The value of a collector's item is expected to increase exponentially each year. The item is purchases for $500 and its value increases at a rate of 5% per year. Find the value of the item after 4 years.

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Answer:

The value of the item after 4 years is $608

Step-by-step explanation:

In this question, we are tasked with calculating the value of an item which increases at a particular percentage after 4 years.

To calculate the new value, we will be needing an exponential model to get it

mathematically this can be represented as;

V = I(1 + r)^t

where V is the value after t years

I is the initial value which is $500 according to the question

r is the increase rate = 5% = 5/100 = 0.05

t is time which is 4 years

Plugging these values, we have

P = 500(1+0.05)^4

P = 500(1.05)^4

P = 607.75 which is approximately $608

Answer:

b

Step-by-step explanation: