Can someone help me pleaseee it’s worth 20 points I’m running out of timeee

Usando el interés compuesto, se encuentra que el interes obtenido es de 1609.

\(I(t) = P\left[\left(1 + \frac{r}{n}\right)^{nt} - 1\right]\)

En que:

En este problema, los parámetros son:

\(P = 9500, t = \frac{900}{365} = 2.4658, r = 0.065, n = 1\)

Por eso:

\(I(t) = P\left[\left(1 + \frac{r}{n}\right)^{nt} - 1\right]\)

\(I(2.4658) = 9500\left[\left(1 + \frac{0.065}{1}\right)^{2.4658} - 1\right]\)

\(I(2.4658) = 1609\)

El interes obtenido es de 1609.

Se puede aprender más sobre interés compuesto en https://brainly.com/question/25781328

The interest earned on the amount is 1,595.05.

The formula for calculating the compound interest is expressed as:

A = P(1+r)^t

A = 9500(1+0.065)^2.4658

A = 9500(1.065)^2.4658

A = 11,095.05

Interest = Amount - Principal

Interest = 11,095.05 - 9500

Interest = 1,595.05

Hence the interest earned is 1,595.05.

Learn more on compound interest here: https://brainly.com/question/24924853

The five different calculations Hassan could write will be 10 x 600, 20 x 300, 40 x 150, 50 x 120, and 60 x 100.

Here are five different calculations Hassan could write to find the product of two multiples of 10 that equals 6000:

All of these calculations involve finding the product of two multiples of 10 that multiply by 6000.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer:

c = 6

Step-by-step explanation:

(I'm going to call the unidentified inner angle Henry, 'kay?)

First, we need to find Henry.

64 + Henry = 180

(64 - 64) + Henry = (180 - 64)

Henry = 116

Now to c.

Henry + 32 + 5c + 2 = 180

(116 + 32 + 2) + 5c = 180

(150 - 150) + 5c = (180 - 150)

5c/5 = 30/5

c = 6

Answer:

2: 67

3:67

4: 113

Step-by-step explanation:

Answer: 67 degrees, 67 degrees, 113 degrees

Step-by-step explanation:

Angle 2: 180-113= 67 degrees

Angle 3: angle 3=angle 2

67 degrees

Angle 4: angle 4=angle 1

113 degrees

Answer:

x=138

Step-by-step explanation:

68+70+a=180

138+a=180

a=42

180-42=x

x=138

The bearing of D from C is equal to the angle measure 315°.

Bearing is usually measured in degrees, with 0° indicating the reference direction (usually North), and increasing clockwise to 360°. It refers to the direction or angle between a reference direction and a point or object.

By observation, the angle between the north line CN and the line CD is equal to 45°, the bearing of D from C is the angle formed beginning from the north line clockwise to the line CD calculated as:

360° - 45° = 315°

Therefore, the bearing of D from C is equal to angle measure 315°

Read more about bearing here:https://brainly.com/question/22518031

#SPJ1

Answer:

polynomial is one. Because the zeros of a polynomial can be determined from the factors of a polynomial, the factors can be created from the zeros. For the zero which occurs at 2, 3 x x = -2/3, the factor which produced that zero is 2. 3 x §· ¨¸ ©¹ The multiplicity represents how many times that zero occurs, in other words, the degree of ...

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

It is a RIGHT triangle so you can use the Pyhtaogrean Theorem

hypotenuse^2 = leg1^2 + leg2^2     Sub in the values given:

       x^2          =   19^2    +   16^2

       x ^2 = 617

      x = sqrt (617)      ( or 24.84 units)

Answer:

this is the answer I know.

Hello! I'd be happy to help you evaluate the integral ∫sin³(t)cos(t)dt using the substitution u = sin(t). Let's follow the steps:

1. Substitute: Replace sin(t) with u, so sin³(t) becomes u³. To find the differential, take the derivative of the substitution equation: du/dt = cos(t).

2. Rewrite integral: Multiply both sides of the equation du/dt = cos(t) by dt to get du = cos(t)dt. Now, the integral becomes ∫u³du.

3. Evaluate the integral: To evaluate ∫u³du, use the power rule for integration, which is ∫u^n du = (u^(n+1))/(n+1) + C. In this case, n = 3, so we have:

∫u³du = (u^4)/4 + C.

4. Resubstitute: Replace u with the original expression, sin(t), to obtain the final answer:

∫sin³(t)cos(t)dt = (sin^4(t))/4 + C.

To know more about ∫sin³(t)cos(t)dt :-

https://brainly.com/question/30371023

#SPJ11

To evaluate the integral ∫sin3 t cos t dt by making the substitution u = sin t, we need to follow these steps:

1. First, we need to express sin3 t in terms of u. Using the identity sin^2 t = 1 - cos^2 t, we can rewrite sin^3 t as sin t * sin^2 t = sin t * (1 - cos^2 t) = sin t - sin t * cos^2 t. Since u = sin t, we can substitute sin t = u and cos t = √(1 - u^2) to get sin^3 t = u - u * √(1 - u^2).

2. Next, we need to find the derivative of u with respect to t, which is du/dt = cos t. We can solve for dt in terms of du by rearranging to get dt = du/cos t. Since we have cos t = √(1 - sin^2 t) = √(1 - u^2), we can substitute cos t = √(1 - u^2) and dt = du/√(1 - u^2).

3. Now we can substitute u and du/√(1 - u^2) into the integral to get: ∫(u - u * √(1 - u^2)) * √(1 - u^2) * (du/√(1 - u^2)).

4. Simplifying the expression gives us: ∫(u√(1 - u^2) - u^3) du.

5. Integrating this expression gives us: (1/2) * (1 - u^2)^(3/2) - (1/4) * u^4 + C, where C is the constant of integration.

6. Finally, we need to substitute back u = sin t to get the final answer in terms of t: (1/2) * (1 - sin^2 t)^(3/2) - (1/4) * sin^4 t + C.

To know more about integral visit:

https://brainly.com/question/31584559

#SPJ11

The interval of convergence for the power series expansion of f(x) is -36 < x < 36. To expand the function f(x) = \(\frac{81}{36+x}\) as a power series centered at  x=0, we can use the geometric series expansion.

The formula for the geometric series is: \(\frac{1}{1-r} = 1 + r² + r³ + ....
First, let's rewrite the function

f(x) = \(\frac{81}{36+x} = \frac{9}{4} . \frac{1}{1-\frac{x}{36} }\)

multiply by \(\frac{9}{4}\) ,we have

f(x) = \(\frac{9}{4} - \frac{3}{4} . \frac{x}{12} + \frac{1}{4} . \frac{x}{12} ^{2} - \frac{1}{4} . (\frac{x}{12} ) + ...\)

To determine the interval of convergence, we need to find the values of x for which the series converges. In this case, the series will converge if the absolute value of the ratio r = \(r = \frac{x}{36}\) is less than 1. Solving for x after substitute the x value, we find -36 < x < 36

Learn more about interval of convergence

https://brainly.com/question/17019250

#SPJ11

Answer:

g(x+2) means that x + 2 is going into g(x).

Step-by-step explanation:

Given:

g(x) = x^2 - x

g(x + 2)

g(x+2) means that x + 2 is going into g(x)

x = x + 2

Substitute:

g(x + 2) = (x + 2)^2 - (x + 2)

Solve:

g(x + 2) = (x + 2)^2 - (x + 2)

= x^2 + 4x + 4 - (x + 2)

= x^2 + 4x + 4 - x - 2

Simplify:

g(x + 2) = x^2 + 3x + 2

Answer:

is there like answer choices or do you just fill it in? if so then i think it would be unlikely.

Step-by-step explanation:

there’s only 7 ones which is the number that shows it will flood so 7/36 is unlikely, it has to be more than half to be likely

Answer:

A≈228.33

Step-by-step explanation:

The difference in the latitudes of Athens, Greece, Latitude 38° N, and Sydney, Australia, latitude 34° S is 72° .

We have two different coordinates, 38° N and  34° S

We can find the differnce in two different coordinates by following a few steps.

We have to consider South as negative North. So, we can write 34° S as -34° N.

Hence, we can determine the difference in between two coordinates.

Difference in coordinates ≡ 38° N - 34° S  = 38° N - ( - 34° N ) = 38° N + 34° N = 72°  N

So, we can conclude that, the difference is 72°.

To know more about coordinates visit,

https://brainly.com/question/14498011?referrer=searchResults

#SPJ9

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

The probability that the number of people who show up will exceed the capacity of the plane is approximately 0.0885, or 8.85%.

To solve this problem, we first need to find the expected number of people who will show up on the flight. Since the airline estimates that 96% of people booked will actually show up, we can estimate that 0.96 x 70 = 67.2 people will show up.

Next, we need to find the probability that the number of people who show up will exceed the capacity of the plane, which is 65. To do this, we can use the normal distribution with a mean of 67.2 and a standard deviation of √(70 x 0.96 x 0.04) = 1.63.

We want to find the probability that the number of people who show up is greater than 65. To do this, we can standardize the value of 65 using the formula z = (x - mu) / sigma, where x is the value we want to standardize (65), mu is the mean (67.2), and sigma is the standard deviation (1.63).

z = (65 - 67.2) / 1.63 = -1.35

Using a standard normal distribution table or calculator, we can find that the probability of a standard normal variable being less than -1.35 is 0.0885. Therefore, the probability that the number of people who show up will exceed the capacity of the plane is approximately 0.0885, or 8.85%.

Learn more about normal distribution here: https://brainly.com/question/26678250

#SPJ11

The probability that two batteries used sequentially will last more than four years is approximately 0.0835.

We recognize that the time to failure of a rechargeable battery is exponentially distributed with a mean of 3 years. consequently, the parameter lambda for the exponential distribution is:

lambda = 1/mean = 1/3

Let X1 be the time to failure of the first battery and X2 be the time to failure of the second battery. We want to find the possibility that each batteries last more than four years, which may be expressed as:

P(X1 > 4 and X2 > 4)

The use of the memoryless belongings of the exponential distribution, we will rewrite this chance as:

P(X1 > 4) x P(X2 > 4)

The opportunity density feature of an exponential distribution with parameter lambda is:

\(f(x) = lambda * e^{(-lambda*x)}, for x > = 0\)

Therefore, the opportunity that a battery lasts more than four years is:

P(X > 4) = imperative from 4 to infinity of lambda * \(e^{(-lambdax)}\) dx

= \(e^{(-lambda4)}\)

Substituting lambda = 1/3, we get:

P(X > 4) = \(e^{(-4/3)}\)

The use of the memoryless property, we've got:

P(X1 > 4) =\(e^{(-4/3)}\)

P(X2 > 4) = \(e^{(-4/3)}\)

Consequently, the chance that both batteries last more than 4 years is:

P(X1 > 4 and X2 > 4) = P(X1 > 4) x P(X2 > 4)

\(= e^{(-4/3)} x e^{(-4/3)}\)

\(= e^{(-8/3)}\)

≈ 0.0835

Consequently, the probability that two batteries used sequentially will last more than four years is approximately 0.0835.

Learn more about probability:-

https://brainly.com/question/13604758

#SPJ4

Answer:

1/4

Step-by-step explanation:

400 divided by 1600 = \(\frac{400}{1600}\)

We simplify by 400, and get the answer

1/4

Answer:

0.25 or 1/4

Step-by-step explanation:

1600/400

1600 cant go into 400 so you start with zero, add a decimal next to your zero, and carry down a 1. That then becomes 1600/4000 divide that and drop the decimal to equal 0.25.

The highest score is 12794706708

What is mean ?

The average of a set of data is referred to as the mean in statistics and arithmetic. The simple arithmetic mean, geometric mean, and harmonic mean are some of the methods that can be used to calculate the mean. The basic arithmetic mean involves adding the numbers together and dividing the result by the number of observations.

At first (remaining + top player) /888 = 14514514

So remaining + top = 12888888432

Now after removing top

Remaining/777 = 121212

Remaining = 94181724

So top = 12888888432 - 94181724

           = 12794706708

12794706708 is the score of the top player

To learn more about mean from the given link  

https://brainly.com/question/1136789

#SPJ4

Answer:

.22 chance next customer pays with credit card

Step-by-step explanation:

This is because there was in all 139 customers during that week, and 30/ 139 0.21582733812. This rounded to hundredth would be .22

After four hours, the height of the candles will be the same.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A red candle has an 8-inch height and burns at a 7/10-inch per hour rate. A 6-inch tall blue candle burns at a rate of 1/5 inch per hour.

Let x be the number of hours and y be the height.

y = -0.70x + 8           ...1

y = -0.20x + 6             ...2

From equations 1 and 2, then we have

- 0.20x + 6 = - 0.70x + 8

(0.70 - 0.20)x = 8 - 6

0.50x = 2

x = 4 hours

After four hours, the height of the candles will be the same.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

Answer:9.64

Step-by-step explanation:

smart :!

Answer:

biquadratic polynomial

Step-by-step explanation:

it has degree 4

To use the quadratic formula, we need to identify the values of a, b, and c.

1. In this case, the equation is 4x² - 3x - 8 = 0, so a = 4, b = -3, and c = -8.

2. x = (-b ±√(b² - 4ac))/2a.

3.  x = (3 ±√137)/8.

The Quadratic Formula is a mathematical equation used to solve second-degree equations.

To use the quadratic formula, we need to identify the values of a, b, and c in the equation ax² + bx + c = 0.

In this case, the equation is

4x² - 3x - 8 = 0,

so a = 4, b = -3, and c = -8.

Once the values of a, b, and c are known, we can substitute them into the Quadratic Formula:

x = (-b ±√(b² - 4ac))/2a.

In this equation, a = 4, b = -3, and c = -8, so the equation becomes

x = (-(-3) ±√((-3)² - 4(4)(-8)))/2(4).

Simplifying, we get x = (3 ±√(9 + 128))/8.

Finally, solving for x yields x = (3 ±√137)/8.

Therefore, the solution to the equation is

x = (3 ±√137)/8.

For more questions related to equation

https://brainly.com/question/2228446

#SPJ1

Answer:

r = 1

Step-by-step explanation:

  Direct variation describes a relation ship in which two variables are directly proportion and is represented as,

 y = rx or

\(\sf r =\dfrac{y}{x}\)

From the table,

      \(\sf r =\dfrac{5.8}{5.8}\\\\r = 1\)

Answer:

\(-\sqrt{12}; -\frac{12}{5}; -1.5; 0; 0.3\)

P.S. Hope it helps. If you have any questions, feel free to ask them in the comment section below. I'll be happy to help with whatever I can. Have a wonderful day!

Answer:

10+12x

Step-by-step explanation:

1. simplify both sides using PEMDAS.

(2 x 2) − ((2 x 2x) 2) −2x

4-8x-2x

4-10x

− (3 x 2) + 4x + 10 −(3x 2) +4x+10

-6+4x-6x+4x+20

2x+14

2. (2x+14)-(4-10x)= 10+12x

sorry if its rong it was kinda confusing finfing if it was an x or multiplecation.

To express the volume of the given sphere that lies between the two cones, we can use cylindrical coordinates and apply triple integration. By setting up appropriate limits of integration, we can calculate the volume of the region enclosed by the sphere and bounded by the two cones.

Let's consider the given sphere x^2 + y^2 + z^2 ≤ 81, which has a radius of 9 units. We want to find the volume of the region between the two cones z = √(x^2 + y^2) and z = (x^2 + y^2)^(1/3).To express the volume in cylindrical coordinates, we use the substitution x = r cosθ and y = r sinθ, where r is the radial distance from the origin and θ is the azimuthal angle. The limits of integration for r and θ will depend on the geometry of the region.

Since the two cones intersect at z = 0, we can integrate over the radial distance r from 0 to the maximum value where the sphere intersects the cones, which is r = 9. For the azimuthal angle θ, we integrate from 0 to 2π, covering the full range.

Setting up the triple integral, we integrate with respect to r, θ, and z, using the appropriate limits of integration. The integrand is set to 1, representing the infinitesimal volume element. Evaluating the triple integral will yield the volume of the region between the two cones and within the sphere.

Learn more about integration here:- brainly.com/question/31744185

#SPJ11