last year, heather opened an investment account with $7400. at the end of the year, the amount in the…

last year, heather opened an investment account with $7400. at the end of the year, the amount in the account had increased by 6%. (a) fill in the blank to write the year - end amount in terms of the original amount. write your answer as a decimal. year - end amount = ×original amount (b) use your answer in part (a) to determine the year - end amount in heathers account. year - end amount: $

last year, heather opened an investment account with $7400. at the end of the year, the amount in the account had increased by 6%. (a) fill in the blank to write the year - end amount in terms of the original amount. write your answer as a decimal. year - end amount = ×original amount (b) use your answer in part (a) to determine the year - end amount in heathers account. year - end amount: $

Answer

Explanation:

Step1: Find the decimal - form of the growth rate

The account increased by 6%. To convert a percentage to a decimal, divide by 100. So, 6% = 0.06. The factor by which the original amount is multiplied to get the year - end amount is 1 + 0.06=1.06.

Step2: Calculate the year - end amount

The original amount is $7400. The year - end amount = 1.06×Original amount. Substitute the original amount of $7400 into the formula: Year - end amount = 1.06×7400 = 7844.

Answer:

(a) 1.06 (b) 7844