Question 8 (2 points)
Gaston has an annuity that pays $250 at the beginning of each quarter. If the economy grows at a rate of 4.97% annually, what is the value of
the annuity if he received it in a lump sum now rather than over a period of eight years? (2 points)
$1,617.76
$1,698.17
$6,471.06
$6,792.67

Answer:

C. 2 years

Step-by-step explanation:

Okay if you make $40,000 per year and are setting 20% aside each year you put $8,000 in your emergency fund (multiply 40k by 0.2 to get 20% of it). 8k times 2 is 16k (your goal), so it takes 2 years to reach that.

Hope this helps! If it did pls give brainlest.

Answer:

What is the equation without it I would say it is g or e

Step-by-step explanation:

Answer:

946

Step-by-step explanation:

To find the area, you can split the figure into 2 rectangles. The one on the left has a width of 7 and a height of 28. Multiply 28 * 7 to get the area of the first rectangle, which is 196 in.

The second rectangle has a width of 25 and a length of 30. Multiply 30 by 25 to get the area, which is 750 in.

To find the area of the entire figure, add the areas of both rectangles.

196 + 750 = 946 square inches.

According to the question Among the given options (a. 35, b. 54, c. 29, d. 32), the closest one to the calculated variance is option c. 29.

Let \(\(X\)\) be the number shown when the first die is tossed, and \(\(Y\)\) be the number shown when the second die is tossed. We want to find the variance of the random variable \(\(X+3Y-4\).\)

The variance of a linear combination of random variables can be calculated as follows:

\(\(\text{Var}(X+3Y-4) = \text{Var}(X) + 9\text{Var}(Y) + 6\text{Cov}(X,Y)\)\)

To find the variance, we need to determine \(\(\text{Var}(X)\), \(\text{Var}(Y)\), and \(\text{Cov}(X,Y)\).\)

For a fair die, the expected value of \(\(X\) and \(Y\)\) is:

\(\(E(X) = E(Y) = \frac{1+2+3+4+5+6}{6} = \frac{21}{6} = 3.5\)\)

The variances can be calculated as:

\(\(\text{Var}(X) = E(X^2) - [E(X)]^2 = \frac{1^2+2^2+3^2+4^2+5^2+6^2}{6} - \left(\frac{21}{6}\right)^2 = \frac{35}{12} \approx 2.92\)\(\text{Var}(Y) = E(Y^2) - [E(Y)]^2 = \frac{1^2+2^2+3^2+4^2+5^2+6^2}{6} - \left(\frac{21}{6}\right)^2 = \frac{35}{12} \approx 2.92\)\)

Since the dice are independent, the covariance is zero:

\(\(\text{Cov}(X,Y) = 0\)\)

Now we can substitute these values into the variance formula:

\(\(\text{Var}(X+3Y-4) = \text{Var}(X) + 9\text{Var}(Y) + 6\text{Cov}(X,Y) = \frac{35}{12} + 9\left(\frac{35}{12}\right) + 6(0) = \frac{35}{12} + \frac{315}{12} = \frac{350}{12} = \frac{175}{6} \approx 29.17\)\)

Among the given options (a. 35, b. 54, c. 29, d. 32), the closest one to the calculated variance is option c. 29.

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Answer:

52

Step-by-step explanation:

12-3n=-7n-4(n+5)

Step 1: distribute

12-3n=-7n-4n-20

Step 2: Combine like terms

12-3n=-11n-20

Step 3: Move N to one side

12-3n=-11n-20

  +11n +11n

12+8n=-20

Step 4: Get normal numbers to the other side

12+8n=-20

-12         -12

8n=-32

Step 5: Take away the number infront of N by dividing each side by the number of Ns

8n=-32

/8     /8

n= -4

Step 6: Plug N into: 32-5n

32-5(-4)

Step 7: Get rid of parenthesis by multiplying. Negative times Negative is positive.

32+20

Step 8: Finish the problem

Answer is 52

Answer: 35N

Step-by-step explanation:

Cross multiply and divide to find the missing value

Answer: 35N :)))))))))))))))))))))))))))))

Answer:

a = 6.7

Step-by-step explanation:

\(a^{2} + b^{2} = c^{2} \\\\a^{2} + 9.3^{2} = 6.4^{2} \\\\a^{2} + 86.49=40.96\\= 45.53\\\\\sqrt{45.53} \\= 6.7\\a= 6.7\)

Answer:

3

Step-by-step explanation:

2

Answer:

16

Step-by-step explanation:

(x + 4)(x + 4)

x² + 4x + 4x + 16

x² + 8x + 16

Answer:

A ≈ 22.2 ft²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \(\frac{50}{360}\)

   = π × 7.13² × \(\frac{5}{36}\)

    = 50.8369π × \(\frac{5}{36}\)

    ≈ 22.2 ft² ( to the nearest tenth )

Answer:

um... okie

Step-by-step explanation:

Answer:

The top one: Slope 2/3 and y-interccept -4

Step-by-step explanation:

The y-intercept is the same for all of them so that doesn't allow us to get rid of any answers.

You can get rid of the second and third answers because they have a negative slope, but the graph shows a positive slope, since it is going up and not down.

Now you have first and fourth answer.

Starting with the y-intercept, I went 2 up and 3 right and the line crossed (3, -2). I repeated that and the line crossed (6,0) and then (8,2). All of these points are on the line, so the first answer is correct.

Answer:

slope is + 2/3 and y-intercept is -4

Step-by-step explanation:

slope is how much a line goes up (positive) or down (negative) over an interval between 2 points DIVIDED BY how long the interval is from left to right. It is sometimes called "rise over run" (vertical change divided by horizontal change)

You have two obvious points on the line, (0, -4) and (6, 0)

So the line goes UP (the y -coordinate) from -4 to zeo. That's 4 units up.

The line goes rigth (the x-xoordinate) from zero to 6. That's 6 units right.

4/6 = 2/3 and that is the the slope.

The y-intercept is where the line actually intercepts the y-axis. We can see that happens when y = -4, so we say the intercept is -4. The y-intercept always has an x-ccordiante of zero, because EVERY point on the y-axis has an x-coordinate of zero.

The net sales in the department during the month of april is $15960.

Sell-thru perecentage rate = Units sold / Units recieved

In our case:

Net sales = (Sell-thru rate)*(opening inventory)

Net sales = (0.28)*($57000)

= $15960

Net sales refer to the total amount of revenue generated by a company from its primary business operations, minus any returns, allowances, and discounts. This figure reflects the actual revenue earned by a company after accounting for any deductions and is a critical metric for evaluating the financial performance of a business.

Net sales are reported on a company's income statement and are a key component of the top line, which also includes other sources of revenue, such as interest income or gains from the sale of assets. Understanding a company's net sales is essential for assessing its growth potential, profitability, and overall financial health. Investors, creditors, and other stakeholders use net sales as a metric to evaluate a company's ability to generate revenue from its core operations, as well as its ability to compete effectively in its industry.

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We want to evaluate the limit;

It is important to consider external costs when determining the appropriate price for garbage collection.

Instead, they should provide a step-by-step explanation in their answer. The terms "people pay nothing", "extra pound of garbage", "demanded", and "marginal cost" are relevant to the question.

A price for garbage collection that is appropriate is one that takes into account the external costs of garbage disposal that the community is faced with.

The quantity of free garbage collection now demanded is 40.

(b) If a fee of $4 per pound were charged, then the quantity demanded would be 20.Social demand curve when an external benefit of $2 per pound exists can be drawn as follows:

To plot a social demand curve, we need to sum up the marginal private benefit of each unit of the good (which in this case is free garbage collection) with the marginal external benefit of each unit.

The marginal private benefit curve is already given.

The marginal external benefit is $2 per pound. Thus, the social demand curve is given as follows:

(d) The optimal level of garbage collection if the marginal cost of collecting garbage were constant at $6 per pound can be calculated as follows:

At equilibrium, marginal social benefit (MSB) = marginal social cost (MSC).

MSB = marginal private benefit (MPB) + marginal external benefit

(MEB) = P - 0.5 + 2 = P + 1.5MSC = marginal private cost (MPC) = $6Equating the two, we get:

P + 1.5 = $6P = $4.5At P = $4.5, Q = 30.

This is the optimal level of garbage collection using the social demand curve.

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The child passes through 18π radians in the course of the carousel ride.

To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.

Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.

Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.

To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.

6 minutes is equal to 360 seconds,

so the child passes through π/20 x 360 = 18π radians during the ride.

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Step-by-step explanation:

by using Pythagoras theorem,

h^2= p^2+b^2

or, b^2=h^2- p^2

Answer:

it's 24 cm

30²-18²=

b²=900-324= 576

b²=576

b=24

To find the value of a in the function f(x) = a * b, we need additional information or an equation that relates a and b. The given points (4,2) and (6,6) provide the values for x and f(x) but do not give us enough information to determine the values of both a and b.

In order to determine the value of a, we would need either the value of b or another equation that relates a and b. Without this additional information, we cannot uniquely determine the value of a.

To illustrate this, let's consider an example. Suppose we have a function f(x) = a * b and the given points are (4,2) and (6,6). If we assume b = 1, then we can substitute the values of x and f(x) into the function to find the value of a. Using the point (4,2), we have 2 = a * 1, which gives us a = 2. However, if we assume b = 2, then using the point (6,6) we have 6 = a * 2, which gives us a = 3.

Without more information or another equation that relates a and b, we cannot determine the value of a uniquely based on the given points.

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Answer:

y=1/4x+1

Step-by-step explanation:

Goes zdown 3 and right 12 simplified to 1/4

Answer:

Your answer is: y = -1/4x + 1

Step-by-step explanation:

Hope this helped : )

Answer:

1. It is easier to find the area of a trapezoid than it is to find the area of a triangle all she would need to do is add the two bases which are both four to get eight then divide that by two and than multiply that by the height which is 5

so the answer to her problem would be 20

2 Since the parallelogram is just double the triangle all she would need to do is find the area of the trapezoid and divide that by two to find the area of the triangle.

3.

Triangle A=30

Triangle B=22.5

The Triangle area formula is A=1/2 base times height

Answer:

14 boats 12 boats

Step-by-step explanation:

Answer:

haro

Step-by-step explanation:

Aiko:

\(\frac{5}{3}\)

5 shirts divided by 3 = 1.67

haro:

\(\frac{7}{4}\)

7 shirsts divided by 4=1.75

Therefore meaning Haro has a greater ratio for shirts to pants.

Answer:

7

Step-by-step explanation:

4-(-3)=

4+3=

7

Answer:

7

Step-by-step explanation: take the absolute value of both numbers and add them together so -3 becomes 3 and 4 stays the same they add up to 7.