MATHEMATICS
MIDDLE SCHOOL

A. 6(k + s)

B. s(6 + k)

C. k(6 + s)

D. k · (6 + k) · s

Answer: A. 6(k + s)

It's the distributive property.

It's the distributive property.

Answer: K*6+k*s= C. K(6+s) U have to multiply both the 6 and the s by k so u brother g the k to one side

MIDDLE SCHOOL

The teacher of a seventh-grade class flipped a coin 100 times. The students recorded the results in the table shown below: Side of Coin Landed On Heads Tails

Number of Flips 52 48

Which of the following best describes the experimental probability of getting tails?

A) The experimental probability is 2% lower than the theoretical probability.

B) The experimental probability is the same as the theoretical probability.

C)The experimental probability is 2% higher than the theoretical probability.

D)The experimental probability cannot be concluded using the data in the table.

Answer:

A) The experimental probability is 2% lower than the theoretical probability.

Step-by-step explanation:

Answer:

The answer would be A.

Step-by-step explanation:

HIGH SCHOOL

1. Suppose you invest $5010 at an annual interest rate of 6.4% compounded continuously. A.) Write an equation to model this. B) How much money will you have in the account after 2 years? 2. Suppose you invest $100 at 6% annual interest. Calculate the amount of money you would have after 1 year if the interest is compounded:

A.) quarterly.

B.) monthly.

C.) daily.

3. Suppose you deposit $100,000 in an account today that pays 6% interest compounded annually. Write an equation to determine how long it will take before the amount in your account is $500,000 (Note: you only have to write the equation).

I need help because I'm stuck.

To solve our problems, we are going to use the formula for compounded interest:

where

is the final amount after years

is the initial amount

is the interest rate in decimal form

is the number of times the interest is compounded per year

is the time in years

1. A) We know for our problem that the initial investment is $5010, so . We also know that the interest rate is 6.4%. To express the interest in decimal form, we are going to divide it by 100%: . Since the interest is compounded continuously, it is compounded 365 times per year; therefore, . Lets replace those values in our formula:

We can conclude that the equation that model this situation is

B. To find the amount of money you will have after 2 years, we are going to replace with 2 in the equation from point A:

We can conclude that after 2 years you will have $5694.06 in your account.

2. We know for our problem that , , and .

A. Since the interest is compounded quarterly, it is compounded 4 times per year; therefore, . Lets replace the values in our formula:

We can conclude that after a year you will have $106.14 in your account.

B. Since the interest is compounded monthly, it is compounded 12 times per year; therefore, . Lets replace the values in our formula:

We can conclude that after a year you will have $106.17 in your account.

C. Since the interest is compounded daily, it is compounded 365 times per year; therefore, . Lets replace the values in our formula:

We can conclude that after a year you will have $106.18 in your account.

3. We know for our problem that the initial investment is $100,000, so . We also know that the final amount will be $500,000, so . The interest rate is 6%, so . Since the interest rate is compunded anually, it is compounded 1 time per year; therefore, . Lets replace the values in our formula and solve for :

We can conclude that is the equation to determine how long it will take before the amount in your account is $500,000

As a bonus:

We can conclude that after 27.6 years you will have $500,000 in your account.

where

is the final amount after years

is the initial amount

is the interest rate in decimal form

is the number of times the interest is compounded per year

is the time in years

1. A) We know for our problem that the initial investment is $5010, so . We also know that the interest rate is 6.4%. To express the interest in decimal form, we are going to divide it by 100%: . Since the interest is compounded continuously, it is compounded 365 times per year; therefore, . Lets replace those values in our formula:

We can conclude that the equation that model this situation is

B. To find the amount of money you will have after 2 years, we are going to replace with 2 in the equation from point A:

We can conclude that after 2 years you will have $5694.06 in your account.

2. We know for our problem that , , and .

A. Since the interest is compounded quarterly, it is compounded 4 times per year; therefore, . Lets replace the values in our formula:

We can conclude that after a year you will have $106.14 in your account.

B. Since the interest is compounded monthly, it is compounded 12 times per year; therefore, . Lets replace the values in our formula:

We can conclude that after a year you will have $106.17 in your account.

C. Since the interest is compounded daily, it is compounded 365 times per year; therefore, . Lets replace the values in our formula:

We can conclude that after a year you will have $106.18 in your account.

3. We know for our problem that the initial investment is $100,000, so . We also know that the final amount will be $500,000, so . The interest rate is 6%, so . Since the interest rate is compunded anually, it is compounded 1 time per year; therefore, . Lets replace the values in our formula and solve for :

We can conclude that is the equation to determine how long it will take before the amount in your account is $500,000

As a bonus:

We can conclude that after 27.6 years you will have $500,000 in your account.

MIDDLE SCHOOL

Find the midpoint between (-4, -2) and (-10, -4)

The midpoint between (-4, -2) and (-10, -4) is (-7, -3).

Step-by-step explanation:

Given points are;

(-4, -2) and (-10, -4)

Midpoint =

Midpoint=

The midpoint between (-4, -2) and (-10, -4) is (-7, -3).

Keywords: midpoint, addition

Learn more about addition at:

- brainly.com/question/9527422
- brainly.com/question/9381523

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MIDDLE SCHOOL

A small diagram in a textbook is 3 cm x 4 cm. The teacher takes the textbook to the copier to enlarge the diagram. If the teacher hits 150% in the copier, what are the new dimensions of the diagram after being copied?

Answer:

4.5 cm x 6 cm

Step-by-step explanation:

Notice that the 150% enlargement can be written as a fraction:

That gives us a clue about what value to multiply each side of the textbook by in order to obtain the new enlarged dimensions.

Therefore, the side which is 3 cm now becomes:

and the side which is 4 cm now becomes: