the value, v, of kalanis stock investments over a time period, x, can be determined using the equation v =…

the value, v, of kalanis stock investments over a time period, x, can be determined using the equation v = 750(0.80)^x. what is the rate of increase or decrease associated with this account?\n20% decrease\n20% increase\n25% decrease\n25% increase

the value, v, of kalanis stock investments over a time period, x, can be determined using the equation v = 750(0.80)^x. what is the rate of increase or decrease associated with this account?\n20% decrease\n20% increase\n25% decrease\n25% increase

Answer

Explanation:

Step1: Identify the exponential - decay formula

The general form of an exponential - decay formula is $V = a(1 - r)^x$, where $a$ is the initial amount, $r$ is the rate of decay, and $x$ is the number of time periods. In the given equation $V = 750(0.80)^x$, we can compare it with the general form.

Step2: Calculate the rate of decrease

We set $1 - r=0.80$. Solving for $r$, we get $r = 1 - 0.80=0.20$. To convert $r$ to a percentage, we multiply by 100. So $r = 0.20\times100 = 20%$. Since $r$ is positive and we are using the decay formula, it is a 20% decrease.

Answer:

20% decrease