Question

Just read the picture and thats the question

Answer 1

a) The negative sign indicates that progression is decreasing in time and decreases by 18 percent each month.

b) Antonio is expected to make a profit of 37445.17 in 7 months from now.

Explanation:

a) The equation described on statement represents a geometrical progression, which is defined as:

`y = C_(o)\cdot (1+ r)^(x)` (1)

Where:

`C_(o)` - Initial amount, measured in monetary units.

`r` - Rate, dimensionless. (The progression is increasing when
`r > 0`, and decreasing when
`-1 < r < 0`)

`x` - Time, measured in months.

`y` - Profit, measured in monetary units.

Given that
`y = 150,210\cdot (0.82)^(x)`, we calculated the rate below:

`1+r = 0.82`

`r = 0.82-1`

`r = -0.18`

The negative sign indicates that progression is decreasing in time and decreases by 18 percent each month.

b) If we know that
`x = 7`, then the expected amount for Antonio in 7 months from now is:

`y = 150,210\cdot (0.82)^(7)`

`y = 37445.17`

Antonio is expected to make a profit of 37445.17 in 7 months from now.