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Question

# Solve the given problems A medical research lab is growing a virus for a vaccine that grows at a rate of $2.3\%$ per hour. If there are $500.0$ units of the virus originally, the amount present after t hours is given by $N = 500.0(1.023)^{t} .$ How many units of the virus are present after two days?

Solution

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$N = 500(1.023)^{t}$

Where $N$ is the number of virus units present, and $t$ is the time in hours.

To find the number of virus units present after 2 days, substitute $t = 48$:

$N = 500(1.023)^{48}$

Using calculator:

$\boxed{\color{#c34632}{N \approx 1489 \text{ units}}}$

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