Otto invests $1,000 at age 20. Otto wants theinvestment to be worth $4,000 by age 30. Ifinterest is compounded continuously, what rateof return does Otto need to reach that goal?Enter your answer as a decimal rounded to thethousandths place.

Answer: (ln10)/6=t

Step-by-step explanation: e is an irrational number, like pi. Therefore the only variable to solve for is "t." Divide both sides by 4, then subtract (1/4) from both sides to get 10. Then take the natural log of both sides because you get rid of e on the left side, and you have the variable by itself. Natural log, or ln, represents loge base e, so dividing both sides by 6, we get t! I hope this helps!

Answer:

Step-by-step explanation:

The solution of the equation expressed as 3 (x minus 1.25) = 11.25 is

A = 3 ( x - 1.25 ) = 11.25

The value of the equation is 5

What is an Equation?

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.

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 data ,

Let the equation be A

Now the value of the equation A is

The equation A is expressed as 3 (x minus 1.25) = 11.25

Substituting the value in the equation , we get

A = 3 ( x - 1.25 ) = 11.25

3 ( x - 1.25 ) = 11.25

On simplifying the equation , we get

Divide by 3 on both sides, we get

x - 1.25 = 3.75

Adding 1.25 on both sides of the equation , we get

x = 5

So, the value of x is 5

Hence , The solution of the equation expressed as 3 (x minus 1.25) = 11.25 is  A = 3 ( x - 1.25 ) = 11.25

The value of the equation is 5

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Answer: Tobin should have divided by 3

Step-by-step explanation: I took the test please mark brainliest

Answer: 519 120

Step-by-step explanation:

84*84=7056

7056/7=1008

1008*515=519 120

I pretty sure the answer is C

The statement correctly describes the perpendicular bisector construction below The construction of JK to bisect GH: Option D is the correct answer

The term perpendicular bisector refers to the line that divides another line into two equal parts, making an angle of 90 degrees. The term is made up of two words, perpendicular and bisector.

Perpendicular refers to angle 90 degrees, while the bisector refers to dividing into two equal parts.

In the picture, the main line is GH while JK is the line constructed to bisect the main line

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Answer:

\(a=-\frac{2}{3}\)

Step-by-step explanation:

We are given the lines, \(y=3x+8\) and \(2y=ax-5\). For the latter equation, we can isolate the variable y to have the same format as the first. We want to create a y=mx+b equation where m represents the slope of the line. We now have the equations:

\(y=3x+8\) and

\(y=\frac{a}{2}x-2.5\)

The definition of perpendicular lines is that their slopes must be the negative reciprocal of each other. Thus:

\(-\frac{1}{3}=\frac{a}{2} \\\\a=-\frac{2}{3}\)

I hope this helps! Let me know if you have any questions :)

Answer:

1. 2,772

2.1,071

3.4,641

4. 36,610

5. 4,096

6. 36,270

7. 2,403

8. 3,320

The option A that is 2 days after being planted, the two plants will of the same height( Where the two lines intersect in a graph).

How to know if the lines intersect in the graph of a function?

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

And after solving both equations if the values of x and y satisfies both equations then they intersect at that values of x and y.

Now,

On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.

The graph models the growth of each plant since the day they were planted.

The intersection of the two lines represents the days after being planted were the two plants the same height.

The answer is that 2 days after being planted, the two plants are the same height.

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The answer is that 2 days after being planted, the two plants are the same height.

How to know if a point lies in the graph of a function?

The answer is that 2 days after being planted, the two plants are the same height.

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Answer:

Hence, the equation of the line that passes through the points (8,0) and (-9,-9) is \(y =\frac{9x}{17} - \frac{72}{17}\).

Step-by-step explanation:

We have to find the equation of the line that passes through the points (8,0) and (-9,-9).

Let the two points be (\(x_1,y_1\)) = (8, 0) and (\(x_2, y_2\)) = (-9, -9).

Now, we will find the two-point slope using the above two points, i.e;

Slope =  \(\frac{y_2-y_1}{x_2-x_1}\)

          =  \(\frac{-9-0}{-9-8}\)  =  \(\frac{9}{17}\)

Now, the equation of the line using one of the point, let's say (\(x_1,y_1\)) = (8, 0) is given by;

\(y - y_1 = \text{Slope} \times (x - x_1)\)

\(y - 0 =\frac{9}{17} \times (x - 8)\)

\(y =\frac{9x}{17} - \frac{72}{17}\)

Hence, the equation of the line that passes through the points (8,0) and (-9,-9) is \(y =\frac{9x}{17} - \frac{72}{17}\).

Answer:

2x-16y=24

x-8y=5

Step-by-step explanation:

Answer:

1)=87.71 2)=98.37 3)=4836.9 4)=310.76 5)=405.856

Step-by-step explanation:

if u need more contact me

Answer: heres the answer

Step-by-step explanation:

Given dimensions of the room:

Length: \(\displaystyle\sf 12.5 \,m\)

Width: \(\displaystyle\sf 9 \,m\)

Height: \(\displaystyle\sf 7 \,m\)

Area of each wall:

\(\displaystyle\sf Area_1 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_2 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_3 = 9 \times 7 = 63 \,m^2\)

\(\displaystyle\sf Area_4 = 9 \times 7 = 63 \,m^2\)

Area of each door:

\(\displaystyle\sf Area_{\text{door}} = 2.5 \times 1.2 = 3 \,m^2\)

Area of each window:

\(\displaystyle\sf Area_{\text{window}} = 1.5 \times 1 = 1.5 \,m^2\)

Total area occupied by doors:

\(\displaystyle\sf Total_{\text{doors}} = 2 \times Area_{\text{door}} = 2 \times 3 = 6 \,m^2\)

Total area occupied by windows:

\(\displaystyle\sf Total_{\text{windows}} = 4 \times Area_{\text{window}} = 4 \times 1.5 = 6 \,m^2\)

Total wall area excluding doors and windows:

\(\displaystyle\sf Total_{\text{wall\,area}} = (Area_1 + Area_2 + Area_3 + Area_4) - Total_{\text{doors}} - Total_{\text{windows}}\)

\(\displaystyle\sf = (87.5 + 87.5 + 63 + 63) - 6 - 6\)

\(\displaystyle\sf = 275 - 6 - 6\)

\(\displaystyle\sf = 263 \,m^2\)

Cost of painting the walls:

\(\displaystyle\sf Cost_{\text{painting}} = Total_{\text{wall\,area}} \times 3.50\)

\(\displaystyle\sf = 263 \times 3.50\)

\(\displaystyle\sf = 920.50 \,Rs\)

Therefore, the cost of painting the walls of the room at Rs. 3.50 per square meter is Rs. 920.50.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Hi there!  

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I believe your answer is:  

\(x = 2\)

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Here’s why:  

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

7<x = 23

Answer:

r = 19.0

s = 17.7

Step-by-step explanation:

In the given right triangle ABC,

Measure of Hypotenuse (AC) = 26

m(∠CAB) = 43°

By applying sine rule in the given triangle,

sin(43)° = \(\frac{\text{Opposite side}}{Hypotenuse}= \frac{BC}{AC}\)

sin(43)° = \(\frac{s}{26}\)

s = 26[sin(43)°]

s = 17.73

s ≈ 17.7

Similarly, by applying cosine rule in the given triangle,

cos(43)° = \(\frac{\text{Opposite side}}{Hypotenuse}= \frac{AB}{AC}\)

             = \(\frac{r}{26}\)

r = 26[cos(43)°]

r = 19.02

r ≈`19.0

Answer:

28.45.

Step-by-step explanation:

5 x 5.69

The average is 40 and  the margin of error is 10.95.

What is margin of error?

The margin of error is a statistic expressing the amount of random sampling in the result of a survey.

Average (A) = sum of all the value/ given set.

A = (51+ 41 + 28)/3 = 40

margin of error = 100/square root of 120 = 10.95.

Therefore, the average is 40 and  the margin of error is 10.95.

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Answer:

15 nickels and 13 dimes

Step-by-step explanation:

5n + 10d = 205 cents

n + d = 28

n = 28-d

5(28-d) +10d = 205

140 -5d + 10d = 205

5d = 65

d = 13

n = 28-d = 28-13 = 15

5n = 5(15) = 75

10d = 10(13) = 130

75+130=205

Answer:

2

Step-by-step explanation:

\( - 5(4x - 2) = - 2(3 + 6x)\)

\(20x - 10 = 6 + 12x\)

\(8x = 16\)

\(x = 2\)

Answer:

x=2

Step-by-step explanation:

-5(4x-2)=-6-12x

-20x+10=-6x-12x

-8x=-16 | : (-8)

x= 2

Answer:

-25

Step-by-step explanation:

= 2*(2) - 28 - 1

= 4 - 29

= -25

Given:-

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Solution:-

\( \: \)

\( \: \)

\( \: \)

\( \: \)

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hope it helps! :)

Answer:

Step-by-step explanation:

1. When the number of kilograms of paper is doubled, the points will be doubled

2. 300÷ 5 = 60

They have to collect 60 Kg of papers to earn 300 points.

3) P = 5*n

P = 5n

4) We are not only reducing the waste, the collected paper can be reused  or can be sent to recycling centers.

The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX

a. To prove B(x+1, y) = x * B(x, y), proceed as follows.

Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).

Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .

Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).

Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.

Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).

Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .

Substitute this formula in the previous step to get,

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)

= x * B(x, y)

You have now proved B(x+1, y) = x * B(x, y).

b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).

Integrate ∫[0, ∞] (x(2x-1) * Start with dx.

Evaluating this integral using the permutation u = du is obtained.

Simplify the integral to (1/2) * Γ(x + 1/2).

Express sin(πx) as π / (Γ(x) * Γ(1 - x)).

Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.

Substituting the equations,

The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *

We get * (π / (Γ(x) * Γ(1 - x)))) dx.

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Answer:

What are the following??

Step-by-step explanation:

Imma try to help tho

soo like 20$ per game and like 400 games

thats 20$*400=8,000 dollars

Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

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The solution to the system of inequalities in interval notation is [-2, 1].

Based on the information provided in the image below, we have the following system of inequalities;

-12 < 3x - 6

-3 ≥ 3x - 6

By adding 6 to both sides of the equation (inequality), we have;

-12 < 3x - 6

-12 + 6 < 3x - 6 + 6

-6 < 3x

-2 < x

x > -2 (flip)

-3 ≥ 3x - 6

-3 + 6 ≥ 3x - 6 + 6

3 ≥ 3x

1 ≥ x

x ≤ 1

Therefore, the solution to the system of inequalities is given by:

-2 < x ≤ 1

In interval notation, we have [-2, 1].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

x>1

Step-by-step explanation:

let's make this an inequality.

5-5x<0

let's solve.

-5x<-5

x>1

therefore, the value of x must be larger than 1 for this statement to make sense.

The value of x has to be greater than 1 in order for the expression to make sense.

Sample Output: Code to copy: //Import the required package. import java.util.Scanner; //Define the class Main. class Main { //Start the execution of the main() method.

Origin C is a programming language that is ANSI C compatible and also incorporates C++ and C# features. The majority of Origin objects can be accessed programmatically thanks to built-in C++ classes. The NAG C Library's extensive collection of numerical computational routines is also included.

C, a replacement for the programming language B, was initially created by Ritchie at Bell Labs between 1972 and 1973 to create utilities for Unix. It was used to re-implement the Unix operating system's kernel. C increasingly gained popularity in the 1980s.

import java.io.*;

import java.util.Scanner;

public class histogram

{

   public static void main(java.lang.String[] args)

   throws IOException

   {

       Scanner scan = new Scanner (System.in);

       final int min = 1;

       final int max = 10;

       final int limit = 10;

       int[] a = new int[max];

       for (int b = 0; b < a.length; b++)

       {

           a[b] = 0;

       }

       System.out.println("Enter Number between 1 and 100: \n (Or press 0 to stop)");

       int number = scan.nextInt();

       while (number >= min && number <= (limit*max) && number != 0)

       {

           a[(number-1)/limit] = a[(number - 1 ) / limit] + 1;

           System.out.print("Please enter a value:");

           number = scan.nextInt();

       }

       System.out.println("\n__Histogram__");

       for (int y = 0; y < a.length; y++)

       {

           System.out.print("   " + (y * limit + 1) + " - " + (y + 1) * limit + "\t");

           return;

       }

       for (int z = 0; z < a[b]; z++)

       {

           System.out.print("*");

       }

       System.out.println(0);

   }

}

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Answer:

x = 11 or any number bigger than 10

Step-by-step explanation: