P(t)=1,800(1.004)^(t) The function models P, the amount of money, in dollars, in Yara's savings account t years after she opened the account with an initial deposit of $1,800. How much money is in Yara's account 5 years after her initial deposit if she makes no deposits or withdraws in that time? Choose 1 answer: (A) $1,836.29 (B) $1,873.31 (C) $2,189.98 (D) $9,036

Question

P(t)=1,800(1.004)^(t) The function models P, the amount of money, in dollars, in Yara's savings account  t years after she opened the account with an initial deposit of  $1,800. How much money is in Yara's account 5 years after her initial deposit if she makes no deposits or withdraws in that time? Choose 1 answer: (A)  $1,836.29 (B)  $1,873.31 (C)  $2,189.98 (D)  $9,036

Bytelearn · Accepted Answer

Given Function Calculation: Given the function P(t) = 1,800(1.004)^(t), we need to calculate the amount of money in Yara's account after 5 years. We will substitute t with 5 in the function to find P(5).Substitute t with 5: Perform the calculation for P(5) using the given function: P(5) = 1,800(1.004)^(5)Evaluate Expression: Use a calculator or a computational tool to evaluate the expression: P(5) = 1,800 * (1.004)^5Multiply Result: After calculating the expression, we get: P(5) ≈ 1,800 * 1.02020201Round to Two Decimal Places: Now, multiply 1,800 by 1.02020201 to find the final amount: P(5) ≈ 1,800 * 1.02020201 ≈ 1,836.36362Compare with Answer Choices: Round the result to two decimal places to match the answer choices: P(5) ≈ $1,836.36Compare the result with the given answer choices: (A) $1,836.29 (B) $1,873.31 (C) $2,189.98 (D) $9,036 The closest answer to our calculation is (A) $1,836.29.

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