Question

percents
finding the final amount given the original amount and a percentage...
last year, tammy opened an investment account with $7800. at the end of the year, the amount in the account had increased by 7.5%. how much is the increase in dollars? how much money was in her account at the end of last year?
increase in amount: $
year - end amount: $

Explanation:

Step1: Calculate dollar increase

First, convert 7.5% to a decimal: $7.5\% = 0.075$. Then multiply by the original amount:
$\text{Increase} = 7800 \times 0.075$

Step2: Compute the increase value

$7800 \times 0.075 = 585$

Step3: Calculate year-end amount

Add the increase to the original amount:
$\text{Year-end amount} = 7800 + 585$

Step4: Compute final total

$7800 + 585 = 8385$

Answer:

Increase in amount: $\$585$
Year-end amount: $\$8385$