Simplify the expression below.(43+1)^3
A. 1223 + 1
B. 6432 + 1
C. 6413 + 48y2 + 16y + 3
D. 6413 + 4812 + 12y + 1

Answers

Answer 1

Answer: I believe the answer is C

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g let X be a normally distributed random variable with mean 3 and variance 4. a) Let Y = 5X+2. What is the distribution of Y? What are its mean and variance? b) Find P(Y<10). Find P(X<10). c) What is the 99th percentile of the distribution of Y? d) What is the 99th percentile of the distribution of X? e) What is the distribution of W = exp(Y)? What are its mean and variance?

Which inequality is equivalent to |x-4|<9?

Answers

Answer:

–9 < x – 4 < 9

Help help help math math ASAP

Answers

Answer:

Step-by-step explanation:

f(-3) = 2 * (-3) + 10

When the Chili restaurant chain was in ﬁnancial trouble.its CEO directed the managers of each of the chain's restaurant to trim costs without sacriﬁcingcustomer satisfaction.Which of the following did the CEO use to make restaurant managers accountable for cost-cutting measures?A) substitution8) transpositionC) delegation of authorityD) job sharing

Answers

Answer: Option C : delegation of authority

Step-by-step explanation:

the CEO used DELEGATION OF AUTHORITY approach to make restaurant managers accountable for cost-cutting measures in the above case.

Final answer:

The CEO of the Chili restaurant chain used the delegation of authority principle to make restaurant managers responsible for cost-cutting measures without sacrificing customer satisfaction.

Explanation:

In the situation described, the Chili restaurant chain's CEO used delegation of authority to make restaurant managers accountable for cost-cutting measures. Delegation of authority refers to the process of passing down responsibilities and decision-making power from upper to lower levels of management. In this case, the CEO entrusted the restaurant managers with the responsibility of reducing costs, while also maintaining customer satisfaction. Using this strategy, the CEO was able to shift accountability to the managers, who now have the authority to manage their resources and strategize their cost-cutting measures in a manner that would not compromise the level of satisfaction of their customers.

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What is the initial value of the exponential function shown on the graph? a. 0, b. 1, c. 2, d. 4

Answers

Answer:

Step-by-step explanation:

4 is the initial value of the exponential function shown on the graph.

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On each trial of an experiment, a subject is presented with a constant soft noise, which is interrupted at some unpredictable time by a noticeably louder sound. The time it takes for the subject to react to this louder sound is recorded. The following list contains the reaction times (in milliseconds) for the trials of this experiment: 296, 311, 202, 217, 231, 171, 241, 164, 257, 269, 175, 273, 285, 226, 261 Find 25th and 80th percentiles for these reaction times.

Answers

Answer:

25th percentile = 202

80th percentile = 285

Step-by-step explanation:

Rearranging the values in increasing order

164

171

175

202

217

226

231

241

257

261

269

273

285

296

311

N = total number of variables = 15.

25th percentile = [(N + 1)/4]th variable = (15 + 1)/4 = 4th variable.

So, the 25th percentile = 4th variable = 202.

80th percentile = 0.8(N + 1) th variable = 0.8 × (15 + 1) = 12.8th variable = 13th variable = 285

Final answer:

To find the 25th and 80th percentiles for the reaction times, sort the list and determine the corresponding values.

Explanation:

To find the 25th and 80th percentiles for the reaction times in this experiment, we need to first sort the list in ascending order:

The 25th percentile is the value that separates the lowest 25% of the data. In this case, it is the 4th value in the sorted list, which is 202 milliseconds. The 80th percentile is the value that separates the lowest 80% of the data. In this case, it is the 12th value in the sorted list, which is 273 milliseconds.

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Suppose an individual makes an initial investment of $3,000 in an account that earns 6.6%, compounded monthly, and makes additional contributions of $100 at the end of each month for a period of 12 years. After these 12 years, this individual wants to make withdrawals at the end of each month for the next 5 years (so that the account balance will be reduced to $0). (Round your answers to the nearest cent.)(a) How much is in the account after the last deposit is made?
(b) How much was deposited?
(c) What is the amount of each withdrawal?
(d) What is the total amount withdrawn?
I get A and C. If you could explain B and D I'd appreciate it.

Answers

Answer:

b) $17,400

d) $33,517.20

Step-by-step explanation:

a) $28,482.19 . . . . future value of all deposits

b) The initial deposit was $3000, and there were 144 deposits of $100 each, for a total of ...

$3000 +144×100 = $17,400 . . . . total deposited

c) $558.62

d) 60 monthly withdrawals were made in the amount $558.62, for a total of ...

60×$558.62 = $33,517.20 . . . . total withdrawn

_____

Additional information about (a) and (c)

(a) The future value of the initial deposit is the deposit multiplied by the interest multiplier over the period.

A = P(1 +r/n)^(nt) = 3000(1 +.066/12)^(12·12) = 3000·1.0055^144 ≈ 6609.065

The future value of $100 deposits each month is the sum of the series of 144 terms with common ratio 1.0055 and initial value 100.

A = 100(1.055^144 -1)/0.0055 ≈ 21,873.123

So, the total future value is ...

$6609.065 +21873.123 ≈ $28482.188 ≈ $28,482.19

(c) The withdrawal amount can be found using the same formula used for loan payments:

A = P(r/n)/(1 -(1 +r/n)^(-nt)) = $28482.19(.0055)/(1 -1.0055^-60) ≈ $558.62

Final answer:

The total amount deposited in the account was $17,400 including an initial investment of $3,000 and subsequent monthly payments of $100 for 12 years. The total amount withdrawn was equal to the final balance after the last deposit.

Explanation:

Let's tackle each question one by one:

You've mentioned that you have already figured out part (a) and (c), so let's move on to part (b).
(b) How much was deposited?The individual started with an initial deposit of $3,000. After that, they deposited $100 at the end of each month for 12 years. That's 12 years * 12 months/year * $100/month, for a total of $14,400. So, if you add the initial deposit, the total amount deposited over the whole period is $3,000 + $14,400 = $17,400.
(d) What is the total amount withdrawn?The total amount withdrawn is the same as the final balance of the account after the last deposit, as the question states the account balance will be zero after the withdrawals. Since you have already figured out part (a) which is the account balance after the last deposit, the total amount withdrawn corresponds to that sum.