An arc on a circle measures 250°. Within which range is the radian measure of the central angle? 0 to StartFraction pi Over 2 En

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 statements are options 1 (E F + F G > E G), 2 (E G + F G > E F), and 5 (E G + E F < F G).

Step-by-step explanation:

We have triangle EFG.

For any triangle with sides a, b, and c, these inequalities hold:

Specifically for triangle EFG:

• 
• 
• 

Thus, the true statements are options 1, 2, and 5.

Statements 3 and 4 are incorrect.

ఈ క్రింది విధంగా వివరణ: 25% 6.5% 35% కీ వివరణతో: ఇన్వాయిస్ ఇచ్చినప్పుడు: జీన్స్ కోసం బిల్ 39.99; డిస్కౌంట్ - 10.00; సబ్టోటల్ 29.99; నగదు పన్ను 1.95; మొత్తం 31.94. A) % డిస్కౌంట్ దగ్గరికి % క్రితం క్రింది అంచనా మార్క్; డిస్కౌంట్ మొత్తం = % డిస్కౌంట్ * ధర; 10 = x% * 39.99; 10/39.99 = x%; 0.2500625 = x%; x = 0.2500625 * 100%; % డిస్కౌంట్ = 25% % నగదు పన్ను; నగదు పన్ను మొత్తం = % పన్ను * సబ్టోటల్; 1.95 = x% * 29.99; 1.95/29.99 = x%; 0.06502 = x%; x = 0.06502 * 100%; x = 6.5%; డిస్కౌంట్ కంటే ముందు మార్కప్ = 60%; డిస్కౌంట్ తరువాత మార్కప్ = (60 - 25)% = 35%.

Answer:

At a confidence level of 90%, the margin of error is calculated to be 0.5133 grams.

Step-by-step explanation:

The formula for margin of error (E) is: (critical value × sample standard deviation) ÷ sqrt(n)

The sample standard deviation is 1.5 grams.

A 90% confidence level translates to 0.9.

Significance level is determined as 1 - C, which equals 1 - 0.9 resulting in 0.1 or 10%.

The sample size (n) is 25.

Degrees of freedom are calculated as n - 1, which is 25 - 1 equaling 24.

The critical value (t) for 24 degrees of freedom at a significance level of 10% is found to be 1.711.

Using these values, we calculate: E = (1.711 × 1.5) ÷ sqrt(25) = 2.5665 ÷ 5 = 0.5133 grams.

Answer: To eliminate the y terms and solve for x with minimum steps, we should multiply the first equation by 9 and the second equation by -4.

Step-by-step explanation:

Given: Equation (1) 5x − 4y = 28

Equation (2) 3x - 9y = 30

To eliminate the y-terms and determine x in the fewest operations, it requires us to multiply equation (1) by 9 and equation (2) by -4 to have

9(5x − 4y) =9 (28) ⇒ 45x - 36y = 252

-4(3x - 9y) = -4(30) ⇒ -12x + 36y = -120

By adding both equations together, the y-term is eliminated, leading to 45x - 12x = 132

⇒ 33x = 132 ⇒ x = 4.