On commencing employment a man is paid a salary of $7200 per annum and receives annual increments of $350. Determine his salary

Question

Ivan

2 years ago

8

On commencing employment a man is paid a salary of $7200 per annum and receives annual increments of $350. Determine his salary

in the 9th year and calculate the total he will have in the first 12years.

Mathematics

1 answer:

Marina CMI [18] · Answer 1 · 2023-10-10T09:31:30+03:00

Answer:

Step-by-step explanation:

From the question, we can form an equation like: S = 7200 + 350X

where S is the salary and X is year.

1. His salary in the 9th year, means X=9, so we substitute 9 into the equation to find S = 7200 +350 (9) = 10350

2. The total he will have in the first 12years, we have:

Sum of first n terms of an <em><u>AP: S =(n/2)[2a + (n- 1)d]</u></em> where a is the value of the 1st term, here a is 7200 and d = 350 the common difference between terms

=> S = (12/2)[2*7200 + (12- 1)350] = 109500