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Answer:

Hey There!! The Correct answer is: The equation is w = 241(1.06)t

And here variable t represents the number of years since 2000.

In 2001 means t=2001 -2000 = 1

So we plug 1 for t in the given expression , that is w = 241(1.06)1 = 241 * 1.06 = 255.46

Therefore in 2001, it should be worth to 255.46.

And in the given expression 1.06=1 +0.06, where 0.06 is the annual percent of growth that is 6 % .

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ItsNobody~ ☆

The projected annual percent of growth is 10% and the company worth in 2011 will be $587.74 millions. Then the correct option is C.

Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.

The projected worth (in millions of dollars) of a large company is modeled by the equation is given as,

[tex]\rm w = 206\times (1.10)^t\\\\w = 206\times (1+0.10)^t[/tex]

Then the projected annual percent of growth is 10%.

The variable t represents the number of years since 2000.

Then the company worth in 2011 will be

w = 206 × 1.1¹¹

w = $587.74 millions

The projected annual percent of growth is 10% and the company worth in 2011 will be $587.74 millions.

Then the correct option is C.

More about the exponent link is given below.

https://brainly.com/question/5497425

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Answer:

A.   L = 240 m

Step-by-step explanation:

use similar triangle

L / 60 = 80 / 20

L = (80 * 60) / 20

L = 240 m

The required distance across the lake is 240 m. Hence correct option is A.

Similar triangles, are those triangles which have similar properties i.e. angles and proportionality of sides.

Since, triangles are similar.
The ratio of their sides are also equal
60/20= L/80
L=80 x 3
L = 240 m

Thus, the required distance across the lake is 240 m.

Learn more about similar triangles here:

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Answer:18.87

Step-by-step explanation:

to find the hypotenuse of a triangle, A^2 + B^2 = C^2 if A and B are sides and C is the Hypotenuse. 100 + 256 is 356, so C^2 is 356. to find C, we square root both sides. thus C^2 becomes C, and 356 becomes the square root of 356, which is 18.8679623... and rounded to the nearest 10th of a centimeter that's 18.87

Hope this helps!

Answer: 1

Step-by-step explanation:

Given : A, B, c are three points.

We know that a plane exist that pass through three points.

So 1 plane exist that pass through points A, B,  and C.

A point (gives location) , a line(gives length) and a plane(2 dimensional flat surface) are 3 undefined terms.

We need two points two make a line and three points to make a plane.

Answer:

Step-by-step explanation:

The answer is 1

Answer:

C = 35x pence

Step-by-step explanation:

1 pen costs 15 , thus x will cost 15x

1 ruler costs 20, thus x will cost 20x

Total cost (C) will then be

C = 15x + 20x = 35x pence

The total cost of pens and rulers, C = 35x pence

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Cost 1 pens is 15.

Then, cost for x pen is 15x

Cost of 1 ruler is 20

Then, cost of x ruler is 20x

So, the total cost is

= 15x + 20x

= 35x

Learn more about Equation here:

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Answer:

see below

Step-by-step explanation:

What is the product of complex conjugates?

( a+bi) (a-bi)

FOIL

a^2 -abi+abi -b^2i^2

a^2 + b^2

C. The product of complex conjugates is a sum of two squares and is always a real number.

What are the factors (5+i) and (5−i) called?

These are called complex conjugates because the imaginary parts are opposites

C. complex conjugates

What is the sum of the complex numbers −9−i and −5−i?

-9-i+-5-i

Add the real parts

-9-5 = -14

Add the imaginary parts

-i-i = -2i

-14-2i

B. −14−2i

What is the product of the complex numbers 8i and 5i?

8i*5i = 40 i^2

We know that i^2 = -1

40*-1 = -40

B. −40

Answer:

C

Step-by-step explanation:

Since the marked angles are vertical angles, they are congruent, meaning that they have the same angle measure. Therefore, the answer is 10x = 150.

Answer:

the main aim of public participant is to encourage the public to have a meaningful input into the decision making process.

Answer:

x = 7

Step-by-step explanation:

2x + 1 = -3x + 36

2x + 3x + 1 = -3x + 3x +36

5x + 1 = 36

5x + 1 - 1 = 36 - 1

5x = 35

5x/5 = 35/5

x = 7

Answer:

first you would add 3x to -3x and 2x, then you would get 5x+1=36. Then you subtract 1 from 1 and 36. Then you get 5x=35. Then you divide by 5 to get the answer 7. so your answer is x=7

Step-by-step explanation:

hope this helps

Answer:

20 will fly in the missing side.

Step-by-step explanation:

This is a 90^o angle.

heres the formula for side c:

a^2 + b^2 = c^2

So,

12^2 + 16^2 = c^2

144 + 256 = c^2

square root of 400 = c

c = 20

So, 20 will fly in the missing gap of the V formation.

image is calculator.

Answer:

Option (B)

Step-by-step explanation:

1). Given function is,

  [tex]f(x)=\frac{1}{x-1}+3[/tex]

  It the given function 'f' is transformed by a translation of 2 units to the right, the new function will be,

h(x) = f(x - 2)

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

      = [tex]\frac{1}{x-3}+3[/tex]

Further the new function is translated by 6 units down,

g(x) = h(x) - 6

g(x) = [tex]\frac{1}{x-3}+3-6[/tex]

      = [tex]\frac{1}{x-3}-3[/tex]

Since, transformed function 'g' passes through a point (x, -2),

g(x) = [tex]\frac{1}{x-3}-3[/tex]

-2 = [tex]\frac{1}{x-3}-3[/tex]  

3 - 2 = [tex]\frac{1}{x-3}[/tex]

x - 3 = 1

x = 4

Therefore, Option (B) will be the answer.

Answer:

X>4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Money spent by Juan = $ w

Linda spent $16 less than Juan. So, we have to subtract 16 from the money spent by Juan

Money spent by Linda = w - 16

Answer:

8.30256

Step-by-step explanation:

Step 1: Write out expression

[tex]((-3)^{\frac{1}{5} })^{4(3^{\frac{1}{5} })^4[/tex]

Step 2: Use BPEMDAS to evaluate

[tex](-1.24573)^{4(3^{\frac{1}{5} })^4[/tex]

[tex](-1.24573)^{4(1.24573)^4[/tex]

[tex](-1.24573)^{4(2.40822)[/tex]

[tex](-1.24573)^{9.6329}[/tex]

= 8.30256

And we have our answer!

Answer: 46.15%

Step-by-step explanation:

From the question, we are informed that a 13 minute video played for 6 minutes. The amount of percent played will be:

= 6/13 × 100

= 0.4615 × 100

= 46.15%

Answer:

Hey there!

a+b

34+(-6)

34-6

28

Let me know if this helps :)

inverse of a matrix A is defined as [tex] AA^{-1}=I[/tex]

where I is the identity matrix of the respective order.

Answer:

x = 1

Step-by-step explanation:

x² = x

x² / x = 1

x = 1

Check:

1² = 1

Step-by-step explanation:

Hey, there !!

Let's simply work with it,...................

Here, theequation is,

[tex] {m }^{2} - 4 = 0 [/tex]

[tex]or \: {m }^{2} = 4[/tex]

[tex]or \: m = + - \sqrt{4} [/tex]

[tex]or \: m = + - \sqrt{ {2}^{2} } [/tex]

cancelling square and square root we get answer is,

= (+ - 2).

It means the value of m is plus(+) minus(-) 2.

Hope it helps...

Answer:

-6xy - 16x -24y -64

Step-by-step explanation:

(2x+8)(-3y-8) =

To find the answer,

First multiply, the first number on both sides,

2x * -3y = -6xy

Then the first number on the left side and the second number on the right side,

2x * -8 = -16x

Then the second number on the left side and the first number on the right side,

8 * -3y = -24y

Then the second number on the left side and the second number on the right side,

8 * -8 = -64

Now add all the answers,

-6xy -16x -24y -64

Answer:

-6xy-16x-24y-64

Step-by-step explanation:

(2x+8)(-3y-8)​

Foil

First 2x*-3y = -6xy

outer -8*2x = -16x

inner -3y *8 = -24y

last -8*8 = -64

Add them together

-6xy-16x-24y-64

Answer:

The conditions for a substance to float on liquid are given below:

[tex] \mathrm{Hope \: I \: helped!}[/tex]

[tex] \mathrm{Best \: regards!}[/tex]

Answer:

1 3/4 cups is between the 13th and 15th lines from the bottom.

Step-by-step explanation:

The bottom of the cup has no line and corresponds to 0 eights.

1st line up: 1/8 cup  

2nd line up: 2/8 cup    this is also called 1/4 cup

3rd line up: 3/8 cup

4th line up: 4/8 cup     this is also called 1/2 cup

5th line up: 5/8 cup

6th line up: 6/8 cup     this is also called 3/4 cup

7th line up: 7/8 cup

8th line up: 8/8 cup     this is also called 1 cup

9th line up: 9/8 cup

10th line up: 10/8 cup    this is also called 1 1/4 cup

11th line up: 1 3/8 cup

12th line up: 1 4/8 cup     this is also called 1 1/2 cup

13th line up: 1 5/8 cup

14th line up: 1 6/8 cup    this is also called 1 3/4 cup

15th line up: 1 7/8 cup

16th line up: 1 8/8 cup    this is also called 2 cups

1 3/4 cups is between the 13th and 15th lines from the bottom.

Answer:

pattern A is going by 3

pattern B is going by 12

Step-by-step explanation:

so you basically just have to add 3 for pattern a and add 12 for pattern B for each number

Answer:

5.12 in. by 7.68 in.

Step-by-step explanation:

In similar triangles, the ratios of the lengths of corresponding sides are equal.

width of medium triangle = 4/5 width of large triangle

width of medium triangle = 4/5(8 in.) = 6.4 in.

length of medium triangle = 4/5 length of large triangle

length of medium triangle = 4/5(12 in.) = 9.6 in.

width of small triangle = 4/5 width of medium triangle

width of small triangle = 4/5(6.4 in.) = 5.12 in.

length of small triangle = 4/5 length of medium triangle

length of small triangle = 4/5(9.6 in.) = 7.68 in.

Answer:

The correct option is;

12.3 + 0i

Step-by-step explanation:

The form a + b·i is the complex number form where the variables a and b are real numbers and i is the square root of -1, √(-1) that is i² = -1. As the answer to  √(-1), cannot be found among the real numbers, i, is known as an imaginary number.

As such  a given complex number of the form a + b·i, has a real, part or component, a, and an imaginary part, b.

The number 12.3, is a real number, therefore, representing the number in a complex number format, the imaginary part, b, would be zero, as follows;

12.3 + 0·i

Answer:

The third table is the correct answer

Step-by-step explanation:

Here in this question, we are concerned with determine which of the tables correctly represents what an exponential function is.

An exponential function is a function of the form;

y = x^n

where the independent variable x in this case is raised to a certain exponent so as to give the results on the dependent variable axis (y-axis)

In the table, we can see that we have 2 segments, one that contains digits 1,2 and so on while the other contains purely the powers of 10.

Now, let’s set up an exponential outlook;

y = 10^x

So we have;

1 = 10^0

10 = 10^1

1/10 = 10^-1

1000 = 10^3

1/100 = 10^-2

We can clearly see here that we have an increase in the value of y, depending on the value of the exponent.

However it is only this table that responds to this successive correctness as the other tables in the answer do have a point where they fail.

For example;

10^-2 is not 10 which makes the fourth table wrong

10^4 is not 100 which makes the first table wrong

we have same error on second table too

Answer:

1.72

Step-by-step explanation:

AB tangent at D, AD = OD = 4

so triangle OAD is right angle with side of 4 and 4.

area of OAD = 1/2 * 4 * 4 = 8

Angle AOD = DAO = 45 deg.

so circular sector OCD area = area of circle O * 45/360

= pi * 4 * 4 * 45/360

= 2pi

Shade area ACD = trigangle OAD - circular sector OCD

= 8 - 2pi

= 1.72

Answer:

Area of the shaded region= 82.2 cm²

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

[tex]\boxed{3^3 * 2 * 5}[/tex]

Step-by-step explanation:

Look at the image below ↓

Answer:

16 factors of 270

Step-by-step explanation:

1*270

2*135

3*90

5*54

6*45

9*30

10*27

15*18

Answer:

[tex]\huge\boxed{x = -5.8}[/tex]

Step-by-step explanation:

2x + 17.6 = 6

Subtracting both sides by 17.6

2x = 6 - 17.6

2x = -11.6

Dividing both sides by 2

x = -11.6 / 2

x = -5.8