Parnell unvested a total of $14000 in two accounts. after a year, one account lost 7.7% while the other account gained 2.5%. in total, parnell lost $517. write a system of equations to find how much money parnell invested in each account.

the equations are

x + y = 14000

0.077x - 0.025y = 517

Step-by-step explanation:

Let x represent the amount invested in first account.

Let y represent the amount invested in second account.

Parnell invested a total of $14000 in two accounts. It means that

x + y = 14000

After a year, first account lost 7.7%. The amount lost in the first account is 7.7/100 × x = 0.077x.

The amount left in the first account is

x - 0.077x = 0.923x

On the other account gained, he gained 2.5%.

The amount gained in the second account is 2.5/100 × y = 0.025y

The amount left in the first account is

y + 0.025y = 1.025y

Total amount in first account and second account presently is

0.923x + 1.025y

Total amount in first account and second account initially is

x + y

Amount lost is

x + y - (0.923x + 1.025y)

= 0.077x - 0.025y

In total, Parnell lost $517. Therefore

0.077x - 0.025y = 517

answer: 12

step-by-step explanation:

8.75

how-to:

first, we need to find what we have to work with.

since i know that we have 7 (years) and 0.8 (inches), we can use these to solve and find the equation!

secondly, what you want to do, is see that we need to know how much growth out of the 0.8 inches he got in only 1 year, instead of 7 years.

let's try to divide.

7 ÷ 0.8 = 8.75