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The amount of money in an investment account can be modeled by the function B(t)=500(1.3)^{3t}.B(t)=500(1.3)
3t
. Write an equivalent function of the form B(t)=ab^t.B(t)=ab
t
.

Answer :

MrRoyalgo

Equivalent expressions are expressions that ave equal values

The equivalent function of [tex]B(t)=500(1.3)^{3t}[/tex] is [tex]B(t)=500(2.197)^t[/tex]

How to determine the equivalent expression

The exponential function is given as:

[tex]B(t)=500(1.3)^{3t}[/tex]

Express the power as products

[tex]B(t)=500(1.3)^{3 * t}[/tex]

Rewrite the function as:

[tex]B(t)=500(1.3^3)^t[/tex]

Evaluate the exponent

[tex]B(t)=500(2.197)^t[/tex]

Hence, the equivalent function of [tex]B(t)=500(1.3)^{3t}[/tex] is [tex]B(t)=500(2.197)^t[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

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