Search & Filtering
a) Consider a 20year project with the following portion of cash flows.
Years Cash flows
1-6 years 4,000 p.a.
7-10 years 5,000 p.a.
11-17 years 8,000p.a.
18-20 years 12,000 p.a.
Suppose the cost of capital is 12%. The annuity between years 11-14 is received at the beginning of each period. Calculate the present value of the differential annuity.
A person throws a 755 g ball up at an angle such that it has an initial speed of 15.0 m s−1. After a short time the ball has a speed of 5.30 m s−1.
How much higher is the ball than when it was let go? (in m to 3 s.f)
Activity 2. (List and Construct)
A group of students got the following scores in an achievement test:
9,12,15,18, 21, and 24. Consider samples of size 3 that can be drawn from this
population
a. Determine and list all possible samples and the corresponding sample
means.
Random Samples
Sample Means
Probability
b. Construct a sampling distribution of the resulting sample means
Frequency
Sample Means
Given: = 48, d=5.5. What is the raw score when z = 2. 43?
1. Use the computing formula for finding the z score for sample data. You can derive the
formula for easy computation.
2. Write the given values.
3. Substitute the given values in the computing formula. Then, compute the raw score (x).
Determine whether each of these pairs of sets are equal.
1. {1,3,3,3,5,5,5,5,5}, {5,3,1}
2. {a,c,t}, {c,a,t}, {t,a,c}
3. {a,c,t}, {a,c,t,o,r}
Information for XZ Limited for the six months of 2020 (and the sales of January 2021) in respect of product X
(i) units to be sold:
July 2020 : 1,100 November 2020: 2,500
August 2020 : 1,100 December 2020: 2,300
September 2020 : 1,700 January 2021 : 2,000
October 2020 : 1,900
(ii) will be no work-in-progress at the end of any month
(iii) Finished units equal to half the sales of the next month will be in stock at the end of every month (including June 2020)
(iv) Budgeted production and production cost for the year ending 31st December 2020 are thus:
Production (units) 22,000
Direct materials per unit 10
Direct wages per unit 4
(v) Total factory overheads apportioned to production 88,000
Required:
a) Production budget for the six months of 2020
b) Summarized production cost budget for the same period
List the members of the set
I is the set of integers that lies between -1 and 5
Determine whether each of these sets is the power set of a set, where a and b are distinct elements.
1. {0}
2. {0, { a } , { 0, a }}
3. {0, { a } }
4. {0, { a }, { b }, { a, b }}
In a party, there are 12 people with white shirts and 7 people with red shirts;
4 people have black shoes and white shirts;
5 people have black shoes and red shirts;
the total number of people with white or red shirts or black shoes is 21.
How many people have black shoes?
In a party, there are 12 people with white shirts and 7 people with red shirts;
4 people have black shoes and white shirts;
5 people have black shoes and red shirts;
the total number of people with white or red shirts or black shoes is 21.
How many people have black shoes?
