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Sagot :
Answer:
The answer is "2 years".
Step-by-step explanation:
Given:
[tex]\to P(t) = 493\times4^{\frac{t}{2}}[/tex]
when t=0
[tex]P(0) = 493\times4^{\frac{0}{2}}\\\\[/tex]
[tex]= 493\times4^0\\\\= 493\times 1\\\\= 493 \\[/tex]
Calculating the quadrupling time:
[tex]\to P(t) = 4 \times P(0) \\\\[/tex]
[tex]= 4\times 493 \\\\= 1972[/tex]
Solving
[tex]\to 1972= 493\times4^{\frac{t}{2}} \\\\\to 4 = 4^{\frac{t}{2}}\\\\\to \frac{t}{2} = 1\\\\\to t = 2\ years \\\\[/tex]
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