Answered

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The value, V(t), of a baseball card increases according to the function V(t) = P(1.045)', where P is the purchase price of the
baseball card and t is the time, in years since the card was purchased. By what percent does the value of the card increase each
year'?
1 4.5%
2 45%
3 95.5%
4 145%

Sagot :

ashishdwivedilVT

The Percentage increase in the purchase price each year is 4.5%.

The given function is:

[tex]V(t)=P(1.045)^t[/tex]

Where P is the purchase price of the baseball card and t is the time.

What is a function?

A function is a rule that establishes a relation between two variables.

[tex]V(1)=P(1.045)^1\\V(1)=1.045P[/tex]

[tex]V(2)=P(1.045)^2\\V(2)=1.092025P[/tex]

Percentage increase in the purchase price each year

=[tex]\frac{V(2)-V(1)}{V(1)} *100[/tex]

[tex]=\frac{1.092025P-1.045P}{1.045P} *100[/tex]

[tex]=4.5%[/tex]%

Hence, the Percentage increase in the purchase price each year is 4.5%.

To get more about functions visit:

https://brainly.com/question/2833285

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