An amount was invested at

r%

per quarter. What value of

r

will ensure that accumulated

amount at the end of one year is 1.5 times more than amount invested? Correct to 2 decimal

places​

Answer:

10, 4, 8

Step-by-step explanation:

Let's start with 6...

We need to plug in 6 for y

y=x-4

6=x-4

x=10

Now we plug in 0 for y

y=x-4

0=x-4

x=4

Now we plug in 4 for y

4=x-4

x=8

Answer:

x = -2

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 5 and 6x from both sides of the equation:

8x (-6x) + 5 (-5) = 6x (-6x) + 1 (-5)

8x - 6x = 1 - 5

2x = -4

Isolate the variable, x. Divide 2 from both sides of the equation:

(2x)/2 = (-4)/2

x = -4/2

x = -2

x = -2 is your answer.

~

Answer:

The best estimate of each owner share is 296

Step-by-step explanation:

Now, we know that that the profit was shared equally and we have 13 recipients of the share

The best estimate for each owner’s share is to divide the amount shared in the month by the number of the recipients

That would be 3,849/13 = 296.08

This is best estimated as 296

The rate of change for the equation y - x = 10 is 1.

To find the rate of change for the equation y - x = 10, we need to determine how y changes with respect to x.

We can rewrite the equation as y = x + 10 by adding x to both sides.

Now, we can observe that the coefficient of x is 1. This means that for every unit increase in x, y will increase by 1. Therefore, the rate of change for this equation is 1.

In other words, as x increases by 1 unit, y will increase by 1 unit as well.

As a result, 1 represents the rate of change for the equation y - x = 10.

for such more question on rate of change

https://brainly.com/question/22455842

#SPJ8

20 times we can expect to spin a 5.

Option(B) is correct.

What is probability?

Probability is the branch of mathematics that deals with the likelihood of certain events happening.

A spinner is divided into equal sections, labeled 4 through 8, so there are 5 sections in total (4, 5, 6, 7, 8). If you spin the spinner 100 times, you would expect to spin a 5 on 1/5 of those spins, since there is one 5 section out of five total sections. Therefore, you would expect to spin a 5 100 times / 5 sections = 20 times.

Hence, 20 times we can expect to spin a 5.

To learn more about the probability, visit:

https://brainly.com/question/24756209

#SPJ1

To find the radius of the crystal ball, we can use the formula for the volume of a sphere: V = (4/3) * π * r^3, where V is the volume and r is the radius.

Given that the volume of the crystal ball is 113.14 cm³, we can solve for r:

113.14 = (4/3) * π * r^3

To find the radius, we can rearrange the equation:

r^3 = (3/4) * (113.14 / π)

r = (3/4) * (113.14 / π)^(1/3)

Using a calculator, we can evaluate the expression to find the approximate value of the radius.

To find the volume of foam required to fill the vacant space inside the box, we need the volume of the box. However, the dimensions of the box are not provided in the question, so we cannot calculate the volume of foam accurately.

Learn more about radius here;

https://brainly.com/question/13449316

#SPJ11

Answer: Its 6

Step-by-step explanation: The answer is 5.99894 then you round it to 6.

The radius of the bucket, to the nearest whole number, is 7 inches.

So, option A. is correct.

Here, we have,

To solve the formula v = πR²h for R, we can rearrange the equation as follows:

v = πR²h

R² = v / (πh)

R = √(v / (πh))

Given that the volume v is 615 cubic inches and the height h is 4 inches, we can substitute these values into the equation:

R = √(615 / (3.14 * 4))

Calculating the value, we have:

R ≈ √(48.98)

R ≈ 7

Therefore, the radius of the bucket, to the nearest whole number, is 7 inches.

Hence, So, option A. is correct.

To learn more on volume click :

brainly.com/question/1578538

#SPJ7

Answer: Um B and D are irrational numbers.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

1x5=5

2x5=10

As per the given correlation, the appropriate null and alternative hypothesis for calculating number of goggles is

H0 : No linear relation

H1 : there is a relation

What is meant by correlation?

In math, correlation is referred as a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate).

And it is a common tool for describing simple relationships without making a statement about cause and effect.

Based on the given question, a group of scientist randomly selected 20 piknits from the sea-floor and measured their respective weights in grams.

And we also know that, they wanted to know if the weight of the piknits can be used to predict the number of gogles.

Here from the given information, the null hypothesis : H0 : There is no linear relationship between the weight of piknits and the number of goggles

And the Alternative hypothesis : Ha: There is a linear relationship between the weight of piknits and the number of gogles

To know more about Correlation here

brainly.com/question/28898177

#SPJ4

We need at least 10 super taxis to transport 45 people without any mini taxis.

A taxi company has two types of taxis: "super" taxis and "mini" taxis. They have a group of 45 people who need transportation. Each super taxi can carry 5 passengers, and each mini taxi can carry 3 passengers. We can express this information as the inequality 5x + 3y > 45, where x and y represent the number of super taxis and mini taxis required, respectively.

To find the combination of the number of super taxis and mini taxis required to transport all 45 people, we can start by assuming the number of mini taxis required is zero. In this case, the inequality becomes 5x > 45 or x > 9. Therefore, we need at least 10 super taxis to transport 45 people without any mini taxis.

Next, we can check if we need any mini taxis. We calculate the number of people who still need transportation after allocating 10 super taxis, which is 45 - 10 x 5 = 45 - 50 = -5. This means we have extra seats left in the super taxis, and no additional mini taxis are needed.

In conclusion, we need at least 10 super taxis to transport 45 people without any mini taxis.

Learn more about combination

https://brainly.com/question/31586670

#SPJ11

Answer:

2x to the 5th power

Answer:

Tell me about it..

Step-by-step explanation:

Step-by-step

explanation:

math is hard because is hard

Answer:

I believe it's 24 combinations.

Step-by-step explanation:

I found how many there were when starting with English, and there were six. I multiplied this by four (for the four books) and found 24.

Hope this helps! Have a nice day :)

Answer:

24 ways

Step-by-step explanation:

English, biology, history, writing

English, history, writing, biology

English, writing, biology, history

English, biology, writing, history

English, history, biology, writing

English, writing, history, biology

||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

So there is going to be 6 different ways in every textbook you put in front, [amount of textbook (4)] x [different ways (6)] = 24 ways

btw there is a easier way of doing this but i forgot ;-;

Given the expression:

To factor the given expression, we need two numbers the product of them = 100 and the sum of them = 20

We will factor the number 100

100 = 1 x 100 ⇒ 1 + 100 = 101

100 = 2 x 50 ⇒ 2 + 50 = 52

100 = 4 x 25 ⇒ 4 + 25 = 29

100 = 5 x 20 ⇒ 5 + 20 = 25

100 = 10 x 10 ⇒ 10 + 10 = 20

So, the suitable numbers are 10, 10

so, the factorization will be as follows:

The given expression is a complete square.

So, the answer will be (u+10)(u+10)

Or can be written as (u+10)²

Answer:

5.4

Step-by-step explanation:

5^2+2^2=x^2

25+4+x^2

29=x^2

square root of 29 and 2

5.385 rounded to 5.4

Answer:

1,9

Step-by-step explanation:

Answer: approximately 6.1 feet

Step-by-step explanation:

1 feet = 30.48 cm

185/30.48 = approx 6.1 feet

exact value = 6.06955380577

Answer:

E

Step-by-step explanation:

Here, we want to find the area of the shaded portion on the graph.

That would be P(-1.2<z<0.85)

we complete this by checking these values on the standard score table as follows;

P( z< 0.85) - P(z<-1.2) = 0.68727

The linear equation parallel to 8y=6x+5  is:

y = (3/4)*x - 4

Remember that two linear equations are parallel if and only if both lines have the same slope and different y-intercept.

Here we want to find a line parallel to:

8y = 6x + 5

Rewriting this in slope-intercept form we get:

y = (6x + 5)/8

y = (3/4)*x + 5/8

Then a parallel line to this one will be:

y = (3/4)*x + b

To find the value of b, we use the fact that this line must pass through the point (-8, -10).

-10 = (3/4)*(-8) + b

-10 = -6 + b

-10 + 6 = b

-4 = b

Then the linear equation is:

y = (3/4)*x - 4

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

Read more about simple mathematical equation-solving problems on

https://brainly.com/question/17618820

a. Scatter plot: we can use the Years as the x-axis and Damage as the y-axis.

b. Regression line equation: y = -2.2909 + 1.3636x.

c. Scatter plot with regression line: [Insert scatter plot with regression line here].

d. Correlation coefficient: r ≈ 0.949.

e. Sum of squared deviations (SSD): SSD ≈ 170.94.

Prediction for a person who has smoked for 30 years: Predicted percentage of lung damage ≈ 38.963%.

a. To create a scatter plot, we can use the Years as the x-axis and Damage as the y-axis. Below is the resulting scatter plot.

b. To determine the equation of the best-fit regression line, we can use the formula y = a + bx, where a is the y-intercept and b is the slope. The values of a and b can be calculated using the following formulas:

b = (n∑xy - ∑x∑y) / (n∑x^2 - (∑x)^2)

a = (∑y - b∑x) / n

Here, n represents the sample size, ∑x, and ∑y are the sums of the x and y values, and ∑xy and ∑x^2 are the sums of the products and squares of the x and y values, respectively.

After performing the necessary calculations, we find:

b = (7(1924) - (173)(262)) / (7(642) - (173)^2) ≈ 1.3636

a = (176/7) - (1.3636/7)(118) ≈ -2.2909

Therefore, the equation of the regression line is y = -2.2909 + 1.3636x.

c. We can plot the regression line on the scatter plot. Here is the updated scatter plot with the regression line:

d. The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and +1 indicates a perfect positive correlation.

The formula for the correlation coefficient is:

r = (n∑xy - ∑x∑y) / √[(n∑x^2 - (∑x)^2)(n∑y^2 - (∑y)^2)]

After performing the calculations, we find:

r = (7(1924) - (173)(262)) / √[(7(642) - (173)^2)(7(2878) - (176)^2)] ≈ 0.949

Therefore, the correlation coefficient is r ≈ 0.949.

e. The sum of squared deviations (SSD) is a measure of the variation around the regression line. The formula for SSD is:

SSD = Σ(yi - yi)^2

where yi is the observed value and yi is the predicted value.

After substituting the values, we find:

SSD = (20 - 15.3)^2 + (14 - 9.1)^2 + (54 - 39.8)^2 + (63 - 59.6)^2 + (17 - 11.8)^2 + (71 - 67.1)^2 + (23 - 18.4)^2 ≈ 170.94

Therefore, the SSD is approximately 170.94.

To predict the percentage of lung damage for a person who has smoked for 30 years, we can substitute x = 30 into the regression equation:

y = -2.2909 + 1.3636(30) ≈ 38.963

Therefore, the predicted percentage of lung damage for a person who has smoked for 30 years is approximately 38.963%.

Learn more about the correlation coefficient

https://brainly.com/question/29704223

#SPJ11

\(y = -x + 5\) is the equation of a line through the location \((2,3)\) and parallel to a line \(x+y=4\).

A express can be composed of an integer, a steady, or a combination of integers, variables, and action symbols. Two expressions joined by an assignment operator form an equation.

Balance is algebra's fundamental principle. Everything on one half of the assignment operator in an equation must equal anything that is on the opposite side of the integrand. Keeping that in heart, we have complete control over an equation.

For the equation \(x + y = 4\)

Rewrite the equation in the form \(y = mx + c\)

\(y = -x + 4\)

Compare \(y = -x + 4\) with \(y = mx + c\)

The slope, \(m = -1\)

The equation parallel to \(x + y = 4\) will also have a slope, \(m = -1\)

The line passes through the point \((2, 3)\)

That is, \(x_{1} = 2, y_{1} = 3\)

The point-slope form of the equation of a line is:

\(y - y_{1} = m(x - x_{1} )\)

Substitute \(x_{1} = 2, y_{1} = 3\) into \(y - y_{1} = m(x - x_{1} )\)

\(y - 3 = -1(x - 2)\)

\(y - 3 = -x + 2\)

\(y = -x + 2 + 3\)

\(y = -x + 5\)

The equation of the line that passes through the point \((2,3)\) and is parallel to the line\(x+y=4\) is \(y = -x + 5\)

To know more about equation visit:

https://brainly.com/question/10413253

#SPJ1

The Complete question is:

What is an equation of the line that passes through the point (2,3) and is parallel to the line x+y=4

Answer:

31:150

Step-by-step explanation:

First of all we convert the hours into minutes:

5×60=300

which gets us 42:300, which we can simplify to:

31:150

and is 31 is prime and 150 can't be divided into it without a remainder, it is in it's simplest form and it is the answer.

Answer:

7:50

Step-by-step explanation:

The ratio:

 42 min

-------------- can be rewritten in the equivalent

  5 hours

 42 min

--------------- = 42/300 = 7/50 or 7:50

300 min

Answer:

The answer to this question is 97.5

Step-by-step explanation:

A= 15x13/2=97.5

Answer:

18-15

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Plug in: d = 9, e = 5

(9)2 - 3(5)

9 x 2 = 18

-3 x 5 = -15

18 - 15 = 3

Answer:

b) 18

Step-by-step explanation:

600 - 150 = 450

25x = 450

x = 18

check

25 x 18 = 450

450 + 150 = 600

Maybe one reason people who work in the pentagon never seem to agree on anything is that there are five sides to every story

The equation of line B is y = (1/5)x + 0, which can be simplified to y = (1/5)x.

An equation is a statement that shows the equality between two expressions. It typically contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, exponentiation, or roots. An equation can be solved by finding the value(s) of the variable(s) that make the equation true. Equations are used extensively in mathematics, science, engineering, and other fields to describe relationships between different quantities and to make predictions or solve problems.

Here,

Since line B is perpendicular to line A, the product of their gradients is -1. Therefore, the gradient of line B is 1/5.

a) To find the y-intercept of line B, we need to know a point on the line. Since we don't have one, we can use the fact that the y-intercept is the point where the line intersects the y-axis. To find this point, we can set x = 0 in the equation of line B:

y = (1/5)x + c

0 = (1/5)(0) + c

c = 0

Therefore, the y-intercept of line B is (0,0).

b) The equation of line B is y = (1/5)x + 0, which can be simplified to y = (1/5)x.

To know more about equation,

https://brainly.com/question/2228446

#SPJ1

Answer:

1120 super easy

Step-by-step explanation:

8x10=80

80x14=1120