If 2/3=x/12, what is the vaule of x? a 4 b 8 c 18 d 24

Answer:

You will earn $483.55 in interest.

Step-by-step explanation:

The compound interest formula is given by:

\(A(t) = P(1 + \frac{r}{n})^{nt}\)

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$3,000 T - note with a 3% annual rate

This means that \(P = 3000, r = 0.03\)

Paid quarterly

Quarterly is 4 times per year, so \(n = 4\)

Maturity in 5 years.

This means that \(t = 5\)

How much interest will you earn?

Interest is the final amount subtracted by the principal.

Final amount:

A(5).

\(A(t) = P(1 + \frac{r}{n})^{nt}\)

\(A(5) = 3000(1 + \frac{0.03}{4})^{4*5}\)

\(A(5) = 3483.55\)

Interest:

$3,483.55 - $3,000 = $483.55

You will earn $483.55 in interest.

The python methods that can be used to perform simple linear regression on a data set are -  

A. linregress method from scipy module

C. ols method from statsmodels module

The linregress method from the module is the most simplest and effortless method for performing simple linear on the data set. It consists of two arrays one represents the independent variables and the second represents the dependent variables.

The relationship between two variables can be modeled using simple linear regression, where the first variable is treated as the independent variable and the other as the dependent variable. Finding the line of best fit that lowers the squared sum of the residuals is the goal.

To know more about Python -

brainly.com/question/29774343

#SPJ4

The answer is D because if we see the two graph, We can see that there is a reduction of the x values.

Answer:

Step-by-step explanation:

First, lets find the length of the third side

Now, lets get Tan A and Sin B

Correct option is B

Let x be the lowest number in set A. Since the numbers in set A are consecutive even numbers, we know that the next number in the set is x+2, the next is x+4, and so on. We are told that the sum of the six numbers in set A is 402, so we can set up the equation:

x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 402

We can simplify this equation by combining like terms:

6x + 30 = 402

6x = 372

x = 62

Now, we are told that the lowest number in set B is 15 less than double the lowest number in set A. Double the lowest number in set A is 2*62 = 124, so the lowest number in set B is 124-15 = 109. Since the numbers in set B are consecutive, we know that the next number in the set is 109+1 = 110, the next is 110+1 = 111, and the final number is 111+1 = 112.

The sum of the four numbers in set B can be found by adding them together:

109 + 110 + 111 + 112 = 442

The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

To know more about equation of line, visit,

https://brainly.com/question/18831322

#SPJ1

Answer:

man thats cool

Step-by-step explanation:

The investment amount is $37263.09.

Interest that compounded continuously to the principal amount. This interest rate provides exponential growth to period of time.

Formula of continuous compound interest rate;

P(t) = P₀ \(e^{rt}\) , where P₀ is the principal amount, r is the interest rate and t is the time period.

Given that the Alang is going to invest with the continuous compound interest rate 5.7%.

Using the formula of continuous compound interest rate,

P(t) = P₀ \(e^{rt}\)

P(t) = $113000 x    \(e^{(5.7)(5)}\)

P(t) = $37263.09

Therefore, the investment amount is $37263.09.

To learn more about the continuous compound interest;

https://brainly.com/question/18722165

#SPJ1

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

for such more question on volume

https://brainly.com/question/6204273

#SPJ8

Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

30x <= 240

Step-by-step explanation:

Answer:

X = 6. Give brainliest

Step-by-step explanation:

Solution:

x² - 36 = 0

or x² = 36

or x² = 6²

Therefore, the value of x is 6.

Answer:

x^2-36=0

x^2-36+36=0+36

x^2=36

x=√(36),x=-√(36)

√(36) → 6

-√(36) → -6

x=6,x=-6

Answer: I think 131

Step-by-step explanation:

The expression ∛(t⁴m²) / (m³t) in the simplified form will be written as \(\rm \frac{t^{1/3}}{m^{7/3}}\).

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ ∛(t⁴m²) / (m³t)

Simplify the expression, then we have

⇒ ∛(t⁴m²) / (m³t)

⇒ t∛(tm²) / (m³t)

⇒ ∛(tm²) / (m³)

Simplify the equation further, then we have

\(\rm \rightarrow \dfrac{\sqrt[3]{\rm tm^2} }{m^3}\\\\\rightarrow \dfrac{t^{1/3}m^{2/3}}{m^3}\\\\\rightarrow \dfrac{t^{1/3}}{m^{7/3}}\)

The expression ∛(t⁴m²) / (m³t) in the simplified form will be written as \(\rm \frac{t^{1/3}}{m^{7/3}}\).

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Answer:

bananas: 2480

plantains: 20

Step-by-step explanation:

equations:

b+p=2500

b=124p

just plug then in and solve

Answer:

20 plantains and 2480 bananas

Step-by-step explanation (b is bananas + p is plantains):

2500 = b+p

b=124*p

2500=(124*p)+p

2500=125p (divide by 125)

20=p

b=124(20)

b=2480.

20

Answer:

Step-by-step explanation:

24^2 + b^2 = 40^2

576 + b^2 = 1600

b^2 = 1024

b = 32

32

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = {c}^{2} \)

a= 24 , b= b , c=40

In order to find b, you have to change the equation a bit. Your new equation will look like \( {c}^{2} - {a}^{2} = {b}^{2} \)

here is the step by step now

\( {40}^{2} - {24}^{2} = {b}^{2} \)

\( {1600} - {576} = {b}^{2} \)

\( {1024} = {b}^{2} \)

**now you need to take the square root of both sides and you get 32**

Answer:

12 as. cm that's the answer

Answer:

22,873.35

Step-by-step explanation:

A=p+I where P(principal) = 18,000

I(interest) = 4,873.35

Answer:

A = 22,775

Step-by-step explanation:

A = amount after 6 years

P = 18,000

r = 4%  (in decimal = 0.04)

t = 6 years

A = 18,000 ( 1 + 0.04)^6

A = 22,775

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

To know more about slope , visit:

https://brainly.com/question/3493733

#SPJ1

Answer:

D

Step-by-step explanation:

sin  (  3pi / 4 )

 =  sin   (   pi   -   pi  /  4   )

 =  sin   (   pi / 4  )

 = 1/root(2)

  =  root(2) / 2

Answer: D. The total sample size is too large to apply the chi-square test for homogeneity.

Step-by-step explanation: When sampling without replacement, the sample size should not exceed 10 percent of the population size. Here, the sample size of 85 is just over 24 percent of the population of 350 company employees.

The total sample size is too large to apply the chi-square test for homogeneity.

We have given that,

A manufacturing company with 350 employees is  changing the employee health insurance plan to either plan A or plan B.

                         Plan A        Plan B        Total

yes(group 1)       40(32.5)   20(27.5)      60

No (group 2)      6 (13.5)     (11.5) 25       25

Total                   46             39              85

We have to find which statement is true,

Each sample unit of the population has only one chance to be selected in the sample. we can select one sample only way and after selection we cannot pot this sample in the sample space again.

The sample size should not exceed 10 percent of the population size.when we use sampling  without replacement,

Here, the sample size of 85 is just over 25 percent of the population of 350 company employees.

Therefore,the total sample size is too large to apply the chi-square test for homogeneity.

To learn more about the sample space replacement and without replacement visit:

https://brainly.com/question/17042101

The coordinate of point R after the rotation is determined as = ( - 4, 7).

option A.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.

When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.

The initial coordinate of point R = ( 4, 7),

The new coordinate of point R after the rotation = ( - 4, 7)

Learn more about rotation of figures here: https://brainly.com/question/13286537

#SPJ1

Using the normal distribution, it is found that:

a) The percentage of pregnancies lasting between 265 and 275 days is of 20.52%.

b) The longest 25% of the pregnancies last at least 276 days.

c) The distribution is approximately normal, with mean of 264 days and the standard deviation of 2.85 days.

d) The probability that the mean is less than 267 days is of 0.8531 = 85.31%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is given by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation of pregnancy lengths are given, respectively, by:

\(\mu = 264, \sigma = 18\)

The proportion between 265 and 275 is the p-value of Z when X = 275 subtracted by the p-value of Z when X = 265, hence:

X = 275:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (275 - 264)/18

Z = 0.61

Z = 0.61 has a p-value of 0.7291.

X = 265:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (265 - 264)/18

Z = 0.06

Z = 0.06 has a p-value of 0.5239.

0.7291 - 0.5239 = 0.2052 = 20.52% is the percentage.

The longest 25% of pregnancies last at least the 75th percentile, which is X when Z = 0.675, hence:

\(Z = \frac{X - \mu}{\sigma}\)

0.675 = (X - 264)/18

X - 264 = 0.675 x 18

X = 276 days.

For the sample of 40 women, the standard deviation is given as follows:

\(s = \frac{18}{\sqrt{40}} = 2.85\)

For item d, the probability is the p-value of Z when X = 267, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{267 - 264}{2.85}\)

Z = 1.05

Z = 1.05 has a p-value of 0.8531.

Assume that the duration of human pregnancies can be described by a normal model with a mean 264 days and a standard deviation 18 days.

a) What percentage of pregnancies should last between 265 and 275 days?

b) At least how many days should the longest 25% of all pregnancies last?

P(X> ___) =.25

c) Suppose a certain obstetrician is currently providing prenatal care to 40 pregnant women.Let y represent the mean length of their pregnancies. According to the central limit theorem, what is the mean and standard deviation SD(y) of the normal model of the distribution of the sample mean, y?

Mean =

SD(y)=

d) What is the probability that the mean duration of these patients' pregnancies will be less than 267 days?

P(y<276)=

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

Answer:

k = -55 x - 2 x^3

Step-by-step explanation:

Solve for k:

2 x^3 + 55 x + k = 0

Hint: | Solve for k.

Subtract 2 x^3 + 55 x from both sides:

Answer: k = -55 x - 2 x^3

3/2 is not a Root of this equation - see below, those are the Roots/Zeros.

Solve for x:

2 x^3 + 55 x + k = 0

Divide both sides by 2:

x^3 + (55 x)/2 + k/2 = 0

Change coordinates by substituting x = y + λ/y, where λ is a constant value that will be determined later:

k/2 + 55/2 (y + λ/y) + (y + λ/y)^3 = 0

Multiply both sides by y^3 and collect in terms of y:

y^6 + y^4 (3 λ + 55/2) + (k y^3)/2 + y^2 (3 λ^2 + (55 λ)/2) + λ^3 = 0

Substitute λ = -55/6 and then z = y^3, yielding a quadratic equation in the variable z:

z^2 + (k z)/2 - 166375/216 = 0

Find the positive solution to the quadratic equation:

z = 1/36 (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)

Substitute back for z = y^3:

y^3 = 1/36 (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)

Taking cube roots gives (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3)/6^(2/3) times the third roots of unity:

y = (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3)/6^(2/3) or y = -((-1)^(1/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3))/6^(2/3) or y = ((-1)^(2/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3))/6^(2/3)

Substitute each value of y into x = y - 55/(6 y):

x = (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3)/6^(2/3) - 55/(6^(1/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3)) or x = -(55 (-1)^(2/3))/(6^(1/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3)) - ((-1)^(1/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3))/6^(2/3) or x = (55 ((-1)/6)^(1/3))/(sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3) + ((-1)^(2/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3))/6^(2/3)

Bring each solution to a common denominator and simplify:

Answer: x = (6^(1/3) (sqrt(81 k^2 + 998250) - 9 k)^(2/3) - 55 6^(2/3))/(6 (sqrt(81 k^2 + 998250) - 9 k)^(1/3)) or x = -((-1)^(1/3) ((sqrt(81 k^2 + 998250) - 9 k)^(2/3) + 55 (-6)^(1/3)))/(6^(2/3) (sqrt(81 k^2 + 998250) - 9 k)^(1/3)) or x = ((-1)^(1/3) ((-1)^(1/3) (sqrt(81 k^2 + 998250) - 9 k)^(2/3) + 55 6^(1/3)))/(6^(2/3) (sqrt(81 k^2 + 998250) - 9 k)^(1/3))

Answer:

Step-by-step explanation:

(x + k) is a factor of f(x)

x+k=0 => x= -k;    -k is a root of f(x)

=> f(-k)=0

\((x + k) is a factor of f(x)x+k=0 = > x= -k; -k is a root of f(x)= > f(-k)=0\)

So the correct option is B.fl-k)=0.

The cube root function is f(x)=3√x f ( x ) = x 3 . A radical function is a function that is defined by a radical expression. The following are examples of rational functions: f(x)=√2x4−5 f ( x ) = 2 x 4 − 5 ; g(x)=3√4x−7 g ( x ) = 4 x − 7 3 ; h(x)=7√−8x2+4 h ( x ) = − 8 x 2 + 4 7 .

The root function is used to find a single solution to a single function with a single unknown. In later sections, we will discuss finding all the solutions to a polynomial function. We will also discuss solving multiple equations with multiple unknowns. For now, we will focus on using the root function.

Learn more about root function here: https://brainly.com/question/13136492

#SPJ2

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

thirty-three percent