How much principal must be deposited to earn $1,000 simple interest in 250 days at a rate of 5.05%?

Answer:

maybe the answer is equal. not sure.

Answer:

The answer is smaller

Step-by-step explanation:

because when we multiply two small ones we get a big one

Answer:

slope is undefined

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (6, 4 ) and (x₂, y₂ ) = (6, - 2 )

m = \(\frac{-2-4}{6-6}\) = \(\frac{-6}{0}\)

division by zero is undefined, therefore the slope of the vertical line is undefined.

Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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[a] The top of the ladder is moving down the wall at a rate of -1 / (√5) ft/sec 12 seconds after we start pushing.

[b] Simplifying D² = D² + D² - 2D²*cos(θ) we get 2D²*cos(θ) = D²

[a] Let's start by visualizing the situation. We have a ladder leaning against a wall. We are given that the ladder is 15 feet long and the bottom is initially 10 feet away from the wall. The bottom is being pushed towards the wall at a rate of 0.5 feet per second (ft/sec). We need to find how fast the top of the ladder is moving up the wall 12 seconds after we start pushing.

Let's denote the distance of the bottom of the ladder from the wall as x and the height of the ladder on the wall as y. We are given the following information:

x = 10 ft (initial distance from the wall)

dx/dt = 0.5 ft/sec (rate at which x is changing)

y = ? (height of the ladder on the wall)

dy/dt = ? (rate at which y is changing)

We can apply the Pythagorean theorem to relate x, y, and the length of the ladder:

x² + y² = 15²

Differentiating both sides of the equation with respect to time t, we get:

2x(dx/dt) + 2y(dy/dt) = 0

Substituting the given values:

2(10)(0.5) + 2y(dy/dt) = 0

Simplifying:

10 + 2y(dy/dt) = 0

Now, we can solve for dy/dt:

2y(dy/dt) = -10

dy/dt = -10 / (2y)

To find dy/dt at t = 12 seconds, we need to find the corresponding value of y. Using the Pythagorean theorem equation:

10² + y² = 15²

100 + y² = 225

y² = 125

y = √125 = 5√5

Substituting this value into the expression for dy/dt:

dy/dt = -10 / (2 * 5√5)

dy/dt = -1 / (√5)

Therefore, the top of the ladder is moving down the wall at a rate of -1 / (√5) ft/sec 12 seconds after we start pushing.

[b] In this scenario, we have two people standing 50 feet apart. One person starts walking north, and the angle between the two people is changing at a constant rate of 0.01 radians per minute. We need to determine the rate at which the distance between the two people is changing when the angle is 0.5 radians.

Let's denote the distance between the two people as D and the changing angle as θ. We are given the following information:

D = 50 ft (initial distance between the people)

dθ/dt = 0.01 rad/min (rate at which the angle is changing)

dD/dt = ? (rate at which the distance is changing)

To solve this problem, we can use the law of cosines. The law of cosines states that in a triangle with sides a, b, and c, and angle C opposite side c, the following equation holds:

c² = a² + b² - 2ab*cos(C)

In our scenario, the triangle is formed by the two people and the line connecting them, with sides a = b = D and angle C = θ. The equation becomes:

D² = D² + D² - 2D²*cos(θ)

Simplifying:

D² = 2D² - 2D²*cos(θ)

D² - 2D² + 2D²*cos(θ) = 0

2D²*cos(θ) = D²

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Answer:

a) \(F(x)\begin{cases} & 0\text{ if } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ if } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ if } x \geq 1.05 \end{cases}\)

b) 0.03

c) 0.15

d) La media es 0.55

La varianza es 8.\(\overline 3\)

Step-by-step explanation:

La variación del espesor del componente de la aeronave = 0.05 a 1.05

El pdf de la variable 'X' se da de la siguiente manera;

\(f(x) = \dfrac{1}{1.05 - 0.05} = 1\) por 0.05 < x < 1.05

a)

\(F(x)\begin{cases} & 0\text{ si } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ si } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ si } x \geq 1.05 \end{cases}\)

b) Para la proporción de los bordes que con un espesor superior a 1.02 milímetros, obtenemos;

P(X > 1.02) = 1 - F(1.02) = 1 - (1.02 - 0.05) = 0.03

P(X > 1.02) = 0.03

La proporción de bordes que tienen un espesor mayor que 1.02 = 0.03

c) El espesor, 'x', excedido en el 90% de los bordes, se encuentra de la siguiente manera;

P(X > x) = 1 - F(x)

∴ 90/100 = 0.9 = 1 - F(x) = 1 - (x - 0.05)

x - 0.05 = 1 - 0.9 = 0.1

x = 0.1 + 0.05 = 0.15

∴ El espesor excedido en el 90% de los bordes, x = 0.15

d) Para una variable aleatoria uniforme continua, a ≤ x ≤ b, tenemos;

\(El \ significado, \mu = E(X) = \dfrac{(a + b)}{2}\)

\(La \ varianza, \sigma^2 = V(X) = \dfrac{(b - a)^2}{12}\)

Para la distribución de espesor de borde dada, tenemos;

0.05 < x < 1.05

\(\therefore El \ significado, \mu = E(X) = \dfrac{(0.05 + 1.05)}{2} = 0.55\)

El significado E(X) = 0.55

\(La \ varianza, \sigma^2 = V(X) = \dfrac{(1.05 - 0.05)^2}{12} = 1/12 = 8.\overline 3\)

La varianza, V(X) = 8.\(\overline 3\)

3 full shifts of 3/4 hour and 1 half shift of 3/4 hour

Shift work is an employment strategy intended to utilize or give service during each of the seven days of the week's full 24 hours. The day is often divided into shifts, predetermined times when various groups of workers carry out their tasks.

Total work hours = 2.625 hours

Each shift = 0.75 hr

Number of shifts = Total work hours / Each shift

                            = 2.625 / 0.75

                            = 3.5

Therefore, He worked three full shifts of three hours each and one half-shift of three hours.

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Answer:

900

Step-by-step explanation:

A=S^2

50265=SxS

S=√50265

S=225

P=Sx4

P=225x4

P=900

Answer:

-0.76

Step-by-step explanation:

Answer:

-0.76

Step-by-step explanation:

this is pretty simple subtraction but you just take 14.36 and subtract it by 15.12 and you know it will be a negative number because 15.12 is bigger than 14.36 and so your answer is -0.76

Answer:

6/1 GO GO GO

Step-by-step explanation:

To determine the probability that Alice will flip more heads than Bob, we can use the concept of binomial probability.

Let's consider the number of heads flipped by Alice as a random variable X, which follows a binomial distribution with parameters n = 1201 (number of trials) and p = 0.5 (probability of getting a head on a fair coin). Similarly, the number of heads flipped by Bob can be represented as a random variable Y, which follows a binomial distribution with parameters n = 1200 and p = 0.5.

To calculate the probability that Alice will flip more heads than Bob, we need to find P(X > Y). This can be done by summing up the probabilities of all possible values of X that are greater than the corresponding values of Y.

P(X > Y) = P(X = 1201) + P(X = 1200) + ... + P(X = 1200 - 1200)

We can simplify this expression by noticing that P(X = k) = P(Y = k) for any given value of k.

Therefore, P(X > Y) = P(X = 1201) + P(X = 1200) + ... + P(X = 601)

Using the binomial probability formula, the probability of getting exactly k heads out of n trials is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where C(n, k) represents the number of ways to choose k successes out of n trials, given by the binomial coefficient formula:

C(n, k) = n! / (k! * (n - k)!)

Now we can calculate the probability:

P(X > Y) = P(X = 1201) + P(X = 1200) + ... + P(X = 601)

        = [C(1201, 1201) * 0.5^1201 * 0.5^0] + [C(1201, 1200) * 0.5^1200 * 0.5^1] + ... + [C(1201, 601) * 0.5^601 * 0.5^600]

This calculation involves summing up a large number of terms, so it can be computationally intensive. However, we can approximate the probability by using methods such as Monte Carlo simulation or statistical software.

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Answer:

LESLEY GETS ABSOLUTELY NOTHINGGGG

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

12-{1+2[-1(3-8]2}

12-{1+2[-1-5]2}

12-{1+2[-6]2}

12-{3-4}

12-(-1)

12+1

13

Answer: -39 is the answer

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It has two or more terms.

Answer:

ithink the first one :p

Step-by-step explanation:

Answer:

I'm pretty sure 1 is verticle and 2 is complimentary

Step-by-step explanation:

Answer:

−7y+8

Step-by-step explanation:

1. Simplify each term.

−4y+8−3y

2. Subtract 3y from −4y.

−7y+8

Hope this helps :D

The area of the walkaway is 216.66 feet squared.

The circular swimming pool has a diameter of 20 feet. A 3 foot tile walkaway is being installed around the pool.

Therefore, the area of the walkaway can be calculated as follows:

Hence,

area of the walkaway = area of the bigger circle - area of the smaller circle

area of the bigger circle = πr²

area of the bigger circle = 3.14 × 13²

area of the bigger circle  = 530.66

area of the smaller circle = πr²

area of the smaller circle  = 3.14 × 10²

area of the smaller circle = 314

area of the walkaway = 530.66 - 314  = 216.66 ft²

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Answer:

1042-96i

Step-by-step explanation:

(3 + 16i)(6 - 64i)

6(3 + 16i)(3 - 32i)

(6) 9 - 96i + 48i +1024

The fourth quintile based on the given sample observations is approximately 15.5.

To find the fourth quintile, we first need to arrange the sample observations in ascending order:

-31, 9, 13, 18, 24

The fourth quintile represents the value below which 80% of the data falls. Since we have 5 data points, the fourth quintile is located at the 80th percentile, which can be calculated as:

80th percentile = (80/100) * (n + 1) = (80/100) * (5 + 1) = 4.8

Since the 80th percentile falls between the fourth and fifth observations, we can estimate the fourth quintile by taking the average of these two values:

Fourth quintile ≈ (13 + 18) / 2 = 15.5

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A rectangle with sodes of lengrh 84 and 45 has the same perimeter asa hexagon. If the sides of the hexagon all have the same length then what is the length of a side of the hexagon

(A) 41

(B) 46

(C) 43

(D) 45

(E)Other

A square has an area of 25. Two opposite side of the square each have their length tripled what is the perimeter of the new figure

(A) 40

(B) 25

(C) 60

(D) 35

(E)Other

A rectangle measures 6 centimeters by 25 centimeters the probability that a point randomly chosen inside the rectangle is closer to a side of length 25 than a side of length 6 is p/q are relatively prime positive whole numbers what is the sum of p and q

(A) 5

(B) 19

(C) 37

(D) 47

(E)Other

The three values of x that are solutions to X^3 + mx = 37x^2 +n are positive whole numbers that form a geometric sequence what is the sum of the possible values of the common ration of the geometric sequence

(A) 25/12

(B) 9/4

(C) 7/4

(D) 2

(E)Other

Answer:

130$

Step-by-step explanation:

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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Answer: y = 2/3 x + b

Step-by-step explanation:

If a line has a slope of 2/3, then the slope intercept form equation of that line will be: y = 2/3 x + b where b is the y-intercept.

Answer:

See explanation.

Step-by-step explanation:

If the odd number is 2n+1 note that n can be any number because any even number plus one will be odd. Let's start by squaring 2n+1 to get:

\(4n^2+4n+1\)

Consider xy (x times y). xy is a multiple of both x and y because xy/x = y and xy/y = x. So it doesn't matter what n is it will be a multiple of 4. So now we know that 4n^2 and 4n are both multiples of 4. If we add them together, it will still be a multiple of 4. 2x + 4x = 6x and 6x is still divisible by x.

Now the plus 1 will always make it so it will be one more than a multiple of 4.

Answer: m is — 1

Step-by-step explanation:

Explanation is in the attached image

Answer:

x = 11

Step-by-step explanation:

35 + 5x = 90

5x = 55

x = 11