Jay9573
contestada

The Quantity of an element is decaying over time such that the amount of material at
time is given by the funetion K (t) = 2000(0.9)^t+2. Write an equivalent
function of the form K (t) = ab^t

Respuesta :

Answer:

Below

Step-by-step explanation:

= 2000 (.9)^2 (.9)^t

    = 2000(.81)(.9)^t

         = 1620 (.9)^t

semsee45

Answer:

[tex]K(t)=1620(0.9)^{t}[/tex]

Step-by-step explanation:

Given function:

[tex]K(t)=2000(0.9)^{t+2}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]

[tex]\implies K(t)=2000(0.9)^{t}\cdot(0.9)^2[/tex]

Simplify:

[tex]\implies K(t)=2000(0.9)^{t}\cdot0.81[/tex]

[tex]\implies K(t)=0.81 \cdot 2000(0.9)^{t}[/tex]

[tex]\implies K(t)=1620(0.9)^{t}[/tex]

Otras preguntas