Brooklyn is going to invest in an account paying an interest rate of 3.5% compounded continuously. How much would Brooklyn need to invest, to the nearest ten dollars, for the value of the account to reach $64o in 9 years?

Number of physics textbooks sold was 261 & number of maths textbooks sold was 199.

Let, the number of physics textbooks sold = x

According to the question,

The number of math textbooks sold was 62 less than the number of physics textbooks sold.

So, Number of maths textbooks sold = x-62

The textbook store sold a combined total of 460 physics and math textbooks in a week.

So, the equation becomes,

(x-62)+x = 460

⇒ x-62+x = 460

⇒ 2x-62 = 460

⇒ 2x = 460+62

⇒ 2x = 522

⇒ x = 522/2

⇒ x = 261

So, 261 physics textbooks were sold

(261-62) = 199 maths textbooks were sold.

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Answer:

volume of sphere =4/3×πr³=4/3×π×r³

Step-by-step explanation:

hope it is helpful to you

The equation y = x + 44 is not a good fit for the data because a residual plot with the data set indicates a bad fit. So, the correct answer is the equation is not a good fit because a residual plot with the data set indicates a bad fit

If a residual plot shows a clear pattern in the residuals, it indicates that the model or regression line may not be fitting the data well.

In other words, there may be a problem with the model fit, and further investigation is needed to improve the accuracy of the model.

Residual plots are important in regression analysis because they allow us to check the assumptions of the model and diagnose problems with the model fit.

They also help us identify outliers and influential data points, which can have a significant impact on the accuracy of the model.

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Answer:

1 . (3x) (2x) = 6x²

2 . (3x) (4) = 12x

3 . (2) (2x) = 4x

4 . (2) (4) = 8

= 6x² + 12x + 4x + 8

Answer - 6x² + 16x + 8

If I was right please mark me brainliest! (๑・ω-)～♥”

Answer:

\(\displaystyle m=1\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-3, -2)

Point (2, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

The probability is 2,010,580/13,378,456

Step-by-step explanation:

Here is a combination problem.

We want to 7 cards from a total of 52.

The number of ways to do this is 52C7 ways.

Also, we know there are 12 face cards in a standard deck of cards.

So we are selecting 3 face cards from this total of 12.

So also the number of cards which are not face cards are 52-12 = 40 cards

Out of all these 40, we shall be selecting exactly 4. The number of ways to do this 40C4

Thus, the required probability will be;

(40C4 * 12C3)/52C7 = (91,390 * 220)/133,784,560

= 20,105,800/133,784,560 = 2,010,580/13,378,456

Step-by-step explanation:

\( \frac{x}{6} = \frac{25}{5} \\ \)

\( \frac{x}{6} = \frac{5}{1} \\ \)

\(x = 30\)

Answer:

im not sour if this is what you want but i got 1.3 repeating

Step-by-step explanation:

u simplify in ur head

You know the following information given in the exercise:

- The vine is called the mile-a-minute weed.

- It can grow up to 0.25 inches per hour.

Then, you need to make the conversion from inches per hour to feet per day. Remember that:

Therefore, you get that the rate in feet per day is the following:

Hence, the answer is:

Answer:

4m = 56

Step-by-step explanation:

4 * m = 56

4m = 56

4/4m = 56/4

m = 14

Answer:

Step-by-step explanation:

sin²x + cos²x = 1 ⇒ cos²x = 1 - sin²x

\(\frac{cos^2x}{cos^2x}\) = 1

Answer:

Result = 124.6

Step-by-step explanation:

If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit. Example

124.58

The first number of right of decimal point is 5

The second digit after decimal point is 8 which is greater than 5

So add 1 to 5

Result = 124.6

To find the length of the third side of a right triangle when two sides are given, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's assume the two given sides are 'a' and 'b', and the unknown third side is 'c' (the hypotenuse).

Using the Pythagorean theorem:

c² = a² + b²

Substituting the given values:

c² = 4² + 5²

c² = 16 + 25

c² = 41

To find the length of 'c', we need to take the square root of both sides:

c = √41

So, the length of the third side is √41 (approximately 6.40) when rounded to two decimal places.

Therefore, the possible length of the third side of the right triangle is √41.

Step-by-step explanation:

We will use a phayragoras theorem

a^2 +b^2= c^2

let side1=4 be a

let side2=5 be b

let the 3rd side be the hypotnuous=c

therfore 4^2+5^2=c^2

=16+25=c^2

=41=c^2.

therfore c=√41

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

Answer:

9000

Step-by-step explanation:

Answer: D. minimizes the sum of the squared residuals

Step-by-step explanation: The ordinary least square method is often used in locating the trendine which best fits a graphical linear model. The best is one in which the sum of the squared residual is smallest. The residual refers to the difference between the actual and the predicted points. The sum of the squared differences is obtained and the trend line is positioned where the residual is minimum. Choosing a OLS, and minimizing the sum.of the squared residual, the error difference between the predicted and actual score is minimized or reduced, hence, improving the prediction accuracy of our model.

On solving the provided question we can say that so SAS, the are congruent triangles

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

we have to triangles

with angles as 30,60,90 and 60,60,90 respectively

and 2 sides of 7 cm each.

so SAS, the are congruent triangles

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Answer:

3

Step-by-step explanation:

You have to equate them so...

5v+2=8v-7

I hope this helps you!

Answer:

Step-by-step explanation:

Given:-

- The following system of equations is given:

                       \(6x_1 - 6x_2 -4x_3 = 0\\\\x_1 - 7x_2 -6x_3 = 0\\\\x_1 - 5x_2 -nx_3 = 0\\\)

Solution:-

- The matrix equation consists of coefficient matrix "A" and a variable matrix " x ". These two matrices undergo multiplication to yield a solution column vector "b".

- The matrix A, is a symmetrical square matrix with its elements representing the coefficients of each variable as follows:

            \(A = \left[\begin{array}{ccc}a_1_1&a_1_2&a_1_3\\a_2_1&a_2_2&a_2_3\\a_3_1&a_3_2&a_3_3\end{array}\right]\)

- Where the elements first subscript denotes the equation number and second subscript denotes the variable number.

             \(A = \left[\begin{array}{ccc}6&-6&-4\\1&-7&-6\\1&5&n\end{array}\right]\)

- Similarly, the variable matrix " X " is a column vector that lists all the variables in the the system of equations in a ascending order.

             \(X = \left[\begin{array}{c}x_1&x_2&x_3\end{array}\right]\)

- The solution vector " b " is the corresponding solution or any number written on the right hand side of the equals to sign " = " :

              \(b = \left[\begin{array}{c}0&2&-2\end{array}\right]\)

- Now, we can express the given system in the asked format:

            \(A*X = b\\\\\left[\begin{array}{ccc}6&-6&-4\\1&-7&-6\\1&5&n\end{array}\right]*\left[\begin{array}{c}x_1&x_2&x_3\end{array}\right] = \left[\begin{array}{c}0&2&-2\end{array}\right]\)

- The augmented matrix is a matrix that combines the coefficient matrix " A " and the solution vector " b ". A solution vector "b" as an extra column to the coefficient matrix:

            \([ A | b ]\\\\ \left[\begin{array}{ccccc}6&-6&-4&|&0\\1&-7&-6&|&2\\1&5&n&|&-2\end{array}\right]\)

- Now we will perform row reduction operation such that the system is consistent and has infinite number of solution.

- Row operation: R3 - R2 & R1/6

            \(\left[\begin{array}{ccccc}1&-1&-\frac{2}{3} &|&0\\1&-7&-6&|&2\\0&12&n+6&|&-4\end{array}\right]\)  

- Row operation: R2 - R1 & R3 / 12

            \(\left[\begin{array}{ccccc}1&-1&-\frac{2}{3} &|&0\\0&-6&-\frac{16}{3} &|&2\\0&1&\frac{n+6}{12} &|&-\frac{1}{3}\end{array}\right]\)

- Row operation: R2 / 6

           \(\left[\begin{array}{ccccc}1&-1&-\frac{2}{3} &|&0\\0&-1&-\frac{8}{9} &|&\frac{1}{3} \\0&1&\frac{n+6}{12} &|&-\frac{1}{3}\end{array}\right]\)

For the above system to be consistent and have infinite many solution then the coefficient of " x3 " for the 2nd and 3rd row must be equal:

           \(-x_2 - ( \frac{n+6}{12})*x_3 = \frac{1}{3}\)

           \(-x_2 - ( \frac{8}{9})*x_3 = \frac{1}{3}\)

The coefficient of " x_3 " must be equal:

           \(( \frac{n+6}{12}) = \frac{8}{9} \\\\\\\n = \frac{14}{3}\)

- The augmented matrix in reduced form becomes:

           \(\left[\begin{array}{ccccc}1&-1&-\frac{2}{3} &|&0\\0&1&\frac{8}{9} &|&-\frac{1}{3} \\0&0&0 &|&0\end{array}\right]\)

Answer: Rank = Number of non-zero rows = 2

- The number of linearly independent rows are equal to the rank of the augmented matrix.

Hence,

Answer: Number of linearly independent rows = 2

Row operation: R1 + R2

             \(\left[\begin{array}{ccccc}1&0&\frac{2}{9} &|&-\frac{1}{3} \\0&1&\frac{8}{9} &|&-\frac{1}{3} \\0&0&0 &|&0\end{array}\right]\)

- The variable "x_3" will take any arbitrary value for which the solution holds infinitely many solutions.

           \(x_2 + \frac{8}{9}*x_3 = -\frac{1}{3} \\\\x_2 = - ( \frac{8}{9}*x_3 + \frac{1}{3} )\\\\x_1 + \frac{2}{9}*x_3 = -\frac{1}{3} \\\\x_1 = - ( \frac{2}{9}*x_3 + \frac{1}{3} )\\\)

- Taking x_3 = α:

Answers:

           \(x_1 = -\frac{1}{3} + \frac{2}{9} \alpha \\\\x_2 = -\frac{1}{3} + \frac{8}{9} \alpha\)

Answer:

144.44

Step-by-step explanation:

C = 2(3.14) R

2(3.14) times 23

6.28 times 23

C = 144.44

Answer:

226.98

Step-by-step explanation:

area = pi *(22/7)*r

area= 3.14*(22/7)*23

area = 226.98

Answer:

B: 7t(8s - 3)

Step-by-step explanation:

Method 1: check by expanding each of them

A: 7(8st - 3t)=56st-21t

B: 7t(8s - 3)=56st-2t

C: 3t ( 18s - 7)=54st-21t

D: 7s ( 8t - 3t)=56st-21st

Method 2: the common factors of 56st and 21t is: 7t

56st/7t=8s

-21t/7t=-3

56st-21t=7t(8s-3)

Answer:

the answer is D

Step-by-step explanation:

Answer:

Your answer would be D

Step-by-step explanation:

:)

Answer:

Consider one of eight positions separately from all others. There are 10 possible ways to choose

a digit to place on this position since there are ten digits from 0 to 9, and this choice is

independent of all other positions since each digit can be repeated and there is no restriction on

how to choose digits.

So, we have 8 positions and each one is filled by a digit in 10 ways independently from each other,

therefore the total number of possible codes equals to ways it can be done for each independent

position multiplied altogether. This is 10 × 10 × … × 10 = 108

(100 million).

Answer: 108 different codes.

Step-by-step explanation:

The computation shows that 6 × 5000 = 3000.

Based on the information given, the steps to put in the box will be

Step 1. 6×5×1000

Step 2. 30×1000

Step 3. 30,000

Therefore, the computation shows that 6 × 5000 = 3000.

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Fill in the blanks to solve 6 x 5,000.

6 x 5,000

Step 1. 6 x 5 x __

Step 2. 30 x __

Step 3. __

Answer:

0.156

Step-by-step explanation:

P(A & B) = P(A) * P(B)

P(Yankess score less than 5 and lose) = P(score less than 5) * P(lose)

0.39 * 0.4 = 0.156