Math Answers

A bed mart company is in the business of manufacturing beds and

pillows. The company has 40 hours for assembly and 32 hours for

finishing work per day. Manufacturing of a bed requires 4 hours for

assembly and 2 hours for finishing. Similarly a pillow requires 2 hours

for assembly and 4 hours for finishing. Profitability analysis indicates

that every bed would contribute Birr 80, while a pillow contribution is

Birr 55 respectively. Find out the daily production of the company to

maximise the contribution (profit). Solve the problem by graphical

method.

There are 18 pieces of music to choose from: 6 for piano, 5 for violin, and 7 for guitar. In

how many ways can you choose 3 pieces of music, if at least 1 must be for piano?

Explain your reasoning. (3 marks)

At Statsville High School, 125 students are taking university-preparation Science courses. Of these students, 64 take Biology, 40 take Chemistry, and 51 take Physics. There are 12 students who take both Chemistry and Physics, 11 who take both Chemistry and Biology, and 8 who take all three courses. How many students take just Physics and Biology? Illustrate your answer with a Venn diagram.

An interest rate of 14.92% per year compounded every three months is equivalent to a weekly compounded interest rate of

1.15.96%

2. 14.5%

3. 14.88%

4. 19.02%

Kagiso wants to buy a new gaming computer for 40,000 he decided to save by depositing an amount of 400 quarterly into an amount earning 16% interest per year compounded quarterly the approximate number of what is it will take the visa to have 40,000 available is

1. 28 quarters

2. 41 quarters

3. 40 quarters

4. 12 quarters

An amount of money accumulates to 45946 at a continuous compounding rate of 8% per year after 57 months the original amount is

1.31460.34

2.33294.20

3.28486.52

4. 31420.70

An amount of money accumulates to 45946 at a continuous compounding rate of 8% per year after 57 months the original amount is

1.28 quarters

2. 41 quarters

3. 40 quarters

4.12 quarters

Lindiwe decides that she would like to buy her daughter mbali a car when she turns 21years in 6 year's time. she deposit 6000 each month into an account earnings 8.94% interest per year compounded monthly.The amount that lindiwe (rounded to the nearest rand) will have available 6 years from now is

1. 432000

2.335.896

3. 573187

4. 568948

A new car is purchased for 19900 dollars. The value of the car depreciates at 7.5% per year. What will the value of the car be, to the nearest cent, after 8 years?

A new car is purchased for 19900 dollars. The value of the car depreciates at 7.5% per year. What will the value of the car be, to the nearest cent, after 8 years?