how do you factor this?​

Answer:

y = 10(1.01)^60

Step-by-step explanation:

The general equation of exponential growth is

y = ab^x

b has to do with the rate of growth.

b = 1 + r, so in this case, b = 1 + 1% = 1 + 0.01 = 1.01.

Now we have

y = a(1.01)^x

a is the initial value, so now we have

y = 10000(1.01)^x

where y is the number of books after x months

Since you need the number of books after 5 years, we must convert 5 years into months.

5 years * (12 months)/year = 60 months

The problem wants the expression in thousands of books, so we divide the initial value by 1000.

Answer: y = 10(1.01)^60

   Expression representing the number of books after 5 years,              

                           [tex]A(60)=10000(1.01)^{60}[/tex]

          [tex]A(t)=A_0(1+r)^t[/tex]

          Here, [tex]A(t)=[/tex] Final amount

          [tex]A_0=[/tex] Initial amount

           [tex]r=[/tex] Growth rate

           [tex]t=[/tex] Duration or time

Given in the question,

Substitute these values in the expression,

[tex]A(t)=A_0(1+r)^t[/tex]

[tex]A(60)=10000(1+0.01)^{60}[/tex]

      Therefore, expression representing the number of books after 5 years will be → [tex]A(60)=10000(1.01)^{60}[/tex]

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Answer:

Tbh Im not sure

Step-by-step explanation:

Answer:

I think the answer is 1/2 (x^2 + 11x + 30) but see the discussion below.

Step-by-step explanation:

I can hardly read the signs between the dimensions. This is my best guess.

Area Shaded = Area Rectangle - Area Triangle

Area Rectangle = (x + 5)(x + 6)

Area Triangle = 1/2 (x + 5 ) ( x + 6)

Area shaded = (x + 5)(x+6) - 1/2 (x + 5)(x + 6)

Area shaded = 1/2 (x + 5)(x + 6)

Area Shaded = 1/2 (x^2 + 11x + 30)

If the second factor (x + 6) is really x - 6 then the area of the shaded area is 1/2  (x+5)(x - 6)

Area Shaded = 1/2 * (x^2 - x - 30)

Answer:

[tex]y = {x}^{2} - 4x[/tex]

Total surface area

=2 ×(area of triangle) +( area of rectangle 1) + (area of rectangle 2) + (area of rectangle 3)

2×(1/2 × 16 ×12) + (10×12)+(16×10)+(20×10)

=672 cm²

Given:

The figure of a triangle.

To find:

The value of x.

Solution:

According to the triangle proportionality theorem, if a line segment divides the two sides of a triangle and parallel to the third side of the triangle, the it divides the two inclined sides proportionally.

Using triangle proportionality theorem, we get

[tex]\dfrac{2x}{80}=\dfrac{27}{60}[/tex]

[tex]\dfrac{x}{40}=\dfrac{9}{20}[/tex]

Multiply both sides by 40.

[tex]x=\dfrac{9}{20}\times 40[/tex]

[tex]x=9\times 2[/tex]

[tex]x=18[/tex]

Therefore, the value of x is 18.

Answer:

$19,260

Step-by-step explanation:

6,000 * 7% = 420

6,000 + 420 = 6,420

6,420 * 3 = 19,260

easy

Answer:

$1,260

Step-by-step explanation:

So first of all you want to start by finding what P, r and t would be.

P = Principal amount ($$)

r = interest rate (%)

t = time (years)

Once I found all of those I put them into the equation (l = Prt) and solved (by putting it into a calculator obviously). That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)

Hope this helps! :)

Have a great day!

Answer:

The answer is B

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

as the poem goes,

if you are bad at being good then you are bad

if you are good at being good then you are good

if you are bad at being bad then you are good

if you are good at being bad then you are good

take the third line into account

-12 - -12 is the same as -12 + 12 = 0

Answer:

The line will not pass through the first quadrant.

Step-by-step explanation:

Since the y-intercept is negative, and the slope is negative, the line will start in the second quadrant, pass through the third quadrant to intercept the y-axis, then pass through the fourth quadrant. It will never touch the first quadrant.

Answer:

x*(x+3)*(x^2)

Step-by-step explanation:

Width: x meters, length: x + 3 meters, height x^2 meters

It's an expression, so there's no simplifying needed.

x(x+3)(x^2)

But if I'm wrong and it's supposed to be simplified, Read the rest.

First, multiply x by x + 3

x(x + 3)

x^2 + 3x

Now, multiply x^2 + 3x by x^2

(x^2)(x^2 + 3x)

x^4 + 3x^3

Answer:

Amount of active ingredient is 0.04(8+x)= 0.32+0.4x

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

EQUATION:

active ingre. + active ingre. = active ingre

0.48 + 0 = 0.32 + 0.04x

0.16 = 0.04x

x=4ML (amount of water that must be added)

The amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

8 mL of 6% saline solution to reduce the concentration to 4%.

Let x be the amount that should be added to 8 mL of 6% saline solution to reduce the concentration to 4%.

The amount of active ingredients is

0.04(8 + x) = 0.32 + 0.4x

Active ingredients + active ingredients  = active ingredients

0.48 + 0 = 0.32 + 0.04x

0.16 = 0.04x

x=4 ml; the amount of water that must be added

Thus, the amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.

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Answer:

40.32

Step-by-step explanation:

I did it on Goggle

Answer:

The answer is number 3

Step-by-step explanation:

[tex] {(x - 3)}^{2} = {x }^{2} - 6x + 9[/tex]

Answer:

answer- 3

Step-by-step explanation:

9(x−3)

2

=x

2

−6x+9

Answer:

0.01

Step-by-step explanation:

the answer is 0.010834 so I would round that to 0.01

Answer:

ps and qr is parellel so the 70°and x is co interior angles.

so, our equation will be look like .

70°+x=180°

x=180°-70°

x=110°

The sides PS and QR are parallel for x = 110°

Option 4 is correct.

The pair of non-adjacent interior angles that are on the same side of the transversal are referred to as consecutive internal angles.The term "consecutive" describes events that take place side by side.

As per the given data:

PQRS is a quadrilateral with sides PS and QR parallel.

∠P = 70°

∠Q = x°

∠S = 112°

For sides PS and QR to be parallel:

∠Q + ∠P = 180° {Co-interior angles on the same side of the transversal}

x° + 70° = 180°

x = 110°

Hence, sides PS and QR are parallel for x = 110°

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Answer:

1/2 ornament in an hour

Step-by-step explanation:

Given

[tex]Orna\ ments = 2[/tex]

[tex]Time = 4[/tex]

Required

Determine the ornaments per hour

This question implies that we calculate the unit rate.

[tex]Unit\ Rate = \frac{Orna\ ments}{Time}[/tex]

Substitute values for Time and number of ornaments

[tex]Unit\ Rate = \frac{2}{4}[/tex]

[tex]Unit\ Rate = \frac{1}{2}[/tex]

This implies that Constance can decorate 1/2 ornaments in an hour

Answer:

1 over 4

Step-by-step explanation:

if u do rise over run it will be 1 over 4 as well

Step-by-step explanation:

x=20 y =5

y=mx+b

b=0

5=20m

m=5/20=0.25

the slope is 0.25

Answer:

# = number of tiles + 2

Step-by-step explanation:

So It would be 3,5,7 but your would add 2 to each number of tiles increased.

There were 0 tiles in step 0

Answer:

It can be observed that there is a pattern

Step 1

Step 2

Step 3

Step 4

Step n

Answer:

C

Step-by-step explanation:

In a 45-45-90 triangle, two of the sides are congruent because the angles are congruent. Choice C is the only answer in which the sides are congruent.

Answer:

1. 3x -6 + 4 = -20

2. 3x - 2 = -20

3. 3x = -18

4. × = -6

Answer:

The first one is 3x-2=-20. So the - 2 will cross the equal sign making it positive so it will be 3x = -20+2 given you 3x = - 18. You will divide it by 3 given u - 6. So all of them x= - 6

Answer:

It would cost 3 dollars.

Answer:

3 dollars

Step-by-step explanation:

Answer:

My guess would be B

Step-by-step explanation:

I have no definite way to solve this, so i may be wrong. Take this with a grain of salt. If this assignment is graded, I suggest wait for someone elses

answer on Brainly.

Answer:

(3x + 1)(2x + 1)

Step-by-step explanation:

Remark

This thing really does factor.

Both the first and last coefficients are prime, so if it factors easily 1 and 3 and 1 and 2 must be there somewhere.

(3x + 1)(x + 2)    would be the logical guess. That turns out to be correct.

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment= $8,800

Percentage decrease= 26.5%

To calculate the money Maya lost, we need to use the following formula:

Decrease on dollars= 8,800*0.265

Decrease in dollars= $2,332

At the end of the years she has:

Money left= 8,800 - 2,332

Money left= $6,468

Answer:

The answer is $32000.

Step-by-step explanation:

Answer:

f(x) = x3

Step-by-step explanation: im not smart i just looked up your question and thats what i got

it 4.56 that how i know because