Question

If t = 0 in 1980, find the value for t in 1990

Answer 1

The value of t is 6.65

What is exponential function?

An exponential function is a mathematical function of the following form: f ( x ) = a^x. where x is a variable, and a is a constant called the base of the function.

Given:

A= 210 million

P= A e^(kt)

225 = 210 * e ^ (0.0069t)

225/210=  e ^ (0.0069t)

1.07 =  e ^ (0.0069t)

Taking log on both side

log  1.047 = 0.0069 t log e

$\frac{0.0069t\ln \left(e\right)}{0.0069\ln \left(e\right)}=\frac{\ln \left(1.047\right)}{0.0069\ln \left(e\right)}$

t= log ( 1.047) / 0.0069

t= 6.65

Hence, value of t is 6.65.

Learn more about this  exponential function here:

brainly.com/question/12889747

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