Question

Just read the picture and thats the question

Answer 1

Answer:

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.

Step-by-step 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.