An account pays 7% per year simple interest. In year 1, the amount in the account is $950. How much is in the account in year 6?A.$1256.50B.$1316.27C.$1332.42D.$1282.50SUBMITarrow_backPREVIOUS
Question
An account pays 7% per year simple interest. In year 1, the amount in the account is 1256.50B.1332.42D.$1282.50SUBMITarrow_backPREVIOUS
Solution 1
To solve this problem, we need to use the formula for simple interest which is:
I = PRT
where: I = Interest P = Principal amount (the initial amount of money) R = Rate of interest T = Time (in years)
In this case, we are given: P = $950 R = 7% or 0.07 (as a decimal) T = 6 years
We need to find the total amount in the account after 6 years. This will be the sum of the principal and the interest.
First, let's calculate the interest:
I = PRT I = 950 * 0.07 * 6 I = $399
Now, let's add this to the principal to find the total amount in the account:
Total amount = P + I Total amount = 399 Total amount = $1349
So, the amount in the account in year 6 is $1349. However, this option is not listed in the choices. There might be a mistake in the question or the choices.
Solution 2
To solve this problem, we need to use the formula for simple interest which is:
I = PRT
where: I = Interest P = Principal amount (the initial amount of money) R = Rate of interest T = Time the money is invested for
In this case, we are given: P = $950 R = 7% or 0.07 (as a decimal) T = 6 years
We need to find the total amount in the account after 6 years. This is the sum of the initial principal and the interest earned, which can be calculated as follows:
-
Calculate the interest: I = PRT I = 950 * 0.07 * 6 I = $399
-
Add the interest to the initial principal to get the total amount in the account: Total amount = P + I Total amount = 399 Total amount = $1349
So, the amount in the account in year 6 is $1349. However, this option is not listed in the choices provided. There might be a mistake in the question or the provided choices.
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