a person invested $570 in an account growing at a rate allowing the money to double every 9 years. how much…

Explanation:

Step1: Define doubling growth formula

The formula for exponential growth with doubling time is $A = P \times 2^{\frac{t}{d}}$, where $P$ is principal, $t$ is time, $d$ is doubling time.

Step2: Plug in given values

$P = 570$, $t = 29$, $d = 9$ $A = 570 \times 2^{\frac{29}{9}}$

Step3: Calculate exponent and growth factor

$\frac{29}{9} \approx 3.222$ $2^{3.222} \approx 2^{3} \times 2^{0.222} \approx 8 \times 1.1696 \approx 9.3568$

Step4: Compute final amount

$A \approx 570 \times 9.3568 \approx 5333.38$

Step5: Round to nearest dollar

Round $5333.38$ to the nearest whole number.

Answer:

$$5333$