Question

Finding the Last year, Abdul opened an investment account with $5400. At the end of the year, the amount in the account had decreased by 29%. (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 Abdul's account. Year-end amount: $___

Answer 1

Given:

a.) Abdul opened an investment account with $5400.

b.) At the end of the year, the amount in the account had decreased by 29%.

QUESTION A:

Since it is said that the account had decreased by 29%, the remaining percentage of the original amount will be:

Remaining percentage = 100% - 29% = 71%

Therefore, completing the statement, it will be:

Year-end amount = 71% × Original Amount

QUESTION B:

The year-end amount will be:

`\text{ Year-end amount = }(71)/(100)\text{ x Original Amount}`
`\text{ = 0.71 x 5,400}`
`\text{ Year-emd amount = \$3,834}`

Therefore, the year-end amount is $3,834.