Question

percents
finding the final amount given the original amount and a percentage...
last year, latoya opened an investment account with $5400. at the end of the year, the amount in the account had decreased by 29.5%. how much is this decrease in dollars? how much money was in her account at the end of last year?
decrease in amount: $
year - end amount: $

Explanation:

Step1: Calculate dollar decrease

First, convert 29.5% to a decimal: $29.5\% = 0.295$. Then multiply by the original amount:
$\$5400 \times 0.295$

Step2: Compute the decrease value

$\$5400 \times 0.295 = \$1593$

Step3: Calculate year-end amount

Subtract the decrease from the original amount:
$\$5400 - \$1593$

Step4: Compute final account value

$\$5400 - \$1593 = \$3807$

Answer:

Decrease in amount: $\$1593$
Year-end amount: $\$3807$