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Question

# BUSINESS: Appreciation A 20,000 dollars art collection is increasing in value at the rate of $300 \sqrt{t}$ dollars per year after t years.a. Find a formula for its value after t years. [Hint: Evaluate C so that its value at time t=0 is 20,000 dollars.]b. Use the formula that you found in part (a) to find its value after 25 years.

Solution

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Step 1
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$\boxed{\textbf{a.}}$

According to the given information we have the following:

$\boldsymbol{\color{#c34632} \frac{d A}{d t}=300 \sqrt{t} }$

Also with

$\boldsymbol{\color{#c34632} A(0)=20000 }$

We need to find:

$\boldsymbol{ A(t)=\int \frac{d A}{d t}\ d t }$

Now we have: [7pt]

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