I need the coordinates of K asap

The annual appreciation of the coin from 1968 to 2019 was 6.7%. Hence the coin appreciated at a rate of 6.7% per year from 1968 to 2019.

In 2019, a coin was sold at auction for $4,120,500. The coin had a face value of $20 when it was first issued in 1786. The coin had been previously sold for $395,000 in 1968. At what price did the coin appreciate annually from 1968 to 2019? Solution:We can start this problem by using the compound interest formula which is given as follows;A = P (1+r/n)^(nt)Where:A is the future value of the investment;P is the principal investment;r is the annual interest rate;n is the number of times that interest is compounded per year;t is the number of years the money is invested.To solve the problem we will consider the following;We will use the initial price of the coin which was sold in 1968 which is $395,000 as the principal investment, PWe will use the price of the coin sold at auction in 2019 which is $4,120,500 as the future value of the investment, AWe will use the number of years between 1968 and 2019 which is 51 years as t.The interest rate is not given, but we can solve for it by substituting the known values into the formula as shown below;A = P (1+r/n)^(nt)=> 4,120,500 = 395,000 (1+r/1)^(1 x 51)=> (1+r) = (4,120,500/395,000)^(1/51)=> (1+r) = 1.067=> r = 1.067 - 1=> r = 0.067 = 6.7%Therefore the annual appreciation of the coin from 1968 to 2019 was 6.7%. Hence the coin appreciated at a rate of 6.7% per year from 1968 to 2019.



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Answer:

10cm

Step-by-step explanation:

Answer:

$ 7800

Step-by-step explanation:

P'(t) = 3t² + 10t + 6

\(P(t) = \int\limits^a_b {P'(t)} \, dt\)

For the 4th year, the limits are [3,4]

\(P(t) = \int\limits^4_3 {3t^2 + 10t + 6} \, dt\\\\= [\frac{3t^3}{3} + \frac{10t^2}{2} + 6t]^{^4}__{3}\\\\\)

\(=[\frac{3(4)^3}{3} + \frac{10(4)^2}{2} + 6(4)]-[\frac{3(3)^3}{3} + \frac{10(3)^2}{2} + 6(3)]\\\\=[\frac{3(64)}{3} + \frac{10(16)}{2} + 24]-[\frac{3(27)}{3} + \frac{10(9)}{2} + 18]\\\\= [64 + 5(16) + 24]-[27+5(9) + 18]\\\\= 168-90\\\\= 78\)

= $ 7800

Answer:

This system has no solutions.

Step-by-step explanation:

If we try to solve:

Since there are no x values left over and the remaining solution is zero, there is no solution for this equation.

Hope this helps!!

On day 1, each of the 5 people tells 2 more people, so 5 x 2 = 10 people now know the rumor, including the original 5.

a) How many people will learn about the rumour

a) Let's first consider how the number of people who know the rumor grows each day:

On day 0, 5 people know the rumor.

On day 1, each of the 5 people tells 2 more people, so 5 x 2 = 10 people now know the rumor, including the original 5.

On day 2, each of the 10 people tells 2 more people, so 10 x 2 = 20 people now know the rumor, including the original 5 and the 10 from day 1.

i) Therefore, on day 1, a total of 10 people will know the rumor.

ii) On day 2, a total of 20 people will know the rumor.

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I'm a little rusty lol but I believe that is C, the distributive property.

Answer:

Distributive Property

Step-by-step explanation

You first ditribute the 6 to the 4x and -1.

Answer:

16

Step-by-step explanation:

h(x)=3x-2 in (0,7)

h(6)=3(6)-2=18-2=16

The center and the radius by completing the square of the given equation of circle is x² + y² - 32x+24y +396 = 0 is C( -16, 12) and radius is 2.

The equation of the circle is given as x² + y² - 32x+24y +396 = 0.

Comparing the given equation with general equation of circle, x² + y² + 2gx + 2fy + c = 0.

The center of circle is C = (-g, -f)

The radius of circle is r = √g² + f² - c

Therefore, from the given equation,

2g = -32

g = -16

2f = 24

f = 12

C( -16, 12)

And the radius is

r = √(-16)² + (12)² - 396

= √256 + 144 -396

=√4

= 2

Hence, the center and the radius by completing the square of the given equation of circle is x² + y² - 32x+24y +396 = 0 is C( -16, 12) and radius is 2.

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Answer:

The third one

Step-by-step explanation:

x =2±2√3 is the answer because x2-2x-2 =0

The number of pounds of copper in 120 pounds of brass is = 78 pounds of copper

The percentage of copper in the brass = 65%

Therefore the quantity of copper in the brass = 65/100= 0.65 pounds

This means that 1 pound brass contains = 0.65 pounds of copper

The quantity of copper in 120 pounds of brass = 120 * 0.65

                                                                             = 78 pounds of copper.

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The central angle (127 degrees) is the angle at point K

The measures of JL and JML are 127 and 233 degrees, respectively

From the complete question, we have:

JL = 127 degrees.

The sum of angles at a point is 360 degrees

So, we have:

JML + 127 = 360

Subtract 127 from both sides

JML = 233

Hence, the measures of JL and JML are 127 and 233 degrees, respectively

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Answer:

the left side is the answer

Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.

The procedures for the chi-square test of homogeneity are the same as for the chi-square test of independence. The data is different for both tests. Tests of independence are used to determine whether there is a significant relationship between two categorical variables from the same population. One population is segmented based on the value of two variables. So there will be a column variable and a row variable.

The chi-square test of homogeneity of proportions can be used to compare population proportions from two or more independent samples, determining whether the frequency counts are distributed identically among different populations.

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The probability that Alice's number is greater than Bob's number given that Alice's number is divisible by 5 is 1/7.

To solve this problem, we first need to determine the total number of possible outcomes. Since Alice and Bob choose a number each, there are 15 options for Alice's first choice and 14 options remaining for Bob's first choice. Therefore, the total number of possible outcomes is 15 x 14.

The probability of Alice's number being greater than Bob's number given that Alice's number is divisible by 5 is then given by the ratio of the number of favorable outcomes (30) to the total number of possible outcomes (15 x 14):

Probability = favorable outcomes / total outcomes

Probability = 30 / (15 x 14)

Probability = 30 / 210

Probability = 1 / 7

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Answer:

20/27

Step-by-step explanation:

Answer:

d≥24

Step-by-step explanation:

19≤−5+d

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

−5+d≥19

Add 5 to both sides.

d≥19+5

Add 19 and 5 to get 24.

d≥24

Answer:

c

Step-by-step explanation:

Answer:

156=2s+3b    s-8=b

Step-by-step explanation:

s=sundaes

b=banana splits

Answer:

X=1.899

I think

Step-by-step explanation:

2X+4.899=X+3

X=1.899

Answer:

x=3

Step-by-step explanation:

:)

Answer:

x intercept: none

y intercept=: (0,-12)

The derivative of y = (3x - 4)(x³ + 5) is 3x²(x³ + 5) + (3x - 4)(3x²).The first term in this derivative is obtained using the product rule. The second term is obtained using the product rule in reverse. Simplifying, we get: 9x⁵ - 12x³ + 15x² - 12x. Thus, the derivative of y = (3x - 4)(x³ + 5) is 9x⁵ - 12x³ + 15x² - 12x.Next, the derivative of y = x(√1 - x²) can be found by applying the product rule.

The product rule states that the derivative of two functions multiplied by each other is equal to the first function times the derivative of the second plus the second function times the derivative of the first. Using this rule, we can write: y' = x * d/dx(√1 - x²) + (√1 - x²) * d/dx(x).The derivative of √1 - x² can be found using the chain rule, which states that the derivative of a function composed with another function is equal to the derivative of the outer function times the derivative of the inner function. Using this rule, we can write: d/dx(√1 - x²) = -x/√1 - x². Similarly, the derivative of x is just 1. Substituting these values into our earlier equation, we get: y' = -x²/√1 - x² + √1 - x². Thus, the derivative of y = x(√1 - x²) is -x²/√1 - x² + √1 - x².

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The vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

To determine if a vector field is conservative, we need to check if it is the gradient of a scalar function (i.e., a potential function). We can do this by taking the partial derivatives of each component with respect to their respective variables and checking if they are equal:

∂f_x/∂y = 66xy^2
∂f_y/∂x = 66xy^2

Since these partial derivatives are equal, the vector field is conservative. We can then find a potential function by integrating each component with respect to their respective variable:

φ(x,y) = 11x^3y^2 + 11x^2y^2 + C

where C is the constant of integration.

Therefore, the vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

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Answer:

Step-by-step explanation o:

Answer:

-180

Step-by-step explanation:

Answer:

- 180

Step-by-step explanation:

let the blank be n , then

\(\frac{n}{10}\) = - 18 ( multiply both sides by 10 to clear the fraction )

n = - 180

Given the function:

Let's find the function after differentiating it 68 times.

To differentiate, let's take the derivative.

First derivative:

Second derivative:

Since 3 is the constant with respect to x, the derivative of 3cos(3x) with respect to x will be:

After the second differentiation, we have -sin, , the same will be applicable to the 68th time.

Therefore, for the 68th differentiation the exponent for the constant -3 will be 68.

Therefore, after differentiating the function 68 times, we have:

ANSWER:

Answer:

15 minutes

Step-by-step explanation:

60/4=15 8/4=2

The area of the sector is A = π cm² and amplitude is a = 0.75 cm

Given data ,

The area of a sector is given by the formula:

A = (1/2) x r² x θ

where r is the radius of the sector and θ is the central angle in radians.

On simplifying , we get

A = π cm²

r = 1.5 cm

Substituting these values into the formula, we get:

π = (1/2) x (1.5)² x θ

π = (3/4) x θ

Solving for θ, we get:

θ = (4/3) x π

The amplitude of the sector is half of the radius, so:

amplitude = (1/2) x 1.5 cm = 0.75 cm

Hence , the amplitude of the sector is 0.75 cm

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Answer:

answer is 16

good day mate

To evaluate the integral by reversing the order of integration, we first need to draw the region of integration. From the given limits of integration, we can see that the region is a rectangle with vertices at (0,4), (0,12), (11,4), and (11,12).

Now, we can reverse the order of integration by integrating with respect to y first, and then x. The new limits of integration will be y = 4 to y = 12 and x = 0 to x = 11e^(2y/3).

So, the new integral will be:

∫(0 to 11) ∫(4 to 12) 3y e^(2x/3) dy dx

We can evaluate this integral using integration by parts. Integrating with respect to y gives us:

∫(0 to 11) [3y^2/2 e^(2x/3)] from y = 4 to y = 12

Simplifying this expression gives us:

∫(0 to 11) [36e^(2x/3) - 6e^(8x/3)]/2 dx

Now, integrating with respect to x gives us:

[27e^(2x/3) - 9e^(8x/3)] from x = 0 to x = 11

Substituting these values and simplifying gives us the final answer:

(27e^22/3 - 9e^88/3) - (27 - 9) = 27e^22/3 - 9e^88/3 - 18

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An elevator descends at a constant speed, the change in elevation after 19 seconds will be an elevation of distance

d= 19v where acceleration remains constant

Generally, An angle is created when a horizontal line and a line of sight are placed side by side.

In conclusion, This angle is known as the angle of elevation. If the line of sight rises above the horizontal line, the angle that is generated is known as an angle of elevation.

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Answer: 15 - 6i

Step-by-step explanation:

3(5-2i)

3×5+3×(−2i)

Do the multiplications.

15−6i