Now that the function is rewritten, we can graph it as usual, starting by plotting the initial value, 0.5.
Next, more points are found by repeatedly increasing the x-value by 1 and multiplying the function value by the constant multiplier, 1.35.
Connecting the points with a smooth curve gives us the desired graph.
Carlos won the lottery! In total, his winnings are $50000. He wants to buy a high quality miniature blimp, which costs $66499. Since his winnings aren't enough, he's decided to deposit them into a savings account for 5 years, earning yearly interest compounded continuously. Assuming the price stays constant, will he have enough money in his account to buy the miniature blimp after the 5 years?
At 5 years, his account balance will be $67493. Thus, he will be able to afford the miniature blimp at $66499.