(1 point) In how many ways can 3 different novels, 2 different mathematics books, and 1 biology book be arranged on a bookshelf if (a) the books can be arranged in any order

The principal amount if the interest rate is 3.5% a year is equal to $3000.

Given the following data:

Conversion:

12 months = 1 year

21 months = 1.75 year

To calculate the principal amount if the interest rate is 3.5% a year:

Mathematically, simple interest is given by the formula:

[tex]S.I = \frac{PRT}{100}[/tex]

Where:

Making P the subject of formula, we have:

[tex]P = \frac{100S.I}{RT}[/tex]

Substituting the given parameters into the formula, we have;

[tex]P = \frac{100 \times 183.75}{3.5 \times 1.75}\\\\P = \frac{18375}{6.125}[/tex]

Principal amount, P = $3000

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Answer:

Both of those are continuous

Step-by-step explanation:

A discrete function is only defined for a specified countable set of x, neither of the two provided fit that description. On the other hand, both are defined for arbitrary positive real numbers.

The value of both functions is defined for a continuous interval of x thus both will be continuous.

A certain kind of relationship called a function binds inputs to essentially one output.

The nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given the first function →

y = 30.48x where x is feet and y is a centimeter of conversion.

Now, it is known that for every foot interval there will be a centimeter that exists therefore they will be defined for all continuous intervals of x so it will be continuous.

The second function →

y = 3x + 2 where x is minutes and y is the number of gallons in a tank.

Now since for every minute of the interval, there will be a certain amount of gallons in the tank so it will be also continuous.

Hence "The value of both functions is defined for a continuous interval of x thus both will be continuous".

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Equivalent expressions are simply expressions that have the same value, irrespective of their form.

The equivalent expression of [tex]\mathbf{6x(3x + 11)}[/tex] is [tex]\mathbf{18x^2 + 66x}[/tex]

The expression is given as:

[tex]\mathbf{6x(3x + 11)}[/tex]

Start by opening the brackets; i.e. apply distributive property

[tex]\mathbf{6x(3x + 11) = 6x \times 3x + 6x \tiimes 11}[/tex]

Evaluate all products

[tex]\mathbf{6x(3x + 11) = 18x^2 + 66x}[/tex]

The expression cannot be further simplified.

Hence, the equivalent of [tex]\mathbf{6x(3x + 11)}[/tex] is [tex]\mathbf{18x^2 + 66x}[/tex]

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Answer:

x=9

Step-by-step explanation:

Answer:

$105

Step-by-step explanation:

Turn 25% to decimal

25% = 0.25

Now multiply it to 140

140 x .25

= $35

The discount price is 35$

Now subtract it to 140

140 - 35

= $105

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day!

We can solve this problem in two steps; Comprehending and Solving.

I'll start off with Comprehending.

Comprehending

We can start solving the problem by setting up an equation to help us solve the problem.

We know the original price is $140 and we get a 25% off.

We also know that 25% is equal to [tex]\frac{1}{4}[/tex].

Hence we can solve for this by multiplying [tex]140*\frac{1}{4}[/tex].

Solving

We can solve the problem by using the equation that we found out above.

We can use algebra to find out and simplify it!

[tex]140*\frac{1}{4}= x\\70*\frac{1}{2}=x\\x= 35[/tex]

But wait! We have only found out what 25% of $140 is, we still need to subtract it from the original equation.

$140-$35=$105

We've gotten our answer of $105.

Cheers!!

Answer:

Step-by-step explanation:

The investment was

20(£15.98) = £319.60

After the sale, they want to have

£319.60 + £135.00 = £454.60

Which means each suit sells for

£454.60/20 = £22.73

The markup was

£22.73 - £20.00 = £2.73

which as a fraction of the purchase price is

£2.73/£20.00 = 0.1365

0.1365(100) = 13.65%

a. We have GCD(34, 89) = 1; using the Euclidean algorithm,

89 = 2•34 + 21

34 = 1•21 + 13

21 = 1•13 + 8

13 = 1•8 + 5

8 = 1•5 + 3

5 = 1•3 + 2

3 = 1•2 + 1

b. Working backwards,

1 = 3 - 2

1 = 3 - (5 - 3) = 2•3 - 5

1 = 2•(8 - 5) - 5 = 2•8 - 3•5

1 = 2•8 - 3•(13 - 8) = 5•8 - 3•13

1 = 5•(21 - 13) - 3•13 = 5•21 - 8•13

1 = 5•21 - 8•(34 - 21) = 13•21 - 8•34

1 = 13•(89 - 2•34) - 8•34 = 13•89 - 34•34

c. Using the linear combination find in part b,

1 ≡ 13•89 - 34•34 (mod 89)

1 ≡ (-34)•34 (mod 89)

and

-34 ≡ -34 + 89 ≡ 55 (mod 89)

So, the inverse of 34 modulo 89 is 55.

d. Multiply both sides of the congruence by the inverse of 34:

55•34x ≡ 55•53 (mod 89)

x ≡ 2915 ≡ 32•89 + 67 ≡ 67 (mod 89)

Answer:

Step-by-step explanation:

Answer:

38 black and white rolls.

Step-by-step explanation:

15 rolls = 10 black and white

57 rolls = 57 divided by 15 multiplied by 10

57 rolls = 3.8 x 10 Leaving 38 Therefore there will be a total of 38 black and white rolls.

Answer:

Less then a right angle

Step-by-step explanation:

It’s can’t be equal (looks at other examples of a right angle)

It can’t be more since that would bve more then a right angle and it certainly isnt more

it can only be less

Answer:

29

Step-by-step explanation:

We first need to know what 1-digit numbers add up to 11.

One digit numbers that add up to 11 are:

2 and 9

3 and 8

4 and 7

5 and 6.

The only pair here who's difference is 7 is: 2 and 9.

9 and 2 wont work because it's even, So the answer is 2 and 9 or 29.

Answer:

slope = 4, y- intercept = - 35

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2y = 8x - 70 ( divide through by 2 )

y = 4x - 35 ← in slope- intercept form

with slope m = 4 and y- intercept c = - 35

Answer:

hiiiiiiiiiíiiiiiiiiiii

Answer: C

Step-by-step explanation:

16+9=25 so 25-4 is 21 and 7 times 3 is 21. This means that 7(3) + 4 is 25

I think any of these would work

10;18

15;28

20;35

Answer:

5:9

Step-by-step explanation:

To Find:

ratio of yellow paint to blue paint to make a particular shade of green.

Solution:

The ratio can be written as 5 to 9, or 5:9

We know that if we mix 5 gallons of blue paint with 9 gallons of yellow paint we get the particular shade of green that we want.

Then the ratio of gallons of blue paint to gallons of yellow paint is 5 to 9, or 5:9

Meaning that for every 5 gallons of blue paint we need 9 of yellow paint.

Answer

x Is less than 4

Step-by-step explanation:

It will be an open circle and the arrow is going the left direction on the number 4

Answer: Choice A

[tex]x \le 5[/tex]

========================================

Explanation:

Any point in the shaded purple region has an x coordinate that is 5 or smaller. So we go for [tex]x \le 5[/tex]. Either x = 5 or x < 5. The boundary line is solid to indicate that points on the boundary are included in the solution set.

Answer: 1

Step-by-step explanation:

1 x 3 + 1=4

4/2=2

2/2=1

the same thing happens again,

1 x 3 +1=4

4/2=2

2/2=1

therefore the number is 1 when I first started

Answer: If this is a True or False Question the Answer is False

Step-by-step explanation:

Why? because if you pick -1 (negative one) the answer will always be negative.

Answer:

5

Step-by-step explanation:

trust

Answer:

(4+6)/(2•1)

(4+6=10)/(2×1=2)

10÷2

5

Answer:

x = 0

Step-by-step explanation:

[tex]\frac{3}{2}(\frac{7}{3}x + 1) = \frac{3}{2}[/tex]

To start, let's multiply each side by the reciprocal of [tex]\frac{3}{2}[/tex].  Multiplying a fraction by its reciprocal gives us 1, which will make the left side of our equation simpler.

[tex]\frac{2}3} * \frac{3}{2}(\frac{7}{3}x + 1) = \frac{2}3} * \frac{3}{2}[/tex]

[tex]\frac{2}{3} * \frac{3}{2} = 1[/tex], so we have:

[tex]1(\frac{7}{3}x + 1) = 1[/tex] or [tex]\frac{7}{3}x + 1= 1[/tex]

Next, we can subtract 1 from both sides to further simplify the left side:

[tex]\frac{7}{3}x + 1 - 1= 1 - 1\\\frac{7}{3}x=0[/tex]

Finally, we can multiply by the reciprocal of [tex]\frac{7}{3}[/tex] on both sides in order to isolate x on the left.  Anything multiplied by 0 = 0, so now we have:

x = 0

7/2x + 3/2 = 3/2 <=> 7/2x = 0 <=> x=0

Answer:

Mary - 14

Mary's sister - 21

Step-by-step explanation:

Let x be the age of Mary = x

age of Mary's sister = x + 7

Add up to 35

x + x + 7 = 35

2x = 35 - 7

2x = 28

2x/2 = 28/2

x = 14

Now substitute the value of x

Mary = 14

Mary's sister = 14 + 7 = 21

21 + 14 = 35

Answer:

Option B is correct answer

This expression 40=4+(n-1)3 represents the correct arithmetic progression.

What is an arithmetic progression?

Every term following the first is derived by adding a constant value, known as the common difference, in an arithmetic progression.

We have,

4 + 7 + 10 + 13 + 16 + 19 + 22 + 25 + 28 +31 + 34 + 37 + 40

Arithmetic progression formula:

                             [tex]a_{n}=a_{1}+(n-1)d[/tex]

where

[tex]a_{n}[/tex] = the nᵗʰ term in the sequence

[tex]a_{1}[/tex] = the first term in the sequence

[tex]d[/tex] = the common difference between terms

By using arithmetic progression formula we can find last term of an Arithmetic series.

                    [tex]a_{n}=a_{1}+(n-1)d[/tex]

                    [tex]a_{n}[/tex]= 4 + (n-1)3

                    [tex]a_{n}[/tex] = 4 + (13-1)3

                     [tex]a_{n}[/tex]  = 40.

we have calculated the last term by using arithmetic progression formula which is 40.

Hence, This expression 40=4+(n-1)3 represents the correct arithmetic progression.

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Problem 1

The price for one super skateboard is £75.00 which is found in cell C8. When it comes to excel spreadsheets, we always read across the top first before reading the left hand side. So the format is columnRow which may seem strange if you're used to reading the row first.

Right next to cell C8 is D8 and that's the number of super skateboards sold (26 of them). Multiply the unit price by the number of units sold to get the revenue for this particular type of item.

75*26 = 1950

Now the question is: what if the company sells more than 26 skateboards? Let's say there was an error and 30 boards were sold. To quickly recompute the correct answer, we can rely on references rather than hardcoded values.

Typing out [tex]=C8*D8[/tex] will compute the multiplication of items C8 and D8. The equal sign out front is very important. It tells the spreadsheet program that you want to do this type of operation (rather than just write out plain text). If you were to simply type in C8*D8 without the equal sign, then the result is exactly C8*D8 without filling in the variables.

Don't forget about the equal sign out front

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Problem 2

Like before, we'll have an equal sign as the first thing we type in. Then we'll type in Sum(E5:E14) to sum of the values from E5 to E14. You could type in Sum(E5,E6,E7,E8,E9,E10,E11,E12,E13,E14) or you could type in E5+E6+E7+E8+E9+E10+E11+E12+E13+E14; however, that would be a tedious approach prone to error. The spreadsheet program interprets the colon as a way to fill in the gap from start to end. We start at E5 and end at E14, and add up everything in between.

Note that all the cells referenced are the various revenues for each type of item. Each of these cells is computed by multiplying the C and D column items.

Don't forget about the equal sign out front

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Problem 3

There are a few other alternatives, but your teacher might be talking about adding each item one at a time. Refer to problem 2 for more info.

Or

Don't forget about the equal sign out front

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Problem 4

Explanation: Simply pick out the smallest item. The excel command is "min" and you provide it a list of values to pick from. In this case, that list being E5:E14 to represent E5,E6,...,E13,E14. So you'll type in =Min(E5:E14) similar to what you did for the "sum" command.

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Problem 5

Explanation: As you can probably guess, the "max" function is used here. It picks out the largest value of a list. The command is =Max(E5:E14)

===========================================================

Below I've attached two images. Figure 1 shows the commands to type in, while figure 2 shows the result of each command. In other words, it's the before and after. I used LibreOffice spreadsheet, but this applies to any spreadsheet program as they all tend to follow the same idea.

Answer:

15 pairs

Step-by-step explanation:

total:$20

cat food: $8:50

two pair of socks: $1.50

$20 - $8.50= $11.50(the rest of the money)

the rest is divided by the price of the socks to obtain how may socks you can pay with $11.50.

$11.50÷$1.50≈ 7.6

Now you multiply 7.6 by two to get the exact amount of socks with the offer.

7.6×2≈15.2

15.2≈15

So with $11.50 you will buy 14 socks for 1.50 every two pairs and a pair for 0.75

Answer:

3?

Step-by-step explanation:

is this a trick question..

24/8=3 cm

So a rat is 3 cm times as long as a mouse

Answer:

11 1/2

Step-by-step explanation:

So we fist should add 9 and 2 which is 11 then we should add 3/8 and 1/8 which is 4/8, which is equal to 1/2. So the answer is 11 1/2

Answer:

7.6m

hope this helps :)