12.simplify the following expression
21q + 5/2(3/2) + 4q -5

Answer:

  $19,201.09

Step-by-step explanation:

The future value of the annuity due can be found using any of a number of apps, calculators, or spreadsheets. It can also be found using the formula ...

  A = P(1 +r)((1 +r)^n -1)/r

where P is the annual payment, r is the annual interest rate, and compounding is yearly for n years.

  A = 2535(1.1418)(1.1418^5 -1)/0.1418 ≈ 19,201.09

The value will be $19,201.09.

The correct answer is; No, because the 2 x 10 boards can support neither the width nor length of the room.

We are given;

Load requirement = 60 psf

Joist Spacing = 16 inches

Length of room; 13 feet 2 inches

Width of room; 11 feet 7 inches.

Since we want to consider whether 2 by 10 boards are appropriate, this  length of  2 by 10 will not be appropriate because it cannot cover up for a room with dimensions of 13 feet 2 inches and 11 feet 7 inches.

Thus, we can conclude that No, because the 2 x 10 boards can support neither the width nor length of the room.

The missing options are;

A. Yes, because 2 x 10 boards can support the width and length of the room

B. Yes, because 2 x 10 boards support the 70 psf

C. No, because 2 x 10 boards can support only the width of the room

D. No, because the 2 x 10 boards can support neither the width nor length of the room

Read more about dimensions at; https://brainly.com/question/21597205

#SPJ1

The conditional proposition for the given sentence is:

"For all real numbers a, b, and c, if a = b, then a−c=b−c."

A conditional statement is of the form:

If P, then Q.

Where P and Q are two propositions.

The sentence is:

"For all real numbers a, b, and c, a = b implies that a−c=b−c."

So the propositions are:

P = "a = b"

Q = " a - c = b - c"

Where we need to define that this works for all real numbers.

So the conditional proposition is:

"For all real numbers a, b, and c, if a = b, then a−c=b−c."

So the correct option is C.

If you want to learn more about conditional propositions:

https://brainly.com/question/11073037

#SPJ1

Step-by-step explanation:

According to PEMDAS parentheses are first.

2(6+1) can be simplified to 12+2.

5(3+2) can be simplified to 15+10

Add these two together.

12+2+15+10

14+15+10

29+10

y=39

Note - when you have something like this in math 2(6+1) it means you need to do 2 x 6 and 2 x 1

The number of years it will take for the money to be $2900 is 40.91 years

Using simple interest formula,

I = prt / 100

we are looking for t

where

Therefore,

I = 2900 - 1100 = 1800

1800 = 1100 × 4 × t / 100

cross multiply

180000 = 4400t

t = 180000 / 4400

t = 40.9090909091

t = 40.91 years

learn more on interest here: https://brainly.com/question/7930503

#SPJ1

The diameter [tex]d = 2r[/tex], where [tex]r[/tex] is the radius. Thus, [tex]d = 2 \times r = 2 \times 5 = 10cm[/tex]

Answer:

205 units

Step-by-step explanation:

The distance formula is D = √(x2-x1)^2 + (y2-y1)^2

Lets say -1 is x1 ; -4 is y1; -201 is x2 ; and -49 is y2

we just need to plug it into the formula and solve now

√ (-201 - -1)^2 + (-49 - -4)

√-200^2 + -45^2

√40000 + 2025

√42025 = 205

The distance between the two points is 205 units.

All the samples are given as {R&R, R&G, R&B, G&R, G&G, G&B, B&R, B&G, B&B}.

A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.

Reese, Greg, and Brad meet once a week for coffee.

They each have their favorite café and, to be fair, they use randomization to choose where they will meet.

Each person has a colored marble: red (R) for Reese, green (G) for Greg, and blue (B) for Brad.

Each week, all three marbles are mixed well in a bag and a marble is selected.

The favorite café of the person associated with the selected marble is selected for that week's meeting.

Then the total number of the outcomes will be

Total outcomes = 3 × 3

Total outcomes = 9

All the samples are given below.

{R&R, R&G, R&B, G&R, G&G, G&B, B&R, B&G, B&B}

More about the sample link is given below.

https://brainly.com/question/350477

#SPJ1

Based on what we know a function to be today, Euler mean an analytic expression "an expression formed from operations such as addition, multiplication, powers, and roots"

According to Euler, a function of a variable quantity is an analytic expression composed in any way whatsoever of the variable quantity and numbers or constant quantities.”

The function is. combination of expression which includes variables and constants using various operations such as roots, power and multiplication.

Learn more about function:

https://brainly.com/question/4025726

#SPJ1

Step-by-step explanation:

let p be the point which is at a distance of 4 units from the x-axis and at a distance of 5 units from the y axis

(i) When P lies in the first quadrant then the coordinates of P are (5,4).

(ii) When of P lies in the second quadrant then the coordinates of P are (-5,4).

(iii) When P lies in the third quadrant then the coordinates of P are (-5,-4).

(iv) When P lies in the fourth quadrant then the coordinates of P are (5,-4).

Known as periodic reports, interim reports or interim statements, these updates provide important company information between annual reporting periods. To help protect investors and keep the public informed, regulations typically require public companies to submit company performance reports more than once a year.Known as periodic reports, interim reports or interim statements, these updates provide important company information between annual reporting periods. To help protect investors and keep the public informed, regulations typically require public companies to submit company performance reports more than once a year.

Answer:

The answer is c

Step-by-step explanation:

one add the numbers 108 & 96=204

then add the numbers from c which is 30+30=60 43+43=86 29+29=58

then add 60+86+58 which will be 204 so c is the answer your welcome

come

Answer:

[tex]find the functions whose derivative is 0[/tex]

Step-by-step explanation:

We know that the area of an equilateral triangle of side a cm is

Let a cm here be 9√3 then we could get our solution.

[tex] \rm\implies \rm 9 \sqrt{3} = \cfrac{ \sqrt{3} }{4} \: a {}^{2} [/tex]

[tex] \implies \rm \: \cfrac{ \sqrt{3} }{4} {a}^{2} = 9 \sqrt{3} [/tex]

[tex] \implies \rm \: a {}^{2} = 36[/tex]

[tex] \implies \rm \: a = \sqrt{36} = \sqrt{6 \times 6} [/tex]

[tex] \implies \rm \: a = 6 \: cm[/tex]

Thus, the side of the equilateral triangle is 6 cm.

Answer:

living beyond your means.

Step-by-step explanation:

Pay for what you need and don't go into debt.

Answer + Step-by-step explanation:

The effect of the “-“ when y = (x+3) is changed to y = -(x+3) is creating a negative slope and y-intercept,

y = -(x+3) distributed is y = -x - 3

Visual representation:

The red line: y = (x+3)

The blue line: y = -(x+3)

Answer: Both plans cost the same when 50 texts are sent.

Step-by-step explanation:

When x=50 (meaning 50 texts are sent), the y coordinate (which represents the cost) is the same.

There are 720 different ways the campaign staff can arrange her travel route

The given parameter is:

Cities = 6

The candidate cannot be at all 6 cities at the same time.

This means that we make use of factorial.

So, we  have:

Ways = 6!

Evaluate the factorial expression

Ways = 720

Hence, there are 720 different ways the campaign staff can arrange her travel route

Read more about factorials at:

https://brainly.com/question/11732255

#SPJ1

Answer:

see the attachment photo!

Answer:

x = -12

y = 10

(x, y) = (-12, 10)

Step-by-step explanation:

Step-by-step explanation:

So, let the N=10a+b

N=10a+b,P(N)=ab,S(N)=a+b

10a+b=ab+a+b

9a-ab=0

a(9-b)=0

a=0 and 9-b=0, b=9. the number is 9. but 9 is not two-digit number. So there is no N which satisfied previous conditions.

The equation that is equivalent to S=pi r^2 h is h = S/pir^2

This is a way of representing a variable with another. Given the equation

S=pi r^2 h

We are to make 'h" the subject of the formula.

Divide both sides by pir^2

S/pir^2 =pi r^2 h/pir^2

h = S/pir^2

Hence the equation that is equivalent to S=pi r^2 h is h = S/pir^2

Learn more on subject of formula here: https://brainly.com/question/657646

#SPJ1

Answer:

A

Step-by-step explanation:

the answer is A because I said its C :)

The volume of the slice is 40 in³. The volume of the remaining cake is 197.014 in³.

A regular hexagon is defined as a closed shape consisting of six equal sides and six equal angles.

Here we have two regular hexagons

one top small hexagon cake with side length = 3 in, height = 3 in

One big hexagon cake, side length = 4 in, Height = 4 in

A slice cut such that it removes a side segment is equivalent to an equilateral triangle with side length = length of hexagon side

Also, all angles within the equilateral triangle are 60° each

Therefore, the length of the side of the removed equilateral triangle side

Top small cake slice triangle side = 3 in.

Area of surface of small slice = 1/2 x b x h = 1/2 x 3 x 3 x sin 60

                                                 = 9√3/ 4

The volume of a small slice  

=  Area of surface small slice × Height of small cake

= 9√3/ 4  x 3

= 11. 69

Big cake slice triangle side = 4 in.

Area of the surface of big slice = 1/2 x 4 x 4 x sin 60

                                                     = 4√3

The volume of big slice =  Area of surface of big slice × Height of big slice

= 16√3

= 28

Total volume of slice = Volume of small slice + Volume of big slice

Total volume of slice = 12 in³ +28 in³ = 40 in³

For the small cake, the remaining volume = 5 x 11.69 = 58.45

For the big cake the remaining volume = 5 x 27.71 = 138.56

Total volume remaining cake = 58.45 in³ + 138.56 in³ = 197.014 in³

a = Length of side

h = Height of hexagon

The volume of each slice is, therefore,

= a^2 x h x √3/4

For the small cake, we have

a = 3 in.

h = 3 in.

Volume of small slice = a^2 x h x √3/4

                                    = 9 x 3 x √3/4 = 27√3/4

For the big cake, we have

a = 4 in.

h = 4 in.

Volume of big slice =  a^2 x h x √3/4

                                 = 16 √3

The total volume of slice = Volume of small slice + Volume of a big slice

Total volume of slice = 27√3/4 + 16 √3

The total volume of slice = 39404 in³.

Learn more about hexagon;

https://brainly.com/question/16025389

#SPJ1

Answer:

32

Step-by-step explanation:

Answer:

  i) 52

  ii) 66

Step-by-step explanation:

This sort of problem is usually solved using some sort of table or Venn diagram. We have used a table in the attachment such that each of the cells in the grid represents one of the 8 possible combinations of coffee, tea, or chocolate.

The numbers in black are given directly by the problem statement. The numbers in blue are calculated from the numbers in black and one of the other given numbers in the problem statement. The numbers in red are calculated so the totals work out correctly.

The cells shaded blue-gray are "one and only one" of the drinks. The cell shaded purple-gray is "don't like any".

__

We assume that any form of "coffee" is "black coffee." The problem statement tells us 52 people like coffee.

__

The last number we calculated is the number who like none of the drinks: 66. This brings the total of non-coffee drinkers to 148.

_____

Additional comment

As noted above, the colors more or less indicate the order of the calculations. We started with 36 who like coffee only, and 46 who like coffee and not tea. That means 46-36=10 like coffee and chocolate, but not tea.

Since 16 like coffee and chocolate, that leaves 16-10=6 who like coffee and tea and chocolate (all three).

96 like chocolate, but 16 of those like chocolate and tea. The other 80 like chocolate, but not tea.

46+16=52, so there must be 0 who like coffee and tea, but not chocolate.

The number who like only one is 108. We already have 36 that are coffee only, 80-10 = 70 that are chocolate only, so there must be 108 -70 -36 = 2 who like tea only.

Now, we can finish filling the top row of the table and the totals in the bottom row.

The equivalent expression for the given expression is 3i√3.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is √-27

= i√27

= i√(9×3)

= 3i√3

Therefore, the equivalent expression for the given expression is 3i√3.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ7