Question

Giovanna recibe actualmente un ingreso anual de $42 000. Normalmente, recibe

un aumento salarial de 2% al año debido al «costo de la vida».
1. Determine cuál sería la ecuación que representa su situación actual.​

Answer 1

The equation that represents Giovanna's current situation is Current Salary = $42,840.

Step-by-step explanation:

The equation that represents Giovanna's current situation can be determined by using the formula for calculating annual salary with a percentage increase.

The formula is:
Current Salary = Initial Salary + (Percentage Increase * Initial Salary)

Using this formula, we can substitute the given values:
Initial Salary = $42,000
Percentage Increase = 2% (or 0.02)

Substituting these values into the formula:

Current Salary = $42,000 + (0.02 * $42,000)

Simplifying the equation:

Current Salary = $42,000 + $840

Current Salary = $42,840

Therefore, the equation that represents Giovanna's current situation is:
Current Salary = $42,840

Answer 2

`S=42000*\sum_(i=0)^(n)0.02^n`

Step-by-step explanation:

The salary per year is the combination of the $42000 per year (constant) plus the 2% rise per year. So the ecuation is:

Firt year
`S=(42000 + 0.02*42000)`

Second year
`S=(42000 + 0.02*42000)+0.02*(42000 + 0.2*42000)`

Generalizing:

`S=42000*\sum_(i=0)^(n)0.02^n`