Answer
Initial amount $a=350$
Rate of growth $r=75\%$
At $t=5,y=5744.6$.
Work Step by Step
The given expression is
$\Rightarrow y=350(1+0.75)^t$
The standard form of the exponential growth function is
$y=a(1+r)^t$
Initial amount $a=350$
Rate of growth $r=0.75=75\%$
Substitute $5$ for $t$.
$\Rightarrow y=350(1+0.75)^5$
Simplify.
$\Rightarrow y=350(1.75)^5$
Evaluate the power.
$\Rightarrow y=350(16.4130859375)$
Simplify.
$\Rightarrow y=5744.58007813$
Round to the nearest tenth.
$\Rightarrow y=5744.6$
