Question

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Explanation:

Step1: Identify the formula for exponential growth

The formula for exponential growth is $A = P(1 + r)^t$, where $A$ is the final amount, $P$ is the initial amount, $r$ is the growth rate (as a decimal), and $t$ is the time in days.
Here, $P = 733$, $r = 0.10$ (since 10% = 0.10), and $t = 6$.

Step2: Substitute the values into the formula

Substitute $P = 733$, $r = 0.10$, and $t = 6$ into the formula:
$A = 733(1 + 0.10)^6$

Step3: Calculate $(1 + 0.10)^6$

First, calculate $1 + 0.10 = 1.10$. Then, calculate $1.10^6$.
$1.10^6 = 1.10\times1.10\times1.10\times1.10\times1.10\times1.10 \approx 1.771561$

Step4: Multiply by the initial amount

Multiply $733$ by $1.771561$:
$A = 733\times1.771561 \approx 1300.554$

Step5: Round to the nearest whole number

Rounding $1300.554$ to the nearest whole number gives $1301$.

Answer:

1301