On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, ne

answer:

Detailed explanation:

Option A: $1,565 monthly over 72 months

The total comes to $112,680

Option B: $1,012 each month for 10 years,

which is the same as 120 months

Thus, the total amount received is 1012×120

equaling $121,440.

Option C:

Receive $100,000 in a single payment.

All the details presented are accurate.

However,

As the individual has no preference whether to take the money personally or let it go to an heir, we can disregard the lump sum payment option of $100,000.

Furthermore, as they are willing to wait and are indifferent about who benefits from the insurance payout, the 72-month option can also be overlooked.

Therefore, choosing the second option is advisable since it provides the highest total and the most payments over time.

Waiting for ten years will yield $121,440.

Answer: The correct choice is (C) A = {1, 2, 3, 4, 5, 7, 8}.

Step-by-step explanation: We have eight identical slips of paper, each numbered from one to eight, which have been mixed inside a bag.

The sample space, S is as follows:

S = {1, 2, 3, 4, 5, 6, 7, 8}.

Subset A consists of the complement of the event where the number 6 is drawn.

Let 'B' denote the event of drawing the number 6.

Thus, B = {6}.

Since 'A' represents the complement of 'B', it will include all elements in the sample space 'S' that are not part of set 'B'.

Therefore,

A = B' = {1, 2, 3, 4, 5, 7, 8}

So, A = {1, 2, 3, 4, 5, 7, 8}.

Consequently, (C) is the correct choice.

Answer:

13%

Detailed breakdown:

Information provided:

• MP = 2080
• Discount = d%
• VAT = (d-2)%
• Cost = 1997.84

Applying the discount:

• 2080 - d% = 2080*(1 - 0.01d)

Including VAT:

• 2080*(1 - 0.01d) + (d - 2)%
• 2080*(1 - 0.01d) * (1 + (d -2)/100)
• 2080*(1 - 0.01d) * (0.98 + 0.01d) = 1997.84
• (1 - 0.01d)(0.98 + 0.01d) = 1997.84/2080
• 0.98 + 0.01d - 0.0098d - 0.0001d² = 0.9605
• - 0.0001d² + 0.0002d + 0.98- 0.9605 = 0
• 0.0001d²- 0.0002d - 0.0195 = 0
• d² - 2d + 195 = 0

Solving this quadratic equation yields:

• d = 15

Therefore

• VAT rate = 15 - 2 = 13%

The capacity is approximately 3.5 fluid ounces. In order to determine this, we need to compute the volume of a cone-shaped cup. The formula for the volume of a cone is: 1/3 * π * r^2 * h, where r equals the diameter divided by 2, which gives 1.35 inches, and h equals 3.3 inches. After substituting these values, we find the volume to be V = 1/3 * 3.14 * 1.35^2 * 3.3 = 6.3 cubic inches. To convert cubic inches to fluid ounces, we use the relationship that 1 fluid ounce is equal to 1.8 cubic inches. Therefore, x fluid ounces equal to 6.3 cubic inches leads to x = 6.3 / 1.8, which results in 3.5 fluid ounces.

The ratio of total members in the group stands at 5:7, meaning that among every 7 members, there are 5 men and 2 women. We can set it up as a proportion: 5:7 = x:735, leading to the equation 5/7 = x / 735. By cross-multiplying, we get 7*x = 5 * 735, simplifying to 7*x = 3675. Dividing this by 7 results in x = 525. Therefore, there will be 525 men in total.