Find the 12th term of the geometric sequence 8,16,32

The given expression represents the present value of a series of future cash flows discounted at a rate of 6.5% per year.

Each term in the expression represents a cash flow at a specific time in the future, and the denominator in each term represents the discount factor, which reflects the time value of money.

The first term, $250,000 / (1+0.065)^1, represents a cash flow of $250,000 that will be received in one year.

To determine its present value, we divide it by the discount factor (1+0.065)^1, which reflects the fact that the money will be received one year from now and is, therefore, less valuable than money received today.

Similarly, the second term, $37,500 / (1+0.065)², represents a cash flow of $37,500 that will be received in two years.

To determine its present value, we divide it by the discount factor (1+0.065)²,

which reflects the fact that the money will be received two years from now and is, therefore, less valuable than money received today.

This process is repeated for each term in the expression, representing cash flows that will be received in three, four, five, and six years, respectively.

The sum of these present values represents the total present value of the cash flows or the amount that they are worth today if they are discounted at a rate of 6.5% per year.

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Answer:

The surface area of the cylinder is \(\mathbf{70\pi\;\textbf{cm}^2}\)

Step-by-step explanation:

The surface area of a cylinder is express

  \(S=2\pi rh\)

where \(r\) is the radius of the cylinder and \(h\) its height

Therefore, if the radius of the cylinder is

  \(r=5\;\text{cm}\)

and its height

  \(h=7\;\text{cm}\)

the surface area should be

  \(S=2\pi r h\\S=2\pi (5\;\text{cm})(7\;\text{cm}) \;\;\;\;\;\Rightarrow\;\;\;\;\; \mathbf{S=70\pi\;\textbf{cm}^2}\)

When computing the gross-up pay for the bonuses of Padua Products employees, the factors to consider are:

Gross-up refers to the additional money (bonuses) an employer may decide to pay employees to offset any additional income taxes (Social Security, Medicare, etc.).

Mandated deductions include federal and state income tax, FICA taxes, and wage garnishments.

Thus, while mandated deductions are not considered in grossing up the pay of employees, social security and Medicare and income taxes and desired bonus amounts are factored in.

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Required:

What amount(s) should you consider when computing the grossed-up pay? (Select the three (3) correct amounts.

a. Mandated deductions

b. Social Security and Medicare taxes.

c. Desired bonus amount.

d. income tax(es).

Answer:

He has 30 penguins and 10 cats.

Step-by-step explanation:

Let's define the variables:

C =  number of cats.

P = number of penguins.

We know that he has a total of 40 pets, then:

C + P = 40

We also know that the total heads (40 heads, each animal has one) plus the number of wings (P*2, each penguin has 2) is equal to the number of feet of his pets (4*C + 2*P, because each cat has 4 paws, and each penguin has 2)

Then we have the equation:

40 + 2*P = 4*C + 2*P

Notice that in the second equation we have the term 2*P in both sides of the equation, then we can just subtract 2*P in both sides to get:

(40 + 2*P) - 2*P = 4*C + 2*P - 2*P

40 = 4*C

Now with this, we can find the value of C.

40/4 = C = 10

Then he has 10 cats.

Now we can replace this in the equation:

P + C = 40

to find the value of P

P + 10 = 40

P = 40 - 10 = 30

P = 30

He has 30 penguins.

Answer:

x = 16°

Step-by-step explanation:

What we know:

∠JML = 47°

∠JKL = (7x + 21)°

∠JML is an inscribed angle

∠JKL is an inscribed angle

Inscribed angles are half of the value of their intercepted arc

So if m∠JML = 47° then mArc JL is double that or 94°

And ∠JKL is intercepted by Arc JML which is the rest of the circle not intercepted by ∠JML so

mArc JL + Arc JML = 360°

94 + Arc JML = 360

Subtract 94 from both sides to isolate Arc JML

Arc JML = 266°

So if Arc JML = 266° then it's intercepted inscribed angle is half of that.

Arc JML ÷ 2 = ∠JKL

266 ÷ 2 = ∠JKL

133 °= ∠JKL

Now we can use this value and set it equal to the expression to find the value of x

(7x + 21) = 133

Subtract 21 from both sides to isolate the x

7x = 112

Divide both sides by 7

x = 16

Answer:

Step-by-step explanation:

focus (1 , -7)  ⇒ a = 1  & b = -7

y = 1 ⇒ c = 1

Equation of parabola :

(x - a)² + (y - b)² = (y - c)²

(X - 1)² + (y + 7)² = (y - 1)²

Now, expand.

x² - 2x + 1 + y² + 2*7*y + 7² = y² - 2*y*1 + 1

x² - 2x + 1 + y² - 14y + 49 = y² - 2y +1

x² - 2x + 1 + y² - 14y +  49  - y² + 2y - 1 = 0

x² - 2x  + y² - y²   - 14y + 2y   + 1 + 49 - 1 = 0

x² - 2x  - 12y + 49 = 0

Answer:

amount 291 I'm not sure abt the others

Answer:

b

Step-by-step explanation:

Based on the information given the amount that was in the fund to begin with is $22.8 billion.

Using this formula

Fund amount=Credit unions amount paid/Reserve fund percentage

Where:

Credit unions amount paid=$1.92 billion

Reserve fund percentage=8.42% or 0.0842

Let plug in the formula

Fund amount=$1.92 billion/0.0842

Fund amount=$22.8 billion

Inconclusion  the amount that was in the fund to begin with is $22.8 billion.

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By using the rules:

\(cos(-x) = cos(x)\\\\sec(x) = \frac{1}{cos(x)}\)

We have proven the identity. Below you can follow the demonstration.

Here you need to remember two things:

\(cos(-x) = cos(x)\\\\sec(x) = \frac{1}{cos(x)}\)

Here we have the expression:

\(\frac{1 - cos(-x)}{sec(-x) - 1}\)

By using the first rule, we can rewrite:

\(\frac{1 - cos(-x)}{sec(-x) - 1} = \frac{1 - cos(x)}{sec(x) - 1}\)

By using the second rule, we can rewrite:

\(\frac{1 - cos(x)}{sec(x) - 1} = \frac{1 - cos(x)}{\frac{1}{cos(x)} - 1}\)

Now if we multiply and divide by cos(x), we get:

\(\frac{1 - cos(x)}{\frac{1}{cos(x)} - 1} = \frac{1 - cos(x)}{\frac{1}{cos(x)} - 1} *\frac{cos(x)}{cos(x) } = \frac{(1- cos(x))*cos(x)}{1 - cos(x)} = cos(x)\)

In this way, the identity was proven.

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Answer:

8 \(\frac{2}{3}\) cups of dough

Step-by-step explanation:

2/3 cup for every dumpling

13 dumplings

x = dough

x = 2/3 * 13

x = 26/3

x = 8 \(\frac{2}{3}\) = 8.667

Answer:

Step-by-step explanation:

f(x)=2(2x+3)(x−3)
hope this helps

g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8

The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.

Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).

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"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

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Answer:

-13x + y = -12

Step-by-step explanation:

As,

Here when,

y = 13x - 12

-13x + y = -12.

[Since '+' sign converts to '-' sign on opposite side of the equation]

Answer: A

Step-by-step explanation:

In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.

The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

h(x) = (x+1)²

h(-2) = 1

h(-1) = 0

h(3) = 8

In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.

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Answer:

15 + 16 + 17 + 18 + 19 + 20 + 21 + 22 + 23 + 24 + 25 = 220

220/11 = 20

The answer is 20.

You can find this by adding all of the numbers in the data set together and then dividing it all by numbers of values you added! (The mean is the same as an average.)

Let l be the length of the rectangle and w be its width.

Since the length is 7 feet less than 5 times the width, and the perimeter is 94 feet we can set the following system of equations:

Substituting the first equation in the second one we get:

Applying the distributive property we get:

Adding like terms we get:

Adding 14ft to the above equation we get:

Dividing the above equation by 12 we get:

Finally, substituting w=9ft in the first equation we get:

Answer: The length of the rectangle is 38ft and its width is 9ft.

Without additional details, we cannot determine the number of two-dozen tulip arrangements the florist should expect to sell with the anticipated 4,600 more customers.

To determine the number of two-dozen tulip arrangements the florist should expect to sell if they anticipate 4,600 more customers, we need to examine the given results and make a reasonable assumption based on the available information.

Unfortunately, the given results or information regarding the number of tulip arrangements sold or the relationship between customers and sales are not provided. Without this data, it is not possible to accurately estimate the number of arrangements that will be sold with an additional 4,600 customers.

To make an accurate prediction, we would need more information such as the average number of tulip arrangements sold per customer or any patterns or trends observed in the sales data.

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The answer is A which is 30. :D

Answer:

30

Step-by-step explanation:

2x + x - 10 = 80

3x - 10 = 80

3x (- 10 + 10)= 80 + 10

3x = 90

3x/3 = 90/3

x = 30

Answer:

21.6 magazines

Step-by-step explanation:

260/12=21.6

Answer:

It is correct please I do not want yo sound rude can you give me brainliest answer.

Answer:

correct steps

Step-by-step explanation:

if asked to find angles in terms of the ratios, then don't forget to shift sin / cos / tan across the equal sign and change it to arc sin / cos / tan.

Answer- 81 3 weird symbol thing/ 2

Step-by-step explanation:

The probability of getting two heads is 1/4

from the question, we have the following parameters that can be used in our computation:

Each single outcome is equally likely

This means that

P(Head) = 1/2

The probability of getting two heads is calculated as

P = P(Head) * P(Head)

Substitute the known values in the above equation, so, we have the following representation

P = 1/2 * 1/2

Evalyate

P = 1/4

Hence, the probability of getting two heads is 1/4

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Answer:

Hello! answer: there are 7 quarters which are worth 25 cents each 6 dimes which are worth 10 cents each

there are 5 nickels which are worth 5 cents each and there are 8 pennies which are worth 1 cent each

the total value off all of these together is $2.68

Answer: Zander Runs, 13.125 miles. You take the mixed number and change it into an improper fraction. So you get 63/4 then multiply that by 5/6 and get 13.125 miles there is your answer. I hope this helps you

Step-by-step explanation:

Answer:

a) The mean number of radioactive atoms that decay per day is 81.485.

b) 0% probability that on a given day, 50 radioactive atoms decayed.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\lambda\) is the mean in the given interval.

a. Find the mean number of radioactive atoms that decayed in a day.

29,742 atoms decayed during 365 days, which means that:

\(\lambda = \frac{29742}{365} = 81.485\)

The mean number of radioactive atoms that decay per day is 81.485.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

This is P(X = 50). So

\(P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0\)

0% probability that on a given day, 50 radioactive atoms decayed.

Answer:

-23

Step-by-step explanation: