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In Marvel comics, T'Challa (aka The Black Panther) as the king of Wakanda
is estimated to be worth 90 trillion (9 x 1013) dollars. Tony Stark (aka Iron
Man) is only worth about 30 billion (3 x 1010) dollars. If Tony Stark could
somehow add a 10% increase in his wealth to his current worth each year
($30 billion, $63 billion, $99.3 billion, etc.), how many years would it take
to reach T'Challa? Round your answer to the nearest year.

Respuesta :

If Tony Stark could somehow add a 10% increase in his wealth to his current worth each year then the number of years will be 84 to reach T'Challa.

What is an exponent?

Exponential notation is a type of mathematical shorthand that allows us to express complex statements in a more concise manner. The basis of an exponent is a quantity or letter. It denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

In Marvel comics, T'Challa (aka The Black Panther) as the king of Wakanda is estimated to be worth 90 trillion dollars.

Tony Stark (aka Iron Man) is only worth about 30 billion dollars.

If Tony Stark could somehow add a 10% increase in his wealth to his current worth each year.

Let t be a number of the years.

Then the equation is given as

[tex]\rm 9 \times 10^{13} = 3 \times 10^{10} \times (1.10)^t[/tex]

Then the value of t will be

[tex]\rm 3000= (1.10)^t\\[/tex]

Taking log both sides, we have

t (ln 1.1) = ln 3000

         t = 84

More about the exponent link is given below.

https://brainly.com/question/5497425

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