Find the accumulated amount a if the principal p is invested at the interest rate of r/year for t years. (use a 365-day year. round your answer to the nearest cent. p = $2300, r = 4%, t = 12 1 2 , compounded semiannually

The probability that only one of the counter is white is 6/11.

So we know that there are 11 counters, 5 of them are white, 6 are not white.

Let's assume that first we take the white one, the probability is equal to the quotient between the number of white counters and the total number of counters, so we have:

p = 5/11

Now for the second one, we don't want to take a white one, so here the probability is equal to the quotient between the number of non-white counters (6) and the total number of counters (now there are 10, because we took one)

q = 6/10

The joint probability is the product of the individual probabilities, this is:

P = p*q

And, also notice that there are 2 permutations:

So we need to add a factor 2.

P = 2*p*q = 2*(5/11)*(6/10) = 6/11

The probability is 6/11

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Answer:

224

Step-by-step explanation:

Answer:

one package = $5. / double package= $14

Step-by-step explanation:

Lets say x is a package and y a double package

6x + 4y = $86

2(3x + 5y = $85)

6x + 10y = $170

-6x -4y. -86

6y = $ 84

÷6. ÷6

y= $14

6x +4y = $86

6x + 4($14) = $86

6x + $56 = $86

-56. -56

6x = $30

÷6. ÷6

x = $5

Answer:

chocolate chip = 5

double chocolate chip=14

Step-by-step explanation:

c = chocolate chip

d = double chocolate chip

Brenda

6c+4d = 86

Jasmine

3c+ 5d = 85

Multiply the second equation by -2

-6c -10d = -170

Add this to the first equation

-6c -10d = -170

6c+4d = 86

--------------------

   - 6d = -84

Divide by -6

-6d /-6 = -84/-6

d =14

Now we can find c

3c+ 5d = 85

3c+5*14 = 85

3c +70 = 85

Subtract 70

3c = 85-70

3c = 15

Divide by 3

3c/3 = 15/3

c = 5

To reduce a fraction, you divide the numerator and denominator by the same number.

This number is the greatest common divisor (GCD) of the numerator and denominator. By dividing both the numerator and denominator by their GCD, you simplify the fraction to its simplest form. The GCD is the largest number that evenly divides both the numerator and denominator without leaving a remainder.

Dividing by the GCD ensures that the fraction is expressed in its lowest terms, where the numerator and denominator have no common factors other than 1. This process eliminates any common factors and reduces the fraction to its simplest representation.

Therefore, To reduce a fraction, you divide the numerator and denominator by the same number. Option c is correct.

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1/36 is the probability that you score 4 points both times.It is the likelihood of scoring four points twice.

1/6 * 1/6 =1/36

The probability of an event occurring is measured by its probability. It determines the probability of an event. The probability calculation is P(E) = Number of Favourable Outcomes/Total Outcomes.A game is a formalized form of play that is frequently done for amusement or fun but can also serve as a teaching game tool.

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The probability of the independent events described, which involves randomly selecting a blue marble and then randomly selecting another blue marble from a bag containing 3 blue marbles and 2 yellow marbles, can be calculated using the multiplication rule of probability.

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the first event involves randomly selecting a blue marble. Since there are 3 blue marbles out of a total of 5 marbles, the probability of selecting a blue marble in the first event is 3/5.

For the second event, after the first blue marble has been selected, there are now 4 marbles remaining in the bag, with 2 blue marbles and 2 yellow marbles. Therefore, the probability of selecting another blue marble in the second event is 2/4.

According to the multiplication rule of probability, the probability of two independent events occurring is found by multiplying the probabilities of each individual event. Hence, the probability of randomly selecting a blue marble and then randomly selecting another blue marble is (3/5) * (2/4) = 6/20 = 0.3.

Therefore, the probability of the independent events described is 0.3.

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Answer:

Hello! Your answer is 24 inches!

Step-by-step explanation:

Answer:

Equation 2 is correct

Step-by-step explanation:

Equation 1 is 2, not 1.5

Answer: C and D

Step-by-step explanation:

The value of c in the first one is less then the value of the second one. Also equation 1 equals -11 and equation 2 equals 1 so that’s why it’s c and d.

Tan C

Tangent (tan) function - Trigonometry. ... In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.

Tan A

The tangent function, along with sine and cosine, is one of the three most common trigonometric functions. ... In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as 'tan'.

The reminder of 2 to the 100th power divided by 5 is 1

2 to the 100th power is:

\(2^{100}\)  = 1,267,650,600,228,229,401,496,703,205,376

Then dividing 2 to the 100th power by 5:

1,267,650,600,228,229,401,496,703,205,376 / 5 = 253,530,120,045,645,880,299,340,641,075  (without considering the decimal value)

This tells us how many times 5 can divide 2 to the 100th power.

Next, we need to multiply the answer obtained from the division by 5 (since we used 5 to divide):

253,530,120,045,645,880,299,340,641,075 x 5 = 1,267,650,600,228,229,401,496,703,205,375

Lastly, subtracting our last answer from the value of 2 to the 100th power will give us the reminder:

1,267,650,600,228,229,401,496,703,205,376 - 1,267,650,600,228,229,401,496,703,205,375 = 1

Therefore, the reminder when 2 raised to the power of 100 is divided by 5 is  1.

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Answer:

the common difference is 3

The probability that at least two of the six customers redeem the $10-off coupons is approximately 0.698.

We have,

To find the probability that at least two of the six customers redeem the $10-off coupons, we can calculate the probability of the complementary event and subtract it from 1.

The probability that a customer redeems the coupon is 16%, which means the probability of not redeeming the coupon is 1 - 0.16 = 0.84.

Now,

We can calculate the probability that none of the six customers redeem the coupon:

P(no customers redeem coupon) = \((0.84)^6\)≈ 0.302

To find the probability that at least two customers redeem the coupon, we subtract the probability of none of the customers redeeming the coupon from 1:

P(at least two customers redeem coupon) = 1 - P(no customers redeem coupon)

= 1 - 0.302

≈ 0.698

Therefore,

The probability that at least two of the six customers redeem the $10-off coupons is approximately 0.698.

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Answer:

For your question the answer will be 7.6 meters a second. So the third answer

A. To determine if an integral is convergent, we analyze the function's behavior, integrability, apply integration techniques, and examine its limits, ensuring they are finite, leading to a finite result.

B. To determine if an integral is divergent, we look for infinite limits, vertical asymptotes, and erratic behavior within the integration interval, indicating the lack of a finite value for the integral.

A. To determine if an integral is convergent, we need to consider several approaches. First, we check for basic convergence criteria such as infinite limits or vertical asymptotes.

Then, we examine integrability, ensuring the function is continuous or has a finite number of discontinuities. Next, we simplify the integral using integration techniques.

Finally, we analyze the behavior of the function at infinity and apply comparison tests if necessary to establish convergence.

B. To determine if an integral is divergent, we follow a series of steps. First, we check for basic divergence criteria such as infinite limits or vertical asymptotes.

Then, we examine integrability, looking for discontinuities that prevent integration. Next, we simplify the integral using integration techniques. Finally, if the integral does not converge, it is deemed divergent.

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To evaluate the integral ∫tan^4(x) cos^5(x) dx, we can use trigonometric identities to simplify the integrand.

We'll use the power-reducing formula for tan^4(x) and the power-reducing formula for cos^5(x) to simplify the integrand:

∫tan^4(x) * cos^5(x) dx

= ∫(tan^2(x))^2 * (cos^2(x))^2 * cos(x) * cos^2(x) dx

= ∫[(sec^2(x) - 1)^2] * [(1 - sin^2(x))^2] * cos(x) * cos^2(x) dx

Expanding the square terms, we get:

= ∫[(sec^4(x) - 2sec^2(x) + 1)] * [(1 - 2sin^2(x) + sin^4(x))] * cos(x) * cos^2(x) dx

Multiplying the terms together, we have:

= ∫[sec^4(x) - 2sec^2(x) + 1 - 2sin^2(x) + 4sin^4(x) - 2sin^6(x)] * cos^3(x) dx

Now, let's integrate each term separately:

∫sec^4(x) * cos^3(x) dx:

Using the substitution u = sin(x), we have:

∫(1 + u^2)^2 * (1 - u^2) du

Expanding the expression and integrating, we get:

= ∫(1 + 2u^2 + u^4 - u^4 - u^6) du

= u + 2/3 u^3 + 1/5 u^5 - 1/7 u^7 + C

Substituting back u = sin(x), we have:

= sin(x) + 2/3 sin^3(x) + 1/5 sin^5(x) - 1/7 sin^7(x) + C

∫-2sec^2(x) * cos^3(x) dx:

Using the substitution u = sin(x), we have:

∫-2(1 + u^2) * (1 - u^2) du

Expanding the expression and integrating, we get:

= ∫(-2 + 2u^2 - 2u^2 + 2u^4) du

= -2u + 2/3 u^3 - 2/5 u^5 + 2/7 u^7 + C

Substituting back u = sin(x), we have:

= -2sin(x) + 2/3 sin^3(x) - 2/5 sin^5(x) + 2/7 sin^7(x) + C

∫cos^3(x) dx:

Using the substitution u = sin(x), we have:

∫(1 - u^2) du

Integrating, we get:

= u - 1/3 u^3 + C

Substituting back u = sin(x), we have:

= sin(x) - 1/3 sin^3(x) + C

Putting it all together, the complete result of the integral is:

∫tan^4(x) * cos^5(x) dx

= ∫[sec^4(x) - 2sec^2(x) + 1 - 2sin^2(x) + 4sin^4(x) - 2sin^6(x)] * cos^3(x) dx

= ∫sec^4(x) *

cos^3(x) dx - 2∫sec^2(x) * cos^3(x) dx + ∫cos^3(x) dx

= (sin(x) + 2/3 sin^3(x) + 1/5 sin^5(x) - 1/7 sin^7(x)) - 2(-2sin(x) + 2/3 sin^3(x) - 2/5 sin^5(x) + 2/7 sin^7(x)) + (sin(x) - 1/3 sin^3(x)) + C

= sin(x) + 4/3 sin^3(x) - 8/5 sin^5(x) + 20/7 sin^7(x) + C

Therefore, the final result is:

∫tan^4(x) * cos^5(x) dx = sin(x) + 4/3 sin^3(x) - 8/5 sin^5(x) + 20/7 sin^7(x) + C

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The congruence theorem that can be used to prove △ bda ≅ △ bdc is D. SSS.

Side-Side-Side, or SSS, is a type of triangle congruence rule that states that two triangles are congruent if their three sides are equal to their respective three sides of another triangle. When the measurements of the corresponding sides and angles are identical, two or more triangles are said to be congruent.

Given that ΔBDA is similar to ΔBDC and:

AD ≡ DC

AB ≡ BC

BD ≡ BD (shared side)

Then the best postulate to use is the side-side-side (SSS) postulate. The correct option is D.

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Given:

To draw the graph:

Let us find the slope as the ratio.

Comparing the given equation with y=mx+c

So, the slope m=4.

In ratio,

Let us take two points, (0,0) and (1,4).

So, the graph is,

Answer:

jsjjrjjsndndjjdjdjfjfjdjdjeoowke

The fraction of 33 kg as a fraction of 4 tonnes is 33/4000.

The same property is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other length unit instead of miles.

For example, inches, centimeters, and miles are all measures of distance.

Given:

Amount= 33 Kg

We have to convert Kg into Tones

We know, 1 tonne= 1000 Kg

So,4 tonee = 4 x 1000

                = 4000 Kg

Thus, 33 kg as a fraction of 4 tonnes.

= 33/4000

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Answer is y = -1.01x + 38.19

The formula for calculating the regression line is:

y = a + bx

To find the regression line, we need to calculate two coefficients. They are a and b. where,

b = (NΣxy - ΣxΣy) / (NΣx2 - (Σx)2)and a = y - bx

Here, N = 14N = number of data sets

x = the independent variable

y = the dependent variable

Σ = summationx2 = square of x, i.e., x multiplied by itself

xy = x multiplied by y

Here, x and y have already been given. Thus, we need to calculate the remaining terms for determining the values of a and b.

The following table shows the steps for finding the values of a and b:-

x y x² xy5 26.25 25 131.256 22.3 36 133.87 22.75 49 176.175 22 25 1749 22.35 81 200.1510 19.8 100 19811 17.75 121 194.2512 16.8 144 201.613 17.75 169 299.75514 16.3 196 263.89515 15.95 225 359.2516 13.6 256 219.52Σx = 155 Σy = 255.95Σx² = 2870 Σxy = 4391.81

Now, we can calculate the value of b as:

b = (NΣxy - ΣxΣy) / (NΣx² - (Σx)²)b = (14 x 4391.81 - 155 x 255.95) / (14 x 2870 - 155²)b = -1.0146Next, we can calculate the value of a as:

a = y - bx

a = (Σy / N) - b (Σx / N)a = (255.95 / 14) - (-1.0146 x 155 / 14)a = 38.1921

Thus, the equation of the regression line is:

y = -1.01x + 38.19

The values are rounded off to two decimal places.

Answer:

y = -1.01x + 38.19

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Answer:

Find the unit price

Step-by-step explanation:

When you find the unit price, you can compare the two items' unit prices and then from there, you can justify which one is better to buy;the one with the cheaper unit price will be the better one to buy.

Answer:

Compare the cost for the each (smallest) unit.

Step-by-step explanation:

You can calculate the cost per unit

For example :

20 ounces of water of brand A cost 1.50

30 ounces of water of brand A cost 2

20 ounces of water cost 1.50/20 = 0.075 dollar per ounce

30 ounces of water cost 2/30 = 0.0677 dollar per ounce

Step-by-step explanation:

The volume of the prism is

The volume of the prism is solved by the formula

= area of triangle * depth

Area of the triangle

= 1/2 base * height

base = p = cos 51.34 * √41 = 4

height = q = sin 51.34 * √41 = 5

= 1/2 * 4 * 5

= 10

volume of the prism

= area of triangle * depth

= 10 * 7

= 70 cm³

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the answer is 10 pts bc the maximum number of points of intersection when 5 lines are drawn in a plane, as shown, is 10 points.

Answer:20

Step-by-step explanation: The rule you use for the problems is the same you use for finding the sum of patterned numbers: n*(n+1). n is equivalent to the number of circles. Thus, 5 *(5-1)= 5*4=20

Hope it helps!

Answer:

44

Step-by-step explanation:

Answer:

-4x -3 < 13

Step-by-step explanation:

-x - 3 < 13 + 3x

-x - 3x < 13 + 3 ( add three to both side and subtract 3x to both sides)

-4x < 16

x > -4

Answer:

hypotenuse= 2\(\sqrt{5}\)

Step-by-step explanation:

the triangle is equal tow side so it is two side =5 cm

then the hypotenuse by Phitagors theory the triangle hypotenuse =

\(\sqrt{5^{2} +5^{2} }\) = 2\(\sqrt{5}\)

The volume of the square-based pyramid is 3888 units³. Your answer is option B. 3888 units³.

The formula to calculate the volume of a pyramid is V = (1/3)Bh,

Where B is the area of the base and h is the height.

In this case, the base is a square with edge length 9 units, so the area is B = 9² = 81 units².

The height is given as 48 units.
Plugging these values into the formula, we get:
To find the volume of a square-based pyramid, you can use the following formula:

V = (1/3) * base area * height.

In this case, the base edge is 9 units and the height is 48 units.

First, find the base area:

A = side * side = 9 * 9

= 81 square units.

Next, calculate the volume:

V = (1/3) * 81 * 48 = 3888 cubic units.
V = (1/3)(81)(48)
V = 1296 units³
Therefore, the volume of the pyramid is 1296 units³, which is option b.

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Answer:

4.04

Step-by-step explanation:

I like to turn my fractions into decimals when I do this. Volume is found by length*width*height. In this case, it would be 3.5*1.75*4.66

The volume would be about    \(4ft^2\)

Answer:

(-5/3)x + 6

Step-by-step explanation:

To put the equation 20x + 12y = 72 into slope-intercept form (y = mx + b), where "m" represents the slope and "b" represents the y-intercept, we need to solve for "y."

Step 1: Move the term with "x" to the other side of the equation:

12y = -20x + 72

Step 2: Divide both sides of the equation by 12 to isolate "y":

y = (-20/12)x + 72/12

Simplifying the expression further:

y = (-5/3)x + 6

Therefore, the equation 20x + 12y = 72 in slope-intercept form is y = (-5/3)x + 6.

Answer:

y = \(\frac{-5}{3}\) x + 6

Step-by-step explanation:

20x + 12y = 72  Subtract 20x from both sides

20x - 20x + 12y = -20x + 72

12y = -20x + 72  Divide every term by 12

\(\frac{12y}{12}\) = \(\frac{-20}{12}\)x + \(\frac{72}{12}\)

y = \(\frac{-5}{3}\)x + 6

Simply \(\frac{-20}{12}\) by dividing the top and the bottom by 4

Simplify \(\frac{72}{12}\) by dividing the top and bottom by 12

Helping in the name of Jesus.

Answer:

the answer is b

Step-by-step explanation:

plz give me a Brainliest

A word that describes the slope of the line is negative. The correct answer is option B.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

For this case the first thing you should know is that we have an equation of the form:

y = mx + b

Where,

m: The slope of the line

b: Cutting point with the vertical axis.

For this case, we observe that the values of y decrease when the values of x increase. Therefore, the function decreases.

This means that it is true that:

m < 0

Therefore, the slope of the line is negative.

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A statistic is, 4.13%.

Given that;

On Feb. 19th, 2010, 4.13% of the randomly selected spots had potamogeton (a type of seagrass)

Since, A parameter is a value that is determined from all of the data, whereas a statistic is a value that is produced from a sample of the data.

Here, The percentage of spots containing portamento in this instance was solely determined from a randomly chosen sample, making it a statistic.

Hence, It would be a parameter if the percentage was determined using the whole population of spots.

Thus, 4.13% is a statistic.

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