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sesenic [268]
4 years ago
15

A baseball card is originally worth 3$. It increases by 7% every year while the player is still active. After the player retires

it increases 10% every year. If a player remains active for 7 years, how much is the baseball card worth after 20 years?
Mathematics
1 answer:
vfiekz [6]4 years ago
8 0

Answer:

\$16.64

Step-by-step explanation:

we know that

The exponential function while the player is still active is equal to

y=3(1.07)^{x}

where

y ----> is the value of the baseball card

x ----> the time in years

Find the value of y for x=7 years (7 years still active)

y=3(1.07)^{7}=\$4.82

After 20 years

x=20-7=13 years (13 years retired player)

The initial value is \$4.82

The new equation is equal to

y=\$4.82(1.1)^{x}

substitute

x=13 years

y=\$4.82(1.1)^{13}=\$16.64

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