a certain quantity grows exponeotially over time.the inital quantity at t=0 is 2000.the quantity grows by a factor of 20%. what is the quantity at t=8

Answers

Answer 1

Answer:

5200

Step-by-step explanation:

2000 x 20% = 400

400 x 8 = 3200

2000 + 3200 =5200


Related Questions

Point A is at (-6,8) and Point B is at (0,0.5) pint M is at the midpoint of point A and B

Answers

Answer:

Midpoint = (-3, 4.25)

Step-by-step explanation:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-6,\:8\right),\:\left(x_2,\:y_2\right)=\left(0,\:0.5\right)\\\\=\left(\frac{0-6}{2},\:\frac{0.5+8}{2}\right)\\\\= (\frac{-6}{2} , \frac{8.5}{2} )\\\\Simplify\\\\=\left(-3,\:4.25\right)[/tex]

2d - 15 =3 pls answer ASAP and with corrections

Answers

Answer: d=9

Step-by-step explanation:

2d -15 = 3    Add 15 to both sides

     + 15 +15

2d = 18    Divide both sides by 2

d = 9

Answer:

d=9

Step-by-step explanation:

collecting like terms

2d=3+15

2d=18

d= 9

9 is 15% of what amount?

Answers

Answer:

0.9 is 15% of 6

work:

0.15 x 6 = 0.9

Hope this helps!

Can you help me out?

Answers

Answer:

Eight X plus sixty equals one hundred fifty-six

What is an algebraic expression for each word phrase? a. 11 more than twice a number x b. 2 less than the quotient of 5 and a number x c. The product of 4 and the sum of a number x and 8

Answers

Answer:

a.) 11>2x.

b.) 2<5÷x.

c.) 4(x+8).

The word phrases into an algebraic expression will be 2x + 11, 5/x - 2, and 4(x + 8).

How to convert the sentence into an expression?

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

Convert all the word phrases into an algebraic expression. Then we have

a. 11 more than twice a number x. Then we have

⇒ 2x + 11

b. 2 less than the quotient of 5 and a number x. Then we have

⇒ 5/x - 2

c. The product of 4 and the sum of a number x and 8. Then we have

⇒ 4(x + 8)

The word phrases into an algebraic expression will be 2x + 11, 5/x - 2, and 4(x + 8).

More about the conversion of sentences into equation link is given below.

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cosA×cos2A+sinA×sin2A=cos (2A-A)​

Answers

Answer:

csc

A

, as desired!

Step-by-step explanation:

cos

2

A

sin

A

+

sin

2

A

cos

A

,

=

cos

2

A

cos

A

+

sin

2

A

sin

A

sin

A

cos

A

,

=

cos

(

2

A

A

)

sin

A

cos

A

,

=

cos

A

sin

A

cos

A

,

=

1

sin

A

,

=

csc

A

, as desired!

5. Find the point X on CF that is of the distance from C to F. C is -4 F is 5 -7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 A) -2.2 B) 0.5 C) -1.8 D) -3​

Answers

Correct Question: Find the point X on CF that is ⅕ of the distance from C to F.

*See attachment below for the numberline.

Answer:

A.) -2.2

Step-by-step explanation:

Given that C on the numberline = -4,

F on the numberline = 5

The distance from point C (-4) to point F (5) = |-4 - 5| = |-9| = 9

We are told that point X on CF, = ⅕ of the distance from point C to F. That is, X on the numberline is ⅕ of 9 = ⅕*9

⅕*9 = 9/5 = 1.8

This means, the coordinate of point X, from point C = coordinate of C + 1.8 = -4 + 1.8 = -2.2.

Therefore, the coordinate of X that is ⅕ of the distance from point C to F is -2.2.

Probe that:
[tex] \sec \alpha \sqrt{1 - \sin( {}^{2} ) } \alpha = 1[/tex]

Answers

Step-by-step explanation:

[tex] \sec \alpha \sqrt{1 - \sin ^{2} \alpha } = 1[/tex]

Prove the LHS

Using trigonometric identities

That's

[tex] \cos ^{2} \alpha = 1 - \sin^{2} \alpha [/tex]

Rewrite the expression

We have

[tex] \sec \alpha \sqrt{ \cos^{2} \alpha } [/tex]

[tex] \sqrt{ { \cos }^{2} \alpha } = \cos \alpha[/tex]

So we have

[tex] \sec \alpha \times \cos \alpha [/tex]

Using trigonometric identities

[tex] \sec \alpha = \frac{1}{ \cos \alpha } [/tex]

Rewrite the expression

That's

[tex] \frac{1}{\cos \alpha } \times \cos \alpha [/tex]

Reduce the expression with cos a

We have the final answer as

1

As proven

Hope this helps you

Hoses A and B spout water at different constant rates, and hose A can fill a certain pool in 6 hours. Hose A filled the pool alone for the first 2 hours and the two hoses, working together, then finished filling the pool in another 3 hours. How many hours would it have taken hose B, working alone, to fill the entire pool

Answers

Answer:

18 hours

Step-by-step explanation:

Let the volume of the pool be x. Since pipe A filled the  pool in 6 hours, the rate of pipe A = x / 6.

Let the rate of pipe b be y, Hose A filled the pool alone for the first 2 hours, this means that the volume filled in the 2 hours is x/6(2 hours) and the two hoses, working together, then finished filling the pool in another 3 hours for the 3 hours the volume filled is x/6(3) + y(3).  hence the total time is:

x/6(2) + x/6(3) + y(3) = x

x/3 + x/2 + 3y = x

Multiply through by 6:

2x + 3x + 18y = 6x

5x + 18y = 6x

18y = x

y = x/18

The rate of pipe B is x/18, this means it would take pipe B 18 hours to full the pool alone

-7 + 9(2d - 3w) use w = 5 and d = 2

Answers

Answer:

-106

Step-by-step explanation:

[tex] - 7 + 9(2d - 3w) \\ w = 5 \\ d = 2[/tex]

Substitute the given values for w and d into the equation.

[tex] - 7 + 9(2(2) - 3(5)) \\ [/tex]

Follow the PEDMAS order of operation

[tex] - 7 + 9(4 - 15) \\ - 7 + 9( - 11) \\ = - 7 + ( - 99) \\ = - 7 - 99 = - 106[/tex]

Four more than the product of 19 and a number

Answers

4+(19x)

four plus 19 and a number

Answer:

19+4x

Step-by-step explanation:

We can write an expression:

19x+4x

"Four more": +4x

product of 19 and a number: 19x


[tex]( \frac{1}{2} {a}^{2} + \frac{1}{2} ab - {b}^{2} )[/tex]

Answers

Answer:

[tex]\frac{1}{2}[/tex] (a + 2b)(a - b)

Step-by-step explanation:

Assuming you require the expression to be factored

Given

[tex]\frac{1}{2}[/tex] a² + [tex]\frac{1}{2}[/tex] ab - b² ← factor out [tex]\frac{1}{2}[/tex] from each term

= [tex]\frac{1}{2}[/tex] (a² + ab - 2b²) ← factor the quadratic

Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)

The factors are + 2 and - 1, since

2 × - 1 = - 2 and 2 - 1 = + 1, thus

a² + ab - 2b² = (a + 2b)(a - b) and

[tex]\frac{1}{2}[/tex] a² + [tex]\frac{1}{2}[/tex] ab - b² = [tex]\frac{1}{2}[/tex](a + 2b)(a - b)

Tim's phone service charges $27.22 plus an additional $0.15 for each text message sent per month. If Tim's phone bill was $30.97, which equation could be used to find how many text messages, x, Tim sent last month? A. $0.15x + $27.22 = $30.97 B. $27.22x - $0.15 = $30.97 C. $27.22x + $0.15 = $30.97

Answers

Answer:

A) $27.22 + $0.15x = $30.97

Step-by-step explanation:

Answer:

The answer would be  A. $0.15x + $27.22 = $30.97

Step-by-step explanation:

p = q/4 -r solve for q

Answers

Answer:

4(p+r) = q

Step-by-step explanation:

p = q/4 -r

Add r to each side

p+r = q/4 -r+r

p+r = q/4

Multiply each side by 4

4(p+r) = q/4*4

4(p+r) = q

∠1 and ∠2 are vertical angles. If the measure of ∠2 is 105°, find the measure of ∠1.

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{105°}}}}}[/tex]

Step-by-step explanation:

Given, < 2 = 105°

To find : < 1

When two lines interest the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles are always equal to each other.

So,

<1 = 105 °

Hope I helped!

Best regards!

Answer:

[tex]\Huge \boxed{\angle 1 = 105 \° }[/tex]

Step-by-step explanation:

[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertical angles.

[tex]\angle 2= 105 \°[/tex]

Vertical angles are equal in measure.

[tex]\angle 1= \angle 2[/tex]

[tex]\angle 1= 105 \°[/tex]

Question 3 (5 points)
(-1) + 5 -(-6) - 5 =
A) -3
B) 0
C) 5
D) -2.

Answers

Answer:

5

Step-by-step explanation:

-1+5+6-5

-1-5+5+6

-6+11

5

Three equivalent ratios are shown on the graph. On a coordinate plane, points (1, 0.5), (2, 1), and (5, 2.5) are plotted. Starting on one of the plotted points, how can you plot more equivalent ratio points? Move up one and right one and one-half. Move up one and one-half and right three. Move up two and right three. Move up one-half and right two

Answers

Answer:

Move up one half and right two.

Step-by-step explanation:

trust

Answer:

move on up one and right two

Step-by-step explanation:

Can anyone find the slope of this line (lots of points reward)

Answers

Answer:

(-5,1)

Step-by-step explanation:

i dont really know but might be right

Answer:

   -1/2

Step-by-step explanation:

Find two points on the line

(0,-5) and (2,-6)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (-6 - -5)/( 2-0)

   ( -6+5)/( 2)

     -1/2

what is 1/8(3d-12)=1/4(d+5)

Answers

Answer:

d=22

Step-by-step explanation:

1/8(3d-12)=1/4(d+5)

d= 22

Match each pair of points with the approximate distance between them. Round your answer to the nearest tenth. Answers: 7.07, 5.1, 2, 2.83, 5.39, 13.15, 12.5 What to match them to: (3,-1) and (5,4), (2,3) and (4,5), (-5,7) and (8,5), (-2,4) and (3,-1)

Answers

(3, -1) -> (5, 4) = 5.38516 or 5.39 units

(2, 3) -> (4, 5) = 2.82843 or 2.83 units

(-5, 7) -> (8, 5) = 13.1529 or 13.15 units

(-2, 4) -> (3, -1) = 7.07107 or 7.07 units

The correct matching of the pair of points and the distance between them would be:

(3, -1) → (5, 4) = 5.39 units(2, 3) → (4, 5) =  2.83 units(-5, 7)  → (8, 5) = 13.15 units(-2, 4) → (3, -1) =  7.07 units

How to find the distance ?

The distance between two points in a 2-dimensional Cartesian plane is given by the Euclidean distance formula, which is a direct application of Pythagoras' theorem.

The distance between the points are therefore:

(3,-1) and (5,4):

Distance = √[(5 - 3)² + (4 - (-1))²] = √[(2)² + (5)²]

= √[4 + 25] = √[29]

= 5.39

(2,3) and (4,5):

Distance = √[(4 - 2)² + (5 - 3)²] = √[(2)² + (2)²]

= √[4 + 4] = √[8]

= 2.83

(-5,7) and (8,5):

Distance = √[(8 - (-5))² + (5 - 7)²] = √[(13)² + (-2)²]

= √[169 + 4] = √[173]

= 13.15

(-2,4) and (3,-1):

Distance = √[(3 - (-2))² + ((-1) - 4)²] = √[(5)² + (-5)²]

= √[25 + 25]

= √[50]

= 7.07

Find out more on distance at https://brainly.com/question/7243416

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What is the area of 6 ft and 5 ft

Answers

Well area is bh/2 which I would say 15 I’m not sure if it’s the right answer

Answer:

15

Step-by-step explanation:

Explain how to use friendly percents to find 35% of 80

Answers

Answer:

You can use friendly percents to find 35% of 80 by writing 35% as 25% + 10%. 25% of 80 is 80 divided by 4, which is 20. 10% of 80 is 80 divided by 10, which is 8. 20 + 8 = 28. So 35% of 80 is 28.

Step-by-step explanation:

I just did the test!!! And plus its a sample answer !!!

At what speed does the pitcher's arm rotation in degrees-s?

Answers

Answer:

7000 degrees per sec

Step-by-step explanation:

If the arm goes 7 degrees per ms to get how many degrees it goes per sec, just multiply by 1000.

*em janeiro foram produzidos 818,4 litros de leite * em fevereiro 771,1 litros de leite *em março 815,2 litros de leite *em abril 784,5 litros de leite *em maio 803,4 litros de leite * em junho 742,9 litros de leite Agora responda: a)Quantos litros de leite foram produzidos EM MÉDIA, por mês? b)Quantos litros de leite, em média, foram produzidos diariamente no mês de janeiro?

Answers

Answer:

ifk

Step-by-step explanation:

tdf

A line with a slope of 3 passes through (2,5). Which choice is an equation of this line? Please help

Answers

Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

m is the slope and x₁ and y₁ is an ordered pair.

Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:

[tex]y-5=3(x-2)[/tex]

Our answer is the top right :)

Answer:

Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

m is the slope and x₁ and y₁ is an ordered pair.

Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:

Our answer is the top right :)

Step-by-step explanation:

why isn’t 3/4 a integer? answer asap pls

Answers

Answer: integer's are whole  numbers so a fraction,decimal and negitive numbers aren't integer's

Step-by-step explanation:

Please answer these questions and the photo is above and please show the simple work

Answers

I'm not going to answer the questions for you. Instead I will give you stuff taht will help you solve the problems.

A negative divided/multiplied by another negative will be positive

A negative divided/multiplied by a positive will be negative

Good luck with your math hw! If you need more help, just comment!

The mapping diagram shows a functional relationship Complete the statements f(4) is Domain Range f(x) = 4 when x is. ​

Answers

Answer:

f(4) is 1/2

f(x)= 4 when x is 8

The complete statements would be as:

function f(4) is 1/2 and function f(x) = 4 when domain x is 8.

What are the domain and range of the function?

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given that the mapping diagram shows a functional relationship.

To determine the value of f(4)

As per the given functional relationship,

If the value of the domain is 4 then the value of the respective range would be 1/2.

Therefore, the function f(4) would be 1/2.

To determine the value of x,  when f(x) = 4

As per the given functional relationship,

If the value of the range is 4 then the value of the respective domain would be 8.

Therefore, x would be 8 if function f(x) = 4 .

Hence, the complete statements would be as:

f(4) is 1/2 and f(x) = 4 when x is 8.

Learn more about the domain and the range here:

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I plugged in 4 for the derivative function but I’m getting the wrong answer?

Answers

Answer:

8.6615988

Step-by-step explanation:

f(x) = 3 sin (x) / ( 1 + cos x)

To find the derivative   bottom * d/ dx top  - top d/dx bottom  all over the bottom squared

d/dx = 3 ( ( 1 + cos x)  cos x - sin x( - sin x))   / ( 1 + cos x) ^2

         = 3 ( cos x + cos ^2 x + sin ^2 x)   / ( 1 + cos x) ^2

         = 3 ( 1 + cos  x) /  ( 1 + cos x) ^2

         = 3 / ( 1 + cos x)

Let x = 4

3  /  ( 1 + cos 4)

Assuming x is in radians

3/.346356

8.6615988

Convert the following:
4 quarts is equivalent to
0 liters (rounded to the hundredth)

Answers

Answer:

3.79 liters

Step-by-step explanation:

2 quarts equals 1.89 so 2×2 = 3.79

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