You are considering buying one of two brands of barbecue grills. Brand F costs $650 and will last for about fifteen years. Brand G costs $200 and will last for about five years, so you will need to buy three of them over the years to equal one Brand F grill. In either case, you plan to pay for the grill with your credit card, which has an interest rate of 13.01%, compounded monthly. You will pay off a Brand F grill in five years of monthly payments, and you will pay off a Brand G grill in three years of monthly payments. Assuming that you have no other purchases on your credit card, over a fifteen-year period, which kind of grill will be cheaper, and how much cheaper will it be? (Round all dollar values to the nearest cent.) a. Brand G will end up costing $159.48 less than Brand F. b. Brand G will end up costing $50.00 less than Brand F. c. Brand F will end up costing $134.28 less than Brand G. d. Brand F will end up costing $91.08 less than Brand G.

The value of x and y are 0.5 and 4 respectively.

2x+3y=13 ..... i

4x-y=-2 ...... ii

Multiply equation i by 4

Multiply equation ii by 2

8x + 12y = 52 ..... iii

8x - 2y = -4 ...... iv

Subtract iv from iii

14y = 56

Divide both side by 14

14y/14 = 56/14

y = 4

Since 4x-y=-2

4x - 4 = -2

4x = -2 + 4.

4x = 2

x = 2/4 = 0.5

Therefore, x = 0.5 and y = 4

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Answer:

–1 yard per play

Step-by-step explanation:

To find the average, add together all of the outcomes and divide by the number of plays, 6:

(-3+2+-1+-2+-3+1)/6 = -6/6 = -1

Answer: -1 yard per play

Step-by-step explanation:

The average of a data set is given by :-

[tex]\text{Average}=\frac{\text{Sum of all data values}}{\text{Total number of values}}[/tex]

Given: The total number of plays =6

Sum of the change in field position resulting from each play is given by :-

[tex]\text{Sum}=-3+2+(-1)+(-2)+(-3)+1=-3+2-1-2-3+1=-6[/tex]

Now, the average change in field position per running play is given by :-

[tex]\text{Average}=\frac{\text{Sum}}{\text{Total plays}}\\\\=\frac{-6}{6}=-1[/tex]

Hence, the average change in field position per running play is -1 yard per play.

replace n with 1, 4 and 10 and solve the equations:

 answers would be D. –6, 12, 48

-6+(1-1)*6 = -6

-6+(4-1)*6 = 12

-6+(10-1)*6 = 48

By calculating the z-score for an attendance of 50,000 and referring to the z-table, we find that the probability that a randomly selected game had an attendance greater than 50,000 is approximately 18.67%.

In this question, we are given that the average attendance for a baseball season is 41,602 with a standard deviation of 9,440. We are asked to find the probability that a randomly selected game had an attendance greater than 50,000.

First, we have to find the z-score, which is calculated as: z = (X - μ) / σ , where X is the value from our dataset (in this case, 50,000), μ is the mean (41,602), and σ is the standard deviation (9,440). Plugging the numbers in, we get: z = (50000 - 41602) / 9440 ≈ 0.89.

Typically, the area to the right (greater than) of z = 0 is 0.5 in a standard normal distribution. However, we are interested in the area to the right of z = 0.89. To find this area, we can look at a z-table or use a calculator with a normal distribution function. The area to the right of z = 0.89 is approximately 0.1867, which means that the probability a randomly selected game had an attendance greater than 50,000 is roughly 18.67%.

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To calculate the cost of pizzas at Copper Creek Pizza with their special offer, we use provided formulas for up to 4 pizzas, and extend those to 20 pizzas. The total cost for 20 pizzas would be $178.50. If a group ordered together, they could save $34 by placing one order for 15 pizzas instead of separate orders.

To complete the table showing the cost of ordering up to 4 large pizzas from Copper Creek Pizza, we calculate the total cost based on the special deal provided. For any additional large pizza after the first one, the price is $8.50 each.

The explicit rule for the cost of n large pizzas is Cost = 17 + 8.50(n - 1), where n is the number of pizzas ordered.

The recursive rule is Costn = Costn-1 + 8.50, with the initial condition Cost1 = 17.

For part (c), the cost of ordering 20 large pizzas is calculated as: Cost = 17 + 8.50(20 - 1) = 17 + 8.50(19) = 17 + 161.50 = $178.50.

For part (d), if five people each make an order for 3 large pizzas, the total cost would be 5 x ($17 + 2 x $8.50) = 5 x ($34) = $170. If they placed one order for 15 pizzas, the cost would be $17 + 14 x $8.50 = $136. Therefore, they would have saved $170 - $136 = $34.

The problem is solved by forming and solving algebraic equations derived from the provided information. After manipulating the equations, we find that 375 adult tickets were sold.

This problem can be solved using algebraic equations. Let's denote the number of adult tickets sold as x and the number of student tickets as y. From the problem, we know two things:

Now we can substitute the second equation into the first to get rid of y:

x + (x - 68) = 682.

This simplifies to 2x - 68 = 682. Adding 68 to both sides gives 2x = 750. Dividing both sides by 2 results in x = 375. This means that 375 adult tickets were sold.

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Final answer:

To solve V =[tex](1/3)\pi r^2h[/tex] for r, multiply both sides by 3, then divide by πh, and finally take the square root of both sides to get r = √(3V / (πh)).

Explanation:

The student has asked to solve the equation V = [tex](1/3)\pi r^2h[/tex] for r, where V is the volume of a cylinder, r is the radius, and h is the height. To do this, we will isolate r on one side of the equation:

Multiply both sides of the equation by 3 to get rid of the fraction: 3V = [tex]\pi r^2h[/tex].

Divide both sides of the equation by πh to solve for [tex]r^2[/tex]: [tex]r^{2}[/tex] = 3V / (πh).

Take the square root of both sides to solve for r: r = √(3V / (πh)).

This gives us the formula for r in terms of V and h.

Answer:

the slope of the function is -6

Step-by-step explanation:

Hello

You could  use the slope formula to find the slope of this linear function.  

just two points are needed,let´s take these ones

p1(-1,2)  and p2(0,-4)

[tex]s=\frac{y2-y1}{x2-x1} \\s=\frac{-4-2}{0-(-1)} \\s=\frac{-6}{1} \\s=-6[/tex]

so, we have that the slope of the line is -6

I hope it helps you

Have a fantastic day

The slope of the line is -6, the first option.

What is the slope?

If a line has two points (x₁, y₁) and (x₂, y₂), then the slope of the line is given by:

a = (y₂ - y₁)/(x₂ - x₁)

Here we can use the first two points (-2, 8), (-1, 2) to get:

a = (2 - 8)/(-1 + 2) = -6

The correct option is the first one.

Answer:The real answer is actually {-6,-4}

Step-by-step explanation: There's the answer hope that helps

Aubrey can run 9 miles in 90 minutes at her pace of 6 miles per hour.

To find how many miles Aubrey can run in 90 minutes, we can use the formula:

[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]

Given that Aubrey can run at a pace of 6 miles per hour and there are 90 minutes in 1.5 hours:

[tex]\[ \text{Distance} = 6 \, \text{miles/hour} \times 1.5 \, \text{hours} \]\[ \text{Distance} = 9 \, \text{miles} \][/tex]

Therefore, Aubrey can run 9 miles in 90 minutes at her pace.