Last year, Justin opened an investment account with $5400. At the end of the year, the amount in the account had increased by 6.5%. How much is this increase in dollars? How much money was in his account at the end of last year?

Respuesta :

Increase in amount is [tex]\$351[/tex] and money in his account at the end of last year is [tex]\$5751[/tex].

Solution:

Given that  

Last year, Justin opened an investment account with [tex]\$5400[/tex].

At the end of the year, the amount in the account had increased by [tex]6.5\%[/tex].

Need to calculate amount increased in account and total amount of money at the end of the year.  Invested Amount at the starting of the year AI = 5400

Increase in amount is [tex]6.5\%[/tex]

Amount increased = [tex]6.5\%[/tex] of Invested Amount at the starting of the year

[tex]\begin{array}{l}{=6.5 \% \text { of } A_{I}} \\\\ {=\frac{6.5}{100} \times 5400} \\\\ {=\$ 351}\end{array}[/tex]

Total amount in the end of the year = Invested Amount at the starting of the year + Amount increased = 5400 + 351 = 5751