. If $240 is invested at an interest rate of 9% per year and is compounded monthly, how much will the investment be worth in 14 years?

Answer:

t = 1

Step-by-step explanation:

Bring the like term together.

16 - 9 = 5t + 2t

7 = 7t

t = 1

Answer:

t=1

Refer to the attachment

hope it helps

Answer:

Step-by-step explanation:

2 kilograms equals 2,000 grams

2,000 divided by 20 equals 100

Answer:100 cookies

Rolling-circle replication of plasmids proceeds in one direction from a single fixed origin

Explanation:

Rolling-circle replication of plasmids is a replication mechanism in which the replication process moves in one direction from a single fixed origin. Rolling-circle replication is a process that is often seen in circular plasmid DNA. It is a process that begins with an initiator protein, which is responsible for the nicking of a single DNA strand.The initiation point allows the helix to begin unwinding in one direction.

             As the DNA helix unwinds, replication is carried out in a continuous manner, and the helix is wound up behind it. During the replication process, a new strand is synthesized that is attached to the parent strand's 3' end.

                     Rolling-circle replication, on the other hand, is utilized to produce new plasmids that have a single strand, which can then be employed in other cells for the production of proteins or for research purposes.

To know more about plasmids :

https://brainly.com/question/29735179

#SPJ11

a) Since E is closed, its complement F\ E is contained in F, so the intersection of {U_i1, U_i2, ..., U_in} with E is still a finite subcover of E. Thus, E is compact.

b) The union of all these finite subcovers is a finite subcover of {U_i} that covers K, showing that K is compact.

(a) To show that E is compact, we need to show that any open cover of E has a finite subcover. Let {U_i} be an open cover of E. Since E is closed in F, its complement F\E is open in F. Thus, {U_i} and F\ E together form an open cover of F. Since F is compact, there exists a finite subcover {U_i1, U_i2, ..., U_in, F\ E}. Since E is closed, its complement F\ E is contained in F, so the intersection of {U_i1, U_i2, ..., U_in} with E is still a finite subcover of E. Thus, E is compact.

(b) Let K1, K2, ..., Kn be a finite collection of compact subsets of S. Let {U_i} be an open cover of their union K= K1∪ K2 ∪ ... ∪ Kn. Then each Ki is contained in K, so {U_i} is also an open cover of each Ki. Since each Ki is compact, there exists a finite subcover {U_i1, U_i2, ..., U_ik_i} of {U_i} for each Ki. Thus, we have a finite collection of sets {U_i1, U_i2, ..., U_ik_1}, {U_i1, U_i2, ..., U_ik_2}, ..., {U_i1, U_i2, ..., U_ik_n} that covers K1, K2, ..., Kn respectively. The union of all these finite subcovers is a finite subcover of {U_i} that covers K, showing that K is compact.

To learn more about intersection visit;

https://brainly.com/question/14217061

#SPJ11

Answer:

36

Step-by-step explanation:

Each function rule should be matched with the value that could not be a possible input for that function as follows;

A. "3 divided by the input" ⇒ 0.

B. "Add 4 to the input, then divide this value into 3" ⇒ -4.

C. "Subtract 3 from the input, then divide this value into 1" ⇒ 3.

In Mathematics and Geometry, a function refers to any mathematical equation which is typically used to define and represent a relationship that exists between two or more variables such as an ordered pair, points on a graph or table.

Note: Let the input value be x.

Based on the description of each function rule, we can logically deduce the following relationships between the input values and output values:

"3 divided by the input"

3/x ≠ 0.

"Add 4 to the input, then divide this value into 3"

3/(x + 4) ≠ 0.

x + 4 ≠ 0

x ≠ -4.

"Subtract 3 from the input, then divide this value into 1"

1/(x - 3) ≠ 0

x - 3 ≠ 0

x ≠ 3

Read more on function here: https://brainly.com/question/31048166

#SPJ1

Answer:

A) ( -7,-2)

Step-by-step explanation:

-3x + 6y = 9  ⇒ multiply by 5⇒(5) -3x + (5)6y = (5)9 ⇒ -15x + 30y = 45

5x + 7y = -49 ⇒ multiply by 3⇒3(5x) + (3) 7y = (3) -49 ⇒15x + 21y = -147

Add the two bold equations together and solve for y

15x + 30y = 45

-15x + 21y = -147

         51y =  -102  Divide both sides by 51

          \(\frac{51y}{51}\) = \(\frac{-102}{51}\)

            y = -2

Substitute -2 into either of the two original equation to solve for x.

-3x + 6y = 9

-3x + 6(-2) = 9

-3x - 12 = 9  Add 12 to both sides

-3x -12 + 12 = 9 + 12

-3X = 21  Divide both sides by -3

\(\frac{-3x}{-3}\) = \(\frac{21}{-3}\)

x = -7

Solution: (-7, -2)

Check:

-3x + 6y = 9

-3(-7) + 6(-2) = 9

21 -12 = 9

9 = 9 checks

5x + 7y = -49

5(-7) + 7(-2) = -49

-35 -14 = -49

-49 = -49 Checks

Option a. calculate a correlation coefficient is the right response because a correlation coefficient measures the strength and direction of the relationship between two interval level variables.

This is because a correlation coefficient measures the strength and direction of the relationship between two interval level variables. It provides a numerical value that ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation.

A scatter plot is also useful in visualizing the relationship between two variables, but it does not provide a numerical value like the correlation coefficient. A test of significance and variance calculation are not typically used as first steps in assessing the relationship between two variables.

Hence, option a. calculate a correlation coefficient is the correct answer.

Learn more about "correlation ":

https://brainly.com/question/4219149

#SPJ11

Answer:

C.) =

Step-by-step explanation:

the absolute value of 5 is 5, and the absolute value of -5 is 5, so they will be equal

Answer:

=

Step-by-step explanation:

The absolute value of a number is how far the number is from zero on a number line.

Both 5 and -5 are 5 units from zero on a number line, so

|5| = |-5| since |5| = 5 and |-5| = 5.

The area of this house in square meters is 152.24.

To convert square feet to square meters, you can use the conversion factor of 1 square foot = 0.092903 square meters.

A house is advertised as having 1640 square feet under the roof.

So, the area of the house in square meters is:

1640 square feet * 0.092903 square meters/square foot = 152.24 square meters.

Unit Conversion: It is defined as the changing from one quantity unit to another quantity unit followed by the method of division, and multiplication by a conversion factor.

Thus, the area of this house in square meters is 152.24 if the house is advertised as having 1640 square feet under the roof.

Learn more about the unit conversion here:

brainly.com/question/14350438

#SPJ4

Answer:

16 miles

Step-by-step explanation:

96 divided by 60 is 1.6, the car traveled 1.6 miles in 1 minute. 1.6 times 10 is 16, 16 miles in 10 minutes.

Answer:l think it's 6

Step-by-step explanation:

You 1/2×4×3

=6

The surface area of the triangular prism with given dimensions in the figure is equal to 144 square centimeters.

Surface area of the triangular prism

= Area of the two triangles + Area of the three rectangular faces

In triangles,

3, 4, 5 are Pythagorean triplets.

It is a right angled triangle.

Area of triangle

= ( 1/2) × base × height

= ( 1/2) × 4 × 3

= 6 cm²

Area of two triangles = 2 × 6

                                   = 12 cm²

Area of rectangle = length × width

Rectangle 1 ,

length = 11 cm , width = 5cm

Rectangle 2 ,

length = 11 cm , width = 4cm

Rectangle 3 ,

length = 11 cm , width = 3cm

Area of three rectangles = ( 3 + 4+ 5 ) × 11

                                         = 132 cm²

Surface area of the triangular prism = 12 + 132

                                                            = 144 square centimeters

Therefore, the surface area of the triangular prism is equal to 144 square centimeters.

learn more about surface area here

brainly.com/question/9354909

#SPJ1

Answer:

The translation corresponds to a translation of 13 units to the right

Step-by-step explanation:

Translation of a Graph

If the graph of

y=f(x) is translated a units horizontally, then the equation of the translated graph is

y =f(x - a)

The value of a is considered positive for translations to the right.

The parent function is

y = x

and the given function is

y = x - 13

The translation corresponds to a translation of 13 units to the right

We're looking for coefficients a, b, and c such that

f(t) = a sin(bt) + c

where t is time.

b represents the period of the sine wave. If the wheel makes 1 revolution every 1.6 seconds, then it has a period of 1.6 s/rev. 1 complete revolution is a turn of 2π radians, so the period is

1.6 s/rev × (1 rev)/(2π rad) = 4π/5 s/rad

The period of sin(bt) is 2π/b, so it follows that

2π/b = 4π/5   ⇒   b = 5/2 = 2.5

a represents the amplitude. Relative to the center of the wheel, the ant's vertical position would oscillate between -11 and 11 inches; this means the amplitude is a = 11.

c represents a vertical shift of the wave. We want the ant's position relative to the ground, not the wheel's center. So we shift the wave up by a constant c such that the lowest and highest points are 3 and 22 + 3 = 25 in above the ground, respectively. In other words, we pick c so that

-11 + c = 3

11 + c = 25

Either equation tells us that c = 14.

So, the equation for the sine wave is

f(t) = 11 sin(2.5t) + 14

Answer:

0.08, or 8%

Step-by-step explanation:

From 0.54 subtract 0.46.  This yields 0.08.  This tells us that 8% of customers would prefer to stay in a hotel.  We don't know how many customers there are altogether, so cannot answer with a specific number of customers, just this percentage.

Answer:

y=1/2x + 6

Step-by-step explanation:

Use point slope form

y-y1=m(x-x1)

y-5= 1/2 (x+2)

y-5= 1/2x + 1

y= 1/2x + 6

Answer:

3/4

Step-by-step explanation:

Answer:

.75

Step-by-step explanation:

Like and give 5 star rating

Answer:

Attached is the solution. Hope it helps!

Answer:

7?

........... .. .....

To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

To learn more about eigenvalues click here: brainly.com/question/29861415

#SPJ11

The height of the kite is approximately 84.8 feet.

A kite is flying on a string that is 90 feet long and is fastened to the ground at the other end.

The kite is flying above a point that is 30 feet away from where it is fastened on the​ ground. The height of the the can be found using Pythagoras's theorem.

Therefore,

c² = a² + b²

90² - 30² = b²

8100 - 900 = b²

b² = 7200

b = √7200

b = 84.8528137424

b = 84.8 ft

Therefore,

height of the kite = 84.8 ft

learn more on Pythagorean theorem here: https://brainly.com/question/14462303

#SPJ1

Answer

I believe it is the first answer

Step-by-step explanation:

You would have to multiply 30 by however many months he deposits money to find how much he has in he account at that time

Hope this helps

The function rule of the total amount T in the account after n months is

T = 30n + 58.

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount in the account = $58

Amount deposited each month = $30

The total amount after n months.

T = 58 + 30n

Thus,

The T = 30n + 58 is the total amount in the account after n months.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

B. 7 1/2

Step-by-step explanation:

8x=12

x = 1.5

2y+10=22

2y = 12

y = 6

1.5 + 6 = 7.5

So, the sum of the solutions of the two equations is

B. 7 1/2

Answer:

Step-by-step explanation:

firstly we solve 8x=12 we divide both sides by 8 since 8 is the coefficient of x so we are trying to find x that is 8x divided by 8 which is x =12 divided by 8 which is 1.5 which means x=1.5 then we solve the second one 2y+10=22 we collect like terms which means 2y=22-10 as you should know the 10 changes to negative when crossed over to the other side so then 2y=12 is the answer then we divide both sides by the coefficient of y which is 2 so 2y divided by 2 =y 12 divided by 2 = 6 so y=6 then we add both of them together x=1.5+(y=6) so add 1.5 and 6 together answer is 7.5 or 7  1/2

The statement that best describes how the manager can check if there is an association between the two variables is: D. The manager should check both relative frequencies by row and by column to look for an association.

In Mathematics and Statistics, a frequency table can be used for the graphical representation of the frequencies or relative frequencies that are associated with a categorical variable or data set.

Based on the frequency table, we can reasonably infer and logically deduce that the manager should check both relative frequencies by row and by column in order to determine whether or not there is an association.

Read more on frequency table here: brainly.com/question/20744563

#SPJ1

Missing information:

Which statement best describes how the manager can check if there is an association between the two variables?

A. The manager must check relative frequencies by row because there are more than two different promotions. B.The manager must check relative frequencies by column because there are more than two different promotions. C.The manager cannot use relative frequencies to look for an association because there are more than two different promotions. D. The manager should check both relative frequencies by row and by column to look for an association.