Mr. Kim borrows $3000 to pay for house repairs . The simple interest is 8% for one year.

Answer: BFCEDA i took the test and got it right

Step-by-step explanation:

The correct order of steps for copying the angle ABC is BFCEDA.

The process of copying an angle through construction involves ensuring that the distance between the two rays forming the angle is the same.

The steps which are required for copying the angle are:

Hence, the correct order of steps for copying the angle ABC is BFCEDA.

Find out more information about copying an angle here:

https://brainly.com/question/8589756

#SPJ3

The difference between depths in January and July is equal to C. 22 feet.

An absolute value function can be defined as a type of function that consist of an algebraic expression, which placed within absolute value symbols.

In order to determine the difference between depths, we would calculate the magnitude of the depth for each of the month.

For January, we have:

January depth = 25 - 5

January depth = 20 feet.

For July, we have:

July depth = 25 - 27

July depth = -2 feet.

Now, we can calculate the difference between depths in January and July:

Difference = 20 - (-2)

Difference = 20 + 2

Difference = 22 feet.

Read more on absolute value and depths here: https://brainly.com/question/28677524

#SPJ1

The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.

The above statement is True.

Eigenvalue:

An eigenvalue is a special set of scalar values ​​associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.

According to the Question:

If the geometric multiple of the eigenvalues ​​is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.

Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is

Ax = λx.

Learn more about Eigenvalue:

https://brainly.com/question/29749542

#SPJ4

Answer:

y = 4/5 x + 17

Step-by-step explanation:

(y-13)/(9-13) = (x-(-5)/(-10-(-5)

(y-13)/-4 = (x+5)(-10+5)

(-y+13)/4 = (x+5)/-5

(-y+13)/4 = (-x-5)/5

20 · (-y+13)/4 = 20 · (-x-5)/5

-5y + 65 = -4x - 20

-5y = -4x - 65 - 20

-5y = -4x - 85

5y = 4x + 85

y = 4/5 x + 85/5

y = 4/5 x + 17

The required percentage of regular grade gasoline are;

a) 34%

b) 95.5%

c)4.5%

(a) To determine the percentage of regular grade gasoline sold between $3.25 and $3.65 per gallon, we need to find the proportion of the data that falls within this range. Assuming a bell-shaped distribution, we can use the standard deviation and mean to find the z-scores for these two prices, and then look up the cumulative probability in a standard normal table.

$3.25$ is $1$ standard deviation below the mean and $3.65$ is $0.5$ standard deviation above the mean.

Using a standard normal table, we find that approximately 68% of the data falls within one standard deviation of the mean, and approximately 34% falls between $-0.5$ and $0.5$ standard deviations.

Therefore, approximately 34% of regular grade gasoline is sold between $3.25 and 3.65 per gallon.

(b) To find the percentage of regular grade gasoline sold between $3.25 and $3.85 per gallon, we need to find the cumulative probability for the range $3.25$ to $3.85$.

$3.85$ is $1.5$ standard deviations above the mean.

Using a standard normal table, we find that approximately 95.5% of the data falls within $1.5$ standard deviations of the mean.

Therefore, approximately 95.5% of regular grade gasoline is sold between $3.25 and $3.85 per gallon.

(c) To find the percentage of regular grade gasoline sold for more than $3.85 per gallon, we need to find the cumulative probability for values greater than $3.85$.

Using a standard normal table, we find that approximately 100% - 95.5% = 4.5% of the data falls above $1.5$ standard deviations from the mean.

Therefore, approximately 4.5% of regular grade gasoline is sold for more than $3.85 per gallon.

To know more about Percentage visit:

brainly.com/question/28269290

#SPJ4

Answer:

he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).

Step-by-step explanation:

If we consider m as 100 then the value of n comes to be 40, so it can be stated that m is 150% bigger than n

What is Percentage?

A percentage is a relative figure that represents the hundredth part of any amount. One percent (symbolised 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount.

Solution:

Let, m = 100 so, n = 40

Since, n is 60% smaller

To find: by what percentage m is bigger than n

So, it can be written as Difference / Initial Number * 100

60/40 * 100 = 150%

To learn more about Percentage from the given link

https://brainly.com/question/843074

#SPJ1

The largest number common to both sequences is 67.

The arithmetic sequence with first term 1 has a common difference of 6 is given by:-

1,7,13,19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79, 85, 91, and 97

The arithmetic sequence with first term 4 has a common difference of 7 is given by:-

4,11, 18, 25, 32, 39, 46, 53, 60, 67, 74, 81, 88, and 95.

I have written the sequence until 100 only.

Hence, the numbers common to both the arithmetic sequences are :-

25 and 67

Hence, the largest number common to both sequences is 67.

To learn more about arithmetic sequence, here:-

https://brainly.com/question/10396151

#SPJ4

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

The answers are 16 Ounces, 56 Ounces, 5 Cups, 4 Cups, 10 Cups, 6 Cups, 4 Cups, 10 Cups, 7 Pint, 10 Pint

Volume:  Volume is the measure of the 3-dimensional space occupied by matter, or enclosed by a surface, measured in cubic units. In the US customary system of measurement, the most common units of volume are cups, pints, quarts and gallons.

Given:

8 Ounces - 1 Cup

2 Cups - 1 Pint

2 Pints - 1 Quart

4 Quarts - 1 Gallon

Explanation:

1 Cup = 8 Ounces   then,

2 cups = 16 Ounces        (Multiplying both sides by 2)

7 cups = 56 Ounces       (Multiplying both sides by 7)

8 Ounces = 1 Cup

40 ounces = 5 Cups      (Multiplying both sides by 5)

32 ounces = 4 Cups      (Multiplying both sides by 4)

80 ounces = 10 Cups     (Multiplying both sides by 10)

1 Pint = 2 Cups

3 pints = 6 Cups           (Multiplying both sides by 3)

2 pints = 4 Cups            (Multiplying both sides by 2)

5 pints = 10 Cups            (Multiplying both sides by 5)

2 Cups = 1 Pint

14 cups = 7 Pint                (Multiplying both sides by 7)

20 cups = 10 Pint              (Multiplying both sides by 10)

Therefore, the answers are  16 Ounces, 56 Ounces, 5 Cups, 4 Cups, 10 Cups, 6 Cups, 4 Cups, 10 Cups, 7 Pint, 10 Pint.

To learn more about Volume visit : brainly.com/question/1578538

#SPJ9

Answer:

1.) 1/4

2.) 5/12 i am not sure about this one

Step-by-step explanation:

1.) Chance of tales:

Chance of even number: 3/6 or 1/2

Multiply: (1/2)(1/2) = 1/4

Answer:

Because they are in the ratio 2:3 we'll call red and blue paint 2x and 3x respectively. We know that there are 15 liters of blue paint which means that 3x = 15. Solving for x we get x = 5. Since red paint is denoted by 2x it would be 2 * x = 2 * 5 = 10.

Answer:

10 liters

Step-by-step explanation:

Red : Blue

2          3

We want 15 blue liters

15/3 = 5

Multiply each term by 5

Red : Blue

2*5      3*5

10 :    15

The amount of money returned as interest depends on the initial

amount, the interest rate and the number of years.

Response:

Given:

The return on investment = $6,336

Amount the Certificate of Deposit pays = 4.4% simple interest

The initial investment (the principal), P= $16,000

Required:

The duration the initial amount of money had been invested.

Solution:

Interest = Principal × Rate × Time

Which gives;

\(Time = \mathbf{ \dfrac{Interest }{ Principal \times Rate}}\)

Therefore;

\(Length \ of \ time \ of \ the \ investment = \mathbf{ \dfrac{\$6,336}{\$16,000 \times 0.044(/year)}} = 9\)

Learn more about simple interest here:

https://brainly.com/question/22943790

Answer: 9 years

Hope this helps.

Answer:

B-(x-1)

Step-by-step explanation:

The best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.

When a triangle is reflected over the y-axis, its vertices swap their x-coordinates while keeping their y-coordinates the same. Let's consider the points F and F' on the reflected triangle.

The line connecting F to F' is the vertical line on the y-axis because the reflection over the y-axis does not change the y-coordinate. The y-axis itself is also a vertical line.

Since both the line connecting F to F' and the y-axis are vertical lines, they are perpendicular to each other. This is because perpendicular lines have slopes that are negative reciprocals of each other, and vertical lines have undefined slopes.

Therefore, the best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.

for such more question on perpendicular

https://brainly.com/question/18991632

#SPJ8

The Gap for TestBank is $200 million. If interest rates decline by 2%, the change in bank profits can be calculated based on the Gap and the rate-sensitive assets and liabilities.

The Gap is a measure of the difference between rate-sensitive assets and rate-sensitive liabilities for a bank. In this case, TestBank has rate-sensitive assets of $400 million and rate-sensitive liabilities of $200 million. To calculate the Gap, we subtract the rate-sensitive liabilities from the rate-sensitive assets:

Gap = Rate-sensitive assets - Rate-sensitive liabilities

    = $400 million - $200 million

    = $200 million

This means that TestBank has a Gap of $200 million.

When interest rates decline by 2%, it generally leads to an increase in the value of rate-sensitive assets and a decrease in the value of rate-sensitive liabilities. As a result, TestBank's rate-sensitive assets would increase in value, while its rate-sensitive liabilities would decrease in value.

The change in bank profits can be estimated by multiplying the Gap by the change in interest rates. In this case, the change in interest rates is a decline of 2%. Therefore, the change in bank profits would be:

Change in bank profits = Gap * Change in interest rates

                            = $200 million * (-2%)

                            = -$4 million

Hence, if interest rates decline by 2%, TestBank's profits would decrease by $4 million.

Learn more about Interest rate

https://brainly.com/question/28236069?referrer=searchResults

#SPJ11

Answer:

6072.444

Step-by-step explanation:

x = 5,500(1+0.02)^5

If you start with 150 bacteria micrograms, the colony would have 1,343.61756 bacteria after 8 days.

We solve this problem using our understanding of the rules of calculating percentages. We have been given the condition that bacteria colonies increase by 73% after every 2 days.

So, starting with 150 bacteria,

after 2 days we'll be having

150+ (73% of 150) bacteria

i.e. 150 + (0.73×150)

=150 + 109.5

=259.5 bacteria

and after 4 days the no. will be,

259.5 + (0.73×259.5)

=259.5 + (189.435)

=448.935 bacteria

similarly after 6 days,

448.935 + (0.73×448.935)

=448.935 + (327.722)

=776.65755 bacteria

and finally after 8 days,

=776.65755 + (0.73×776.65755)

=776.65755 + 566.960012

=1,343.61756 bacteria

Learn more about percentages on

https://brainly.com/question/28269290?referrer=searchResults

#SPJ4

The space would cost at, $833.34 per month.

:: Total area = 1000 square feet

:: Cost per feet per year = $10

Therefore,

Total cost per year would be, equal to the product of total area and cost per unit area per year.

That is,

Total cost per year = 1000 x $10

That is, $10,000.

Now, we know, there are 12 months in an year.

So, cost per month is, ( total cost per year / 12 )

That is, therefore,

Cost per month = ($10,000 / 12)

Which equals to, $833.34 per month. (rounded off)

So,

The space cost at, $833.34 per month.

Read more about similar problems on division at:

https://brainly.com/question/25109150

The space cost you $833.33. per MONTH

To calculate the monthly cost, we first need to determine the annual cost of the space.

Given that the cost is $10 per square foot per year, we know, there are 12 months in an year and the space is 1,000 square feet, the annual cost of the space would be:

Annual cost = the space  * cost

Annual cost = 1,000 square feet * $10/square foot = $10,000

To convert this to monthly cost, we divide the annual cost by 12 (the number of months in a year):

Monthly cost = $10,000 / 12 = $833.33

Therefore, the monthly cost of the 1,000 square feet of space in the new building would be $833.33.

Learn more about cost at https://brainly.com/question/23412892

#SPJ11

A linear combination of unbiased estimator is also an unbiased estimator.

Given that at1 (1 − a)t2 is an unbiased estimator, then it follows that at1 (1 − a)t2 is also an unbiased estimator.

Linear combination means adding the estimator values.

An estimator is a numerical value calculated from a sample of data.

Thus, if there are two unbiased estimators, say X1 and X2, the linear combination of X1 and X2, denoted as c1X1 + c2X2, is an unbiased estimator.

An unbiased estimator is an estimator with a zero bias. An estimator is said to be unbiased if its expected value is equal to the true value of the parameter. In other words, an estimator is unbiased if it doesn't systematically overestimate or underestimate the true value of the parameter. The expected value of an estimator is denoted as E(θ).

The proof that at1 (1 − a)t2 is also an unbiased estimator for θ is as follows:

First, we need to know the expected value of at1 (1 − a)t2.

This is because the expected value of an estimator is equal to the true value of the parameter.

Hence, E(at1 (1 − a)t2) = θ.Next, we need to show that the estimator is unbiased.

That is, E(at1 (1 − a)t2) = θ.

Using the distributive property of multiplication, we have

at1 (1 − a)t2 = at1t2 − a2t12.

Then,

E(at1 (1 − a)t2) = E(at1t2 − a2t12) = E(at1t2) − E(a2t12)

Since at1t2 and a2t12 are independent random variables, we can use the linearity of the expected value to get

E(at1t2) − E(a2t12) = aE(t12) − a2E(t12) = (a − a2)E(t12).

Since a ∈ [0, 1], then a − a2 is also non-negative.

Therefore, E(at1 (1 − a)t2) = (a − a2)E(t12) ≥ 0.

Therefore, at1 (1 − a)t2 is an unbiased estimator for θ.

Let us know more about linear combination : https://brainly.com/question/30888143.

#SPJ11

Answer:

X = 42.38 approximate to 42.4

Step-by-step explanation:

You can solve x by using cos(43°)

Cos (43°) = 31/X

Cos (43°) ×X = 31

X = 31/ Cos(43°)

X = 42.38 approximate to 42.4

Answer:

Yes

Step-by-step explanation:

Answer:

Answer is each large drink $1.25

Answer: It costs $1.25 for one large drink

Step-by-step explanation: 17.25-13.50=3.75   3.75/3=1.25

The velocity of the particle at time t is given by v(t) = (2t² + 1)i + (3t² - 1)j + (tk + 1)k, where t is the time. It represents the motion of the particle in three-dimensional space.

To find the velocity of the particle at time t, we need to integrate the acceleration vector with respect to time.

To find the velocity vector v(t), we integrate each component of the acceleration vector:

∫a(t) dt = ∫(4ti + 6tj + k) dt

Integrating each component separately:

∫(4ti) dt = 2t²i + C₁

∫(6tj) dt = 3t²j + C₁

∫k dt = tk + C₃

where C₁, C₂, and C₃ are constants of integration.

Combining the integrals, we have:

v(t) = (2t² + C₁)i + (3t² + C₂)j + (tk + C₃)k

Given that v(0) = i - j + k, we can substitute t = 0 into the velocity equation:

v(0) = (2(0)² + C1)i + (3(0)² + C₂)j + (0k + C₃)k

i - j + k = C₁i + C₂j + C₃k

Comparing the coefficients, we get:

C₁ = 1

C₂ = -1

C₃ = 1

Substituting these values back into the velocity equation:

v(t) = (2t² + 1)i + (3t² - 1)j + (tk + 1)k

Therefore, the velocity of the particle at time t is given by:

v(t) = (2t² + 1)i + (3t² - 1)j + (tk + 1)k

To know more about velocity of the particle refer here :    

https://brainly.com/question/28609643#

#SPJ11              

Answer:

24

Step-by-step explanation:

12*2=2

2.4 rounds down

The two values of k for which y(x) = \(e^kx\)is a solution of the differential equation y'' - 7y' + 6y = 0 are k = 1 and k = 6.

To find the values of k for which y(x) = \(e^kx\) satisfies the given differential equation, we need to substitute the solution into the equation and solve for k. Let's begin by differentiating y(x) twice.

Taking the first derivative, we have y'(x) = \(ke^kx\). Taking the second derivative, we get \(y''(x) = k^2e^kx.\)

Substituting these derivatives into the differential equation, we have \(k^2e^kx - 7ke^kx + 6e^kx = 0.\) We can factor out \(e^kx\) from this equation as a common factor.

\(e^kx(k^2 - 7k + 6) = 0.\)

Since \(e^kx\) is never equal to zero for any value of x, we can focus on the equation \((k^2 - 7k + 6) = 0\). We can factor this quadratic equation as (k - 1)(k - 6) = 0.

Setting each factor equal to zero, we find k = 1 and k = 6 as the two values that satisfy the equation.

Therefore, the values of k for which y(x) = \(e^kx\) is a solution of the differential equation y'' - 7y' + 6y = 0 are k = 1 and k = 6.

Learn more about differentiating here:

https://brainly.com/question/24062595

#SPJ11

Answer:

Step-by-step explanation:

Let's solve each problem one by one:

1. Adam has $2 and is saving $2 each day. Brodie has $8 and is spending $1 each day. After how many days will each person have the same amount of money?

Let's assume the number of days is represented by 'x'.

Adam's money after 'x' days = $2 + $2x

Brodie's money after 'x' days = $8 - $1x

To find the number of days when they have the same amount of money, we set up an equation:

$2 + $2x = $8 - $1x

Simplifying the equation:

$2x + $1x = $8 - $2

$3x = $6

x = $6 / $3

x = 2

Therefore, after 2 days, Adam and Brodie will have the same amount of money.

Answer: A. 5x + 4 = 3x - 2 (incorrect)

2. A number increased by 8 is equal to twice the same number increased by 7.

Let's represent the number by 'x'.

Equation: x + 8 = 2x + 7

Solving the equation:

x - 2x = 7 - 8

-x = -1

x = 1

Therefore, the number is 1.

Answer: D. x + 8 = 2x + 7 (correct)

3. Spot weighs 6 pounds and gains one pound each week. Buddy weighs 2 pounds and gains 2 pounds each week. After how many weeks will the puppies weigh the same?

Let's represent the number of weeks by 'x'.

Spot's weight after 'x' weeks = 6 + 1x

Buddy's weight after 'x' weeks = 2 + 2x

To find the number of weeks when they weigh the same, we set up an equation:

6 + 1x = 2 + 2x

Simplifying the equation:

x - 2x = 2 - 6

-x = -4

x = 4

Therefore, after 4 weeks, Spot and Buddy will weigh the same.

Answer: A. x + 6 = 2x + 2 (incorrect)

4. Five less than two times a number is equal to 4 less than the same number.

Let's represent the number by 'x'.

Equation: 2x - 5 = x - 4

Solving the equation:

2x - x = -4 + 5

x = 1

Therefore, the number is 1.

Answer: B. 2x - 5 = x - 4 (correct)

5. Ann has an empty cup and adds 1 ounce of water per second. Bob has 12 ounces of water and drinks 2 ounces per second. After how many seconds will they have the same amount of water?

Let's represent the number of seconds by 'x'.

Ann's water after 'x' seconds = 1x ounces

Bob's water after 'x' seconds = 12 - 2x ounces

To find the number of seconds when they have the same amount of water, we set up an equation:

1x = 12 - 2x

Simplifying the equation:

1x + 2x = 12

3x = 12

x = 12 / 3

x = 4

Therefore, after 4 seconds, Ann and Bob will have the same amount of water.

Answer: A. -2x + 12 = -x + 6 (incorrect)

6. Tom has

12 candies and eats 2 each minute. Sue has 6 candies and eats 1 every minute. After how many minutes will they have the same number of candies?

Let's represent the number of minutes by 'x'.

Tom's candies after 'x' minutes = 12 - 2x

Sue's candies after 'x' minutes = 6 - 1x

To find the number of minutes when they have the same number of candies, we set up an equation:

12 - 2x = 6 - 1x

Simplifying the equation:

-2x + 1x = 6 - 12

-x = -6

x = 6

Therefore, after 6 minutes, Tom and Sue will have the same number of candies.

Answer: A. -2x + 12 = -x + 6 (correct)