#### Evaluating difficult formulae.

1.   Use formula 3 to find the roots of the following equations correct to 2 decimal places (solve the equations) :

2.   Use formulae 4 and 5 to calculate the value of
2.1   A if P = 24 500, r = 12,5% and n = 4 years                  2.2   A if P = 123 650, r = 18,5% and n = 60 months
2.3   A if P = 4 000, r = 22,5% and n = 23 months               2.4   A if P = 6 500, r = 6,75% and n = 6 months
2.5   r if A = 28 638,05; P = 18 200 and n = 4 years            2.6   r if A = 1 785 361,21; P = 216 300 and n = 10 years
2.7   r if A = 67 857,94; P = 57 000 and n = 24 months       2.8   r if A = 41 839,39; P = 31 300 and n = 33 months

3.   Use formula 6 and then make s, a and u successively the subjects of the formula.

4.   Use formulae 6 to 9 to calculate the value of
4.1   v if
4.1.1   u = 10;   a = 5 and s = 130      4.1.2   u = 30;   a = -3 and s = 50       4.1.3   u = 25;   a = -10 and s = 15

4.2   u if
4.2.1   v = 30;   a = 6 and s = 40        4.2.2   v = 35;   a = 10 and s = 50      4.2.3   v = 15;   a = -5 and s = 45

4.3   s if
4.3.1   v = 32;   u = 10 and a = 5        4.3.2   v = 45;   u = 23 and a = 8        4.3.3   v = 20;   u = 10 and a = -6

4.4   a if
4.4.1   v = 32;   u = 10 and a = 5        4.4.2   v = 45;   u = 23 and a = 8        4.4.3   v = 20;   u = 10 and a = -6

5.   Use formula 10 and then make u, a and t successively the subject of the formula.

6.   Use the formulae 10 to 13 to calculate the value of
6.1   s if
6.1.1   u = 15;   a = 4,5 and t = 9            6.1.2   u = 20;   a = -5 and t = 8             6.1.3   u = 125;   a = -4 and t = 25

6.2   u if
6.2.1   s = 227,5;   a = 3 and t = 7          6.2.2   s = 576;   a = 5 and t = 12          6.2.3   s = 0;   a = 10 and a = 12

6.3   a if
6.3.1   s = 162;   u = 15 and t = 6           6.3.2   s = 1 134;   u = 25 and t = 14     6.3.3   s = -147,5;   u = -5 and t = 5

6.4   t if
6.4.1   s = 1 200;   u = 30 and a = 3       6.4.2   s = 90;   u = 24 and a = -3          6.4.3   s = -232;   u = -5 and a = -6

7.   Use formula 14 and then make a and d successively the subject of the formula.

8.   Use the formulae 14 to 16 to calculate the value of
8.1   S if
8.1.1   n = 22;   a = 5 and d = 3                              8.1.2   n = 121;   a = 6 and d = 2
8.1.3   n = 53;   a = -28 and d = 4                           8.1.4   n = 36;   a = 14 and d = -6

8.2   a if
8.2.1   S = 2 550;   n = 25 and d = 7                       8.2.2   S = 6 944;   n = 64 and d = 3
8.2.3   S = 657;   n = 18 and d = 5                          8.2.4   S = -2 079;   n = 27 and d = -4

8.3   d if
8.3.1   S = 16 113;   n = 41 and a = 33                   8.3.2   S = 702;   n = 9 and a = -18
8.3.3   S = 104;   n = 16 and a = 44                        8.3.4   S = -416;   n = 8 and a = -24

9.   Use formula 17 and then make l and g successively the subject of the formula.

10.   Use the formulae 17 to 19 to calculate the value of
10.1   T if
10.1.1   l = 1,3 and g = 9,8                  10.1.2   l = 4,2 and g = 10                  10.1.3   l = 4,2 and g = 10

10.2   l if
10.2.1   T = 1,6 and g = 9,8                10.2.2   T = 3,8 and g = 10                 10.2.3   T = 1 and g = 9,8

10.3   g if
10.3.1   T = 2,288 and l = 1,3             10.3.2   T = 3,8 and l = 3,658             10.3.3   T = 7,5 and l = 14,3