4 Solve for 5 4 3 Consider the quadratic equation: Solve for ; leaving your answer in simplest surd form. 3 Hence, state for which value(s) of the equation will have real roots. 3 2 14 Jeffrey’s Bank offers interest at 8% per annum compounded monthly for the first 3 years and there after 5,5% interest per annum compounded daily for the following 4 years. What lump sum should Michael invest now if he wishes to withdraw R 150 000,00 in 7 years’ time? 7 The world population is the total number of living humans on earth. According to the U.S. Census Bureau the world population in 2011 was about 6.9 billion people and it would grow about 76 million during the year. That is an increase of about 1,1%. In 2016 it is estimated at 7.288 billion (7 288 000 000). Using this information, the world population can be modelled by the formula: where is in millions and is the number of years after 2011. Estimate the population in the year 2050 to the nearest million. 3 By which year will the population be double what it was in 2011? 4 3 15 A team of workers is erecting a fence along a main road. They pitch camp at the one end of the fence and erect 0,75 km of new fencing each day. Every evening they return to the original camp at the start of the fence. How far will they travel on day 35? 3 How far will they travel in total in 35 days? 4 The following sequence is known as the triangular numbers: 3 ; 6 ; 10 ; 15… as they relate to the number of dots needed to form a triangle of various layers.
4 Solve for 5 4 3 Consider the quadratic equation: Solve for ; leaving your answer in simplest surd form. 3 Hence, state for which value(s) of the equation will have real roots. 3 2 14 Jeffrey’s Bank offers interest at 8% per annum compounded monthly for the first 3 years and there after 5,5% interest per annum compounded daily for the following 4 years. What lump sum should Michael invest now if he wishes to withdraw R 150 000,00 in 7 years’ time? 7 The world population is the total number of living humans on earth. According to the U.S. Census Bureau the world population in 2011 was about 6.9 billion people and it would grow about 76 million during the year. That is an increase of about 1,1%. In 2016 it is estimated at 7.288 billion (7 288 000 000). Using this information, the world population can be modelled by the formula: where is in millions and is the number of years after 2011. Estimate the population in the year 2050 to the nearest million. 3 By which year will the population be double what it was in 2011? 4 3 15 A team of workers is erecting a fence along a main road. They pitch camp at the one end of the fence and erect 0,75 km of new fencing each day. Every evening they return to the original camp at the start of the fence. How far will they travel on day 35? 3 How far will they travel in total in 35 days? 4 The following sequence is known as the triangular numbers: 3 ; 6 ; 10 ; 15… as they relate to the number of dots needed to form a triangle of various layers.
Gr%2012%20Paper%201%20July%202016%20current%20final.docx