Question

SALARY SCHEME
Angelie is working for a year as a clerk in a certain department. Her
employer promised her that she will be having a salary increase every after 3
months. Assume that her basic salary is P10.000.00 and there is a constant
rate of increase on her salary every after 3 months.
Your task is to construct/write a salary scheme for Angelie that determines
her salary in the first up to the last quarter of the year



cycle salary increase
1-4

salary received
1-4​

Answer 1

Answer:

im not sure but i answered it like this

1st quarter = 10,000

2nd quarter = 10,000 . x²

3rd quarter= 10,000 . x³

4th quarter = 10,000 x4

Answer 2

The scheme is as follows:

Quarter 1: ₹10000

Quarter 2: ₹(10000 + 100x) (x is the percent increase in the salary)

Quarter 3: ₹(10000 + 200x + $x^2$)

Quarter 4: ₹(10000 + 300x $+ 3x^2 + \frac{x^3}{100}$)

Step-by-step explanation:

The basic salary of Angelie is ₹10000.

Let the increase in the salary Angelie gets, be $x$ percent after every three months.

Then, her salary for

• the first quarter would be ₹$10000$
• the second quarter would be $= 10000 + \frac{x}{100} \times 10000 = 10000 + 100x$
• the third quarter would be [tex]= (10000 +100x)+ \frac{x}{100} \times (10000+100x) \\ [/tex]

                                                     [tex]= (10000 + 100x) +(100x + x^2) \\ [/tex]

                                                     $= 10000 + 200x + x^2$

• the fourth quarter would be $= (10000 + 200x + x^2) + \frac{x}{100}\times(10000 + 200x + x^2)$

        $= (10000 + 200x + x^2) + 100x + 2x^2 +\frac{x^3}{100}$

        $= 10000 + 300x + 3x^2 +\frac{x^3}{100}$