Respuesta :

KtIsSatan
First you would divide 45 by 9 to see how many times it will double which gives you 5. Then, you would multiply 2000 by 2^5 (or just 2000x2x2x2x2x2) to get $64000
JeanaShupp

Answer: $64000

Step-by-step explanation:

The exponential equation for growth in function with growth factor 'b'in time 't' is given by :-

[tex]y=Ab^x[/tex] , where A is the initial value.

Given : The initial value : [tex]A=\$2000 [/tex]

Growth rate = [tex]b=2\text{ every 9 years} [/tex]

Time periods in 45 years :[tex]t=\dfrac{45}{9}=5[/tex]

Then , the exponential equation for growth for t=5 is given by :-

[tex]y=2000(2)^{5}=64000[/tex]

Hence, the money you would have after 45 years = $64000

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