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Sagot :

Given the equation

[tex]v(n)=14*b^n[/tex]

where

v=value

b=base

n=weeks

since we are ask for the wwekly report n=1

since we are ask for a percentage we need to compare with n=0

then

[tex]v(0)=14*b^0[/tex][tex]v(0)=14[/tex]

now

[tex]v(1)=14*b^1[/tex]

Proving

b=0.84

[tex]v(1)=14*0.84^1=11.76[/tex]

Not correct with the shown statement

-b=1.06

[tex]v(1)=14*1.06^1=14.84[/tex][tex]14.86-14=0.84[/tex][tex]14*\frac{6}{100}=0.84[/tex]

the 6% of 14 is 0.84 then

a base of b=1.06 gives a growth rate of 6%

Correct answer option B