(PLEASE HELPP)An initial investment of $1,000 is to be invested in one of two accounts. The first account is modeled by the function f(x) = 1,000(1.03)4x, and the second account is modeled by the function g(x) = 2.4(x + 50)2 − 500, where both functions are in thousands of dollars and x is time in years. The table shows the amounts for both functions.

Year Account 1 Account 2
1 1,125.51 5,742.40
2 1,266.77 5,989.60
3 1,425.76 6,241.60
4 1,604.71 6,498.40
5 1,806.11 6,760.00
6 2,032.79 7,026.40
7 2,287.93 7,297.60
8 2,575.08 7,573.60
Will the second account always accumulate more money than the first account? Explain.

a
No, the first account is an exponential function that increases faster than the second account, which is a quadratic function.

b
No, the first account since it is an exponential function that does not increase faster than the second account, which is a quadratic function.

c
Yes, the second account is a quadratic function that increases faster than the first account, which is an exponential function.

d
Yes, the second account is an exponential function that increases faster than the first account, which is a quadratic function.