contestada

The Lincoln wheat penny was designed by Victor D. Brenner in 1909. Currently, the most valued penny is the 1909 S VDB penny. It was minted in San Francisco and only 484,000 were minted with the initials on the back. In 2015, the S VDB penny in uncirculated condition is worth $3,200. When will it be worth $15,000

Respuesta :

Answer:

The answer is "1960.58"

Explanation:

Through the partnership, the importance of the penis is increased

[tex]w = 0.01 a^x[/tex]

In which an element is gradual and x the year is no.

For [tex]2015 x = 2015 - 1909 = 106[/tex], and at that time [tex]w = 3200[/tex]

thus

[tex]3200 = 0.01 a^{106}\\\\320000 = a^{106}\\\\\ln(320000) = 106 \ln(a)\\\\12.67 = 106 \ln(a)[/tex]

[tex]\ln (a) = 0.1196\\\\\to a = e^{0.1196} = 1.127[/tex]

[tex]15,000 = 0.01\times 1.127^x\\\\15,00,000 = 1.127^x[/tex]

[tex]\ln(15,00,000) = x \ln(1.127)\\\\[/tex]

[tex]6.17 = x\times 0.1196\\\\\to x = 51.58\\\\\to Year = 1909 + 51.58 = 1960.58[/tex]