Ideposited $4,000 into an account that earns 5% interest each year. the growth of my investment can be expressed by the exponential equation a= 4000 (1 + 0.5) where is the amount in the account after t years. in how many years will my account exceed $10,000?

We set up the equation 4000*1.05^t>10000.  Dividing by 4000, we seek to find t such that 1.05^5>2.5.  A calculator gives t>18.78, however, since interest is compounded yearly, we want a whole number of years.  The smallest whole number greater than 18.78 is 19.

No, because the solution in this equation is (213/29 , 138/29)

Step-by-step explanation:

2x + 7y = 48 (Multiply this by 5)

5x + 3y = 51  (Multiply this by -2)

10x + 35y = 240

-10x - 6y = -102

29y = 138

y = 138/29

2x + 7y = 48

2x + 7(138/29) = 48

2x + 966/29 = 48

2x = 426/29

x = 213/29

(213/29 , 138/29)