The school playground is in the shape of a pentagon. There is a drinking fountain at each of the 5 corners of the playground. Th

According to the triangle sum theorem, the total of all angles in a triangle must equal 180 degrees. Given that one angle measures 90 degrees, we can determine the other angles by calculating 180-90=90. The remaining two angles must sum to 90 degrees, precisely.

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.

Response:

The Work In Progress (WIP) limit is set at 0.50 days.

Detailed explanation:

Calculating WIP limits:

first, it is essential to determine the efficiency of the process and procedure, which can be calculated as follows:

Value Added Time = 12 days (arrival time)

Non-Value-Added Time = 12 days (departure time)

Efficiency = Value Added / (Value Added + Non-Value Added)

                = 12 / (12+12)

                = 12 / 24

               = 0.50 or 50%

the minimum required throughput time is 0.25 days to achieve the maximum profits

WIP limit = Throughput time / Efficiency

               = 0.25 / 50%

               = 0.50 days.

The WIP limit is 0.50 days.

Answer:

A) Maia had 1920 beads more.

B) Maia had 2544 beads at first.

Step-by-step analysis:

Let x denote the beads with Jenny and y for Maia.

The information provided states that Maia possesses 2064 beads more than Jenny, which can be represented mathematically as:

Additionally, after Maia made a necklace with 144 beads, she had five times more beads than Jenny.

This can also be formulated as an equation:

A) Since Maia had 2064 beads more than Jenny before using 144 beads, we calculate her final bead count by subtracting 144 from 2064.

Thus, Maia is left with 1920 beads more than Jenny.

B) To solve this system of linear equations, we will utilize the substitution method.

By inserting equation (1) into equation (2), we arrive at:

Now, let's divide our equation by 4.

Now, we'll substitute x=480 into equation (1) to isolate y.

Conclusively, Maia initially had 2544 beads.

The elements that are visible include A, B, and C.