Problem

Suppose that $\$ 8500$ is placed in an account that Pays $19 \%$ interest compounded each yeck. Assume that no with draws are made from the account, Follow the instractions below. Do not to any rounding. a) Find the amount in the account at the end of $/$ year. B) Find the amount in the account at the end of 2 years

Solution

Step 1 :Given that the principal amount (P) is \$8500, the annual interest rate (r) is 19% or 0.19 in decimal form, and the interest is compounded annually (n = 1).

Step 2 :We can use the formula for compound interest, which is \(A = P(1 + \frac{r}{n})^{nt}\), where A is the amount of money accumulated after n years, including interest.

Step 3 :For the first part of the question, we need to find the amount in the account after 1 year (t = 1). Substituting the given values into the formula, we get \(A = 8500(1 + \frac{0.19}{1})^{1*1} = \$10115.0\).

Step 4 :\(\boxed{The amount in the account at the end of 1 year is \$10115.0}\).

Step 5 :For the second part of the question, we need to find the amount in the account after 2 years (t = 2). Substituting the given values into the formula, we get \(A = 8500(1 + \frac{0.19}{1})^{1*2} = \$12036.85\).

Step 6 :\(\boxed{The amount in the account at the end of 2 years is \$12036.85}\).

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Source: https://solvelyapp.com/problems/25154/

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