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svetoff [14.1K]
2 years ago
7

Garfield had $10 in the bank yesterday. Then, Garfield bought dinner for $14, but didn't realize that he overdrew from his bank.

His account balance was negative now and he was in debt! What is the absolute value of his new account balance?
Mathematics
1 answer:
Rudik [331]2 years ago
5 0
I believe it’s 4 since he’s in dept with 4 dollars so that’ll be -4, but the absolute value is 4 since it’s 4 spaces away from 0.
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Answer: After 7 years the population will be one-half the initial amount.

Step-by-step explanation:

Given: Initial population = 500,000

The population declines according to the equation:

P(t) = 500,000e^{ -0.099t}, where P is the population in t years later.

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Put P(t)=250,000, we get

250000=500000e^{-0.099t}\\\\\Rightarrow\ \frac{500000e^{-0.099t}}{500000}=\frac{250000}{500000}\\\\\Rightarrow\ e^{-0.099t}=\frac12\\\\\Rightarrow\ -0.099t=\ln \left(\frac{1}{2}\right)\\\\\Rightarrow\ t=\frac{1000\ln \left(2\right)}{99}=\frac{1000(0.69314)}{99}\\\\\Rightarrow\ t=7.00148\approx7

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