Answer:
After 25 years both the accounts will have the same balance.
Step-by-step explanation:
Let t years, both the account will have the same balance.
As account A has a beginning balance of $500 and grows by $25 per year.
So, the total balance of account A after t years = 500+25t
Similarly, account B has a beginning balance of $750 and grows by $15 per year.
So, the total balance of account A after t years = 750+15t
As both the accounts has the same balance, so
500+25t= 750+15t
25t-15t=750-500
10t=250
t=250/10
t=25 years
Hence, after 25 years both the accounts will have the same balance.
You haven't posted the answer choices, but Trey got the wrong answer.
The denominators must be the same in order to add the fractions. In this case, the denominators 15 and 10 are different. We cannot add in this current state.
Adding the denominators is a common mistake which you should practice to avoid.
Jake because 45.21×10=452.1 which is not a whole number, and 8.22×10=82.2 which is also not a whole number, but 45.21×100=4521 which is a whole number, and 8.22×100=822 which is also a whole number. When you multiply a number with 1 and 0s behind it (ex: 10,100,1000, etc) You just more the decimal place the number of 0s you have (ex: 2.0×100= 200, 3.5×1000=3500)