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A quantity with an initial value of 1700 grows exponentially at a rate such that the quantity doubles every 5 years. What is the value of the quantity after 81 months, to the nearest hundredth?

Answer :

Answer: 4333.51

Step-by-step explanation:

Cetaceago

The value after 81 months is 4333.51.

Given initial value=P=1700

Time=t=81 months= [tex]\frac{81}{12} =6.75[/tex] years.

Doubling time = d = 5 years.

So, the value after 6.75 years is:

[tex]A=P(2)^{\frac{t}{d} } \\A=1700(2)^{\frac{6.75}{5}}\\ A=4333.50613289\\A=4333.51[/tex]

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