Q and A for the topic: General

Exercise 3 (15 points): Demonstrate the following properties, justifying: 1) If A, B and C are matrices of format m × n, then A + (B + C) = (A + B) + C. 2) If A is a matrix of format m × n and r, s are scalars, then (r + s)A = rA + sA.

X =+5/4 =7/4

The length of an empty cuboid room is 6 m, the width is 75% of it, and the height of the room is the length 2/5of the room. How many cubic meters of air are in this room?

Find an equation of the plane α if it passes through the point M (1,2,1) and is parallel to the plane β with equation 4x - y + z + 10 = 0.

A manufacturer of custom drinking mugs has a fixed setup cost of $1,000 per order plus a variable cost of $1.50 per mug. How many mugs were produced when the total cost was $2, 800?

The MSC was curious to see whether they could say that the mean number of visits per student after COVID is more than during COVID. We randomly took a sample of 64 students that visited the MSC during COVID and the mean number of visits was 2.8 with a standard deviation of 1.05. After COVID we took a random sample of 64 students that visited the MSC and found the mean number of visits per student was 3.2 with a standard deviation of 1.12. Run a hypothesis test at a significance level of 0.10 on the claim that the mean number of visits per student after COVID is greater than during COVID. Answer: 1. Null and Alternative Hypothesis 2. Test Statistic 3. P-Value - just state the p-value 4. Decision 5. Conclusion

Solve 4y +3c=b-4 solve for y

Find future value of a bank account after 3 years if present value is $4000 earns 4.6% p.a interest comppoundly quarterly

Aleander invested $16400 over 6 years at 7.4 % p.a invest compounded monthly. calculate value of investment after 4 years ?

ABC Corp. has just paid a dividend of $0.45. ABC has an annual required return of 11.68%. Attempt 1/5 for 10 pts. Part 1 If dividends are annual and expected to be constant, what is the value of the stock? 3.85 Correct ✓ Attempt 1/5 for 10 pts. Part 2 What is ABC's dividend yield? 11.88% Correct ✓ Attempt 1/5 for 10 pts. Part 3 From now on, assume that the dividend of $0.45 was a quarterly dividend. What is the quarterly discount rate? 2.7732% Correct ✓ Attempt 2/5 for 9 pts. Part 4 What is the value if dividends are constant and quarterly? 16.2 Correct ✓ Attempt 1/5 for 10 pts. Part 5 We now think that dividends will grow by 0.5% from quarter to quarter. The firm just paid the quarterly dividend of $0.45. What is the value of the stock? 19.88 Correct ✓ Attempt 2/5 for 9 pts. Part 6 A different analyst thinks that ABC's dividends will grow by 5% for the next 4 quarters, and then grow by 0.5% thereafter. What is the value of the stock?

Intro You bought a 10-year zero-coupon bond with a face value of $1,000 and a yield to maturity of 3.1% (EAR). You keep the bond for 5 years before selling it. Attempt 1/5 for 10 pts. Part 1 What was the price of the bond when you bought it? Part 2 What is the rate of return (HPR) if the yield to maturity is 4.9% when you sell the bond? Part 3 What is the rate of return (HPR) if the yield to maturity is 1.9% when you sell the bond?

Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 10 passengers per minute, and passenger arrivals follow a Poisson distribution. (Round your answers to six decimal places.) solve and Compute the probability that three or fewer passengers arrive in a one-minute period. solve and Compute the probability of no arrivals in a 21-second period. solve and Compute the probability of at least one arrival in a 21-second period.

3(x+6)=39 then x =

A bag holds black, white and green marbles. If one marble is randomly chosen from the bag, the probability that it is black is 3/5. The probability that it is white is equal to the probability that it is green. If there are 9 black marbles, how many marbles are in the bag?

A ball moves and travels 144m in 12 seconds, what is the speed?

A ball moves and travels 144 m in 12 seconds, what is the speed?

2^x=2

2^(x+2)=8

Say you have two 5-sided dice. What is the probability of rolling these dice together, and getting exactly one even number? Hint: You may want to write out the sample space. (answer in fractions)

(9-3)x2+4(9-3)x2+4