 F

Difference in temperature ΔT = [tex]T_{1} -T_{2}[/tex] = 80 - (-18) = 98 F

time taken to reach this 80 F will be = ΔT/r

where ΔT is the difference in temperature

r is the rate of change of temperature

time taken = 98/5.4 = 18.18 min

10 points please help​

Answers

Answer:

[tex]\frac{14}{55}[/tex]

Step-by-step explanation:

note that

n! = n(n - 1)(n - 2) .... × 3 × 2 × 1

Given

[tex]\frac{8!9!}{5!12!}[/tex]

Cancel the terms from 8! ( 5 × 4 × 3 × 2 × 1 ) with the same terms from

5! ( 5 × 4 × 3 × 2 × 1 ) leaving

8 × 7 × 6 = 336 on the numerator

Similarly

Cancel the terms from 9! and 12!

leaving 12 × 11 × 10 = 1320 on the denominator, thus simplifies to

[tex]\frac{336}{1320}[/tex]

= [tex]\frac{14}{55}[/tex]

Please answer ASAP. The question is down below

Answers

Answer:  A

Step-by-step explanation:

Notes: Dividing by a fraction means to multiply by its reciprocal.

           The denominator cannot equal zero.

[tex]\dfrac{5a^3bc}{8ab^3}\div\dfrac{-ab^2}{6a^5b}\cdot \dfrac{2a^2b^3}{3b}\qquad \rightarrow a\neq 0,b\neq 0\\\\\\=\dfrac{5a^3bc}{8ab^3}\cdot\dfrac{6a^5b}{-ab^2}\cdot \dfrac{2a^2b^3}{3b}\\\\\\=\dfrac{5\cdot 6\cdot 2\quad a^3\cdot a^5\cdot a^2\quad b\cdot b\cdot b^3\quad c}{8\cdot -1 \cdot 3\quad a\cdot a\qquad b^3\cdot b^2\cdot b \quad}\\\\\\=\dfrac{-60a^{10}b^5c}{-24a^2b^6}\\\\\\=\dfrac{-5a^8c}{2b}[/tex]

what is the value of 14 - a² given a = -3? A. 23 B. 11 C. 8 D. 5

Answers

Answer:

The answer is D. 5

Step-by-step explanation:

14-(-3)^2=

14-9=5

The value of f(a) = 14 - [tex]a^{2}[/tex] at x = -3 is 5.

We have the following function of [tex]a[/tex] -

f(a) = 14 - [tex]a^{2}[/tex]

We have to determine the value of this function at a = -3.

What is the value of f(x) = 2x - 3 at x = 3?\

The value of f(x) = 2x - 3  at x = 3 can be calculated as follows -

f(3) = 2 x 3 - 3 = 6 - 3 = 3

According to the question -

f(a) = 14 - [tex]a^{2}[/tex]

Now, the value of the function f(a) can be calculated as follows -

f(- 3) = 14 - [tex](-3)^{2}[/tex]

f(- 3) = 14 - 9

f(- 3) = 5

Hence, the value of f(a) = 14 - [tex]a^{2}[/tex] at x = -3 is 5.

To solve more questions on evaluating expressions, visit the link below -

https://brainly.com/question/14127320?referrer=searchResults

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How to do this question plz answer me step by step plzz plz ​

Answers

Answer:

£13496.80

Step-by-step explanation:

We can ignore the £ sign for now, that is just units.

If we decrease a number by 4.5%, we will have to find [tex]100-4.5=95.5[/tex]% of 14132.77.

We can easily do this by setting up a proportion.

[tex]\frac{x}{14132.77} = \frac{95.5}{100}[/tex]

Multiply 14132.77 by 95.5:

[tex]14132.77\cdot95.5=1349679.535[/tex]

Divide by 100:

[tex]1349679.535\div100=13496.79535[/tex]

Rounding this to two decimal places, it simplifies to 13496.80.

Hope this helped!

What is the slope of the line that cuts through the points (1, 2) and (5, 4)?

Answers

Answer:

[tex]slope=\frac{1}{2}[/tex]

Step-by-step explanation:

Use the following equation:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]

Rise over run is the change in the y-axis over the change of the x-axis, otherwise known as the slope.

Insert the values:

[tex](1_{x1},2_{y1})\\(5_{x2},4_{y2})[/tex]

[tex]\frac{4-2}{5-1}=\frac{2}{4} =\frac{1}{2}[/tex]

The slope is [tex]\frac{1}{2}[/tex].

:Done

Answer:

1/2

Step-by-step explanation:

The formula for slope is: y1-y2/x1-x2

The points given are: (x-coordinate, y-coordinate)

In the formula:

y1 is the y-coordinate of the first point

y2 is the y-coordinate of the second point

x1 is the x-coordinate of the first point

x2 is the x-coordinate of the second point

This said, we can plug our points in.

2-4/1-5

Subtract.

-2/-4

Simplify.

-1/-2

The negatives will cancel each other out.

1/2

The slope of the line that cuts through the points (1,2) and (5,4) is 1/2.

Plz help Solve: y-17= -37

Answers

Answer:

-20

Step-by-step explanation:

First thing you do is set up your equation:

y-17= -37

+17   +17        Next you add 17 to both sides

-------------        Follow your integer rules

y= -20

We can check this by putting it back into the solution

-20-17= -37  Integer Rules

                     You use KCC aka Keep Change Change

= -20+ -17= -37

The answer would be -20

Solve D = ABC for C.

Answers

Answer:C=d/ab

Step-by-step explanation:

D=abc

D/ab=abc/ab (both side divided by ab)

Ab cancel by ab and c= d/ab remains

The solution of the given equation D = ABC for C will be D/(AB).

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

The equation must be constrained with some constraints.

As per the given equation,

D = ABC

The value of the above equation for C will be as,

D = (AB)C

C = D/(AB)

Hence "The solution of the given equation D = ABC for C will be D/(AB)".

For more about the equation,

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What is the standard form of function f ?

Answers

Answer:

f(x) = 4x² + 48x + 149

Step-by-step explanation:

f(x) = 4(x + 6)² + 5

The above expression can be written as: f(x) = ax² + bx + c, by doing the following:

1. Expand (x + 6)²

(x + 6)² = (x + 6)(x + 6)

(x + 6)(x + 6)

x(x + 6) + 6(x +6)

x² + 6x + 6x + 36

x² + 12x + 36

(x + 6)² = x² + 12x + 36

2. Substitute x² + 12x + 36 for (x + 6)² in

f(x) = 4(x + 6)² + 5

This is illustrated below:

f(x) = 4(x + 6)² + 5

(x + 6)² = x² + 12x + 36

f(x) = 4(x² + 12x + 36) + 5

Clear bracket

f(x) = 4x² + 48x + 144 + 5

f(x) = 4x² + 48x + 149

Therefore, the standard of the function:

f(x) = 4(x + 6)² + 5

is

f(x) = 4x² + 48x + 149

1. Which of the following is a true statement?
?
a. To square a number, multiply the number
by 2.
b. The inverse of squaring a number is to
divide the number by 2.
c. To square a number, multiply the number
by itself.
d. A perfect square is a number who's
square root is an even number.

Answers

Answer:

C

Step-by-step explanation:

Definitely not a! To square a number you multiply it by itself. for example, if you were squaring 3, you would do 3x3.

Not b either! You will have to take the SQUARE ROOT of the number!

C is the right answer, as I said for a.

D is wrong! The perfect square 49 has a sqrt (square root) of 7. That is NOT even, so d cannot be true.

C is the only true statement. Also, if this is right, can I get branliest answer? Thx :)

If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation?

Answers

Answer:

f(x) = 3x - 14

Step-by-step explanation:

note that y = f(x), thus rearrange the equation making y the subject.

Given

y - 3x = - 14 ( add 3x to both sides )

y = 3x - 14 , that is

f(x) = 3x - 14 ← in functional notation

The sums of which two pairs from the table will give you the same result? For example, A + B = C + D.

Answers

Answer:

D + E = F + H

Step-by-step explanation:

We have to identify the two pairs from the give table which have the same result.

These pairs show the relation as A + B = C + D

We take a pair of expressions given in options (D) and (E)

By adding them,

D + E = (-4 + 9i) + (6 - 6i)

         = 2 + 3i

Similarly we add the expressions given in options (F) and (H),

F + H = (-9 + 15i) + (11 - 12i)

         = 2 + 3i

Therefore, D + E = F + H will be the answer.

PLEASE HELP ME FAST...​

Answers

Answer:

Sequence a) Pattern: (-2) -9, -11, -13, -15, -17

Sequence b) Pattern: (-5) -15, -20, -25, -30, -35

Sequence c) Pattern: (-6) -13, -19, -25, -31, -37

Hope this helps!

Hi there! Hopefully this helps!

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

A (Subtracting by 2): -9, -11, -13, -15, -17.

B(Subtracting by 5): -15, -20, 25, -30, -35

C(Subtracting by 6): -13, -19, -25, -31, -37

Other Questions
Why does the prime meridian pass through Greenwhich, England? Given a number N, write a code to print all psoitive numbers less than N in which all adjacent digits differ by 1 Selling, general, and administrative expenses were $160,600; net sales were $730,000; interest expense was $17,500; research and development expenses were $76,650; net cash provided by operating activities was $193,800; income tax expense was $16,360; cost of goods sold was $401,500. Required: a. Calculate operating income for the period. Please help with the excercise Which of the following statements about sets of numbers is true? (1 point)All integers are whole numbers.O All irrational numbers are integers.O All rational numbers are natural numbers.O All integers are rational numbers. A project requires an investment of $10 million and offers an annual after-tax cash flow of $1,250,000 indefinitely. If the firm's WACC is 12.5% and the project is riskier than the firm's average projects, should it be accepted? 1.) Given 30 grams of CO2, how many moles of CO2 would you have? How many individual molecules of CO2 is that?2., Given 22 Grams of NaCl, How many moles of Nacl would you have? How many individual molecules of NaCl is that?3.) Given 50 grams of ammonia NH3, How many moles of NH3 would you have? How many Molecules of NH3 is that? Can you get hiv from animals such as cows and chickens ? A public radio station with a June 30 year end collects $100,000 in annual membership dues every January 1. Paying membership dues provides few direct benefits, which are not restricted to members. On January 1, the radio station should record the $100,000 as ______. Script, Inc., has two product lines. The September income statements of each product line and the company are as follows: SCRIPT, INC. Product Line and Company Income Statements For Month of September Pens Pencils Total Sales $30,000 $30,000 $60,000 Less variable expenses (12,000) (12,000) (24,000) Contribution margin 18,000 18,000 36,000 Less direct fixed expenses (9,000) (7,000) (16,000) Product margin $9,000 $11,000 20,000 Less common fixed expenses (6,000) Net income $14,000Pens and pencils are sold in two territories, Florida and Alabama, as follows: Florida AlabamaPen sales $18,000 $12,000Pencil sales 9,000 21,000Total sales $27,000 $33,000The common fixed expenses are traceable to each territory as follows:Florida fixed expenses $2,000Alabama fixed expenses 3,000Home office administration fixed expenses 1,000Total common fixed expenses $6,000The direct fixed expenses of pens, $9,000, and of pencils, $7,000, cannot be identified with either territory. The company's accountants were unable to allocate any of the common fixed expenses to the various segments.Required:Prepare income statements segmented by territory for September. Simon Companys year-end balance sheets follow.At December 31 2017 2016 2015Assets Cash $26,403 $29,364 $29,991 Accounts receivable, net 73,552 52,436 40,392 Merchandise inventory 96,214 70,676 43,017 Prepaid expenses 8,255 7,944 3,467 Plant assets, net 230,047 214,124 189,133 Total assets $434,471 $374,544 $306,000 Liabilities and Equity Accounts payable $107,101 $64,564 $40,392 Long-term notes payable secured bymortgages on plant assets 82,497 84,422 66,273 Common stock, $10 par value 162,500 162,500 162,500 Retained earnings 82,373 63,058 36,835 Total liabilities and equity $434,471 $374,544 $306,000 Required:a. Compute the current ratio for the year ended 2017, 2016, and 2015. b. Compute the acid-test ratio for the year ended 2017, 2016, and 2015. In the following sentence, what does the word disheveled mean? The bumpy bus ride left Robins hair disheveled. expand (x-4)^4 with binomial theorem or pascal's triangle Break-Even Sales and Sales to Realize Income from OperationsFor the current year ended October 31, Friedman Company expects fixed costs of $14,300,000, a unit variable cost of $250, and a unit selling price of $380.a. Compute the anticipated break-even sales (units).unitsb. Compute the sales (units) required to realize income from operations of $2,405,000.units Is the sequence {81, 27, 9, 3, 1, } arithmetic or geometric? Marta se va de paseo y se despide con un beso de su madre, cul sera el canal y el cdigo? Ayuda porfa The table describes how some substances were formed.SubstanceP.QDescriptionFormed by boiling pure waterFormed by combining three hydrogen atoms to every nitrogen atomFormed by adding 5 g of sugar to 1 L of waterFormed by compressing carbon under high pressureRSBased on the given descriptions, which substance is most likely a mixture?PQRS Customers can build their own computers with Dell's online configurator. They simply have to answer a few questions and choose from a menu of product attributes, prices, and delivery options. The design of a Dell customized computer is made possible through the use of a Who is the narrator of the story? Who is the "you" that the narrator is addressing? In Once in a Lifetime 3. What are the first steps that you should take if you are unable to get onto the Internet? (1 point)O Check your router connections then restart your router.O Plug the CPU to a power source and reboot the computer.O Adjust the display properties and check the resolution.Use the Control Panel to adjust the router settings.