Respuesta :
Probably A
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To estimate the loan balance after 4 years, we need to consider the exponential growth of the loan due to accruing interest. The question states that the relationship is exponential, which means the loan balance will increase exponentially over time. Since the loan balance is not given for each year, we can estimate the loan balance by calculating the compound interest. The formula for compound interest is: A = P(1 + r/n)^(nt) Where: A = the final amount (loan balance) P = the principal amount (initial loan amount) r = annual interest rate (in decimal form) n = number of times the interest is compounded per year t = number of years In this case: P = $20,000 r = unknown (not given in the question) n = 1 (since the interest is accruing continuously) t = 4 years Since the annual interest rate is not provided, we can't calculate the exact loan balance. However, we can estimate it based on the given options. Let's calculate the estimated loan balance for each option using the formula: A. $20,403: A = 20000(1 + r/1)^(1*4) 20000(1 + r)^(4) = 20403 B. $24,890: A = 20000(1 + r/1)^(1*4) 20000(1 + r)^(4) = 24890 C. $25,168: A = 20000(1 + r/1)^(1*4) 20000(1 + r)^(4) = 25168 D. $25,410: A = 20000(1 + r/1)^(1*4) 20000(1 + r)^(4) = 25410 Without knowing the exact interest rate, we can't determine the correct answer. However, we can conclude that the best estimate would be the option that is closest to the others. Based on this, the best estimate of the loan balance after 4 years would be option A, $20,403, as it is the closest amount to the other options provided.
Answer: The best answer here is A( $20,403
Step-by-step explanation: