Aleka and Helene both opened savings accounts that earn 2.5% interest a year. Aleka puts $2,500 into her account. Helene put $1,500 into her account and also saves $200 cash a year. x = number of years Aleka: f(x) = 2500(1.025)x Helene: g(x) = 1500(1.025)x + 200x Which function represents the difference, h(x) = f(x) – g(x), between the value of Aleka's and Helene's total savings after x years? h(x) = –1000(1.025)x + 200x h(x) = 1000(1.025)x + 200x h(x) = 1000(1.025)x – 200x h(x) = 4000(1.025)x + 200x

Respuesta :

Given:

Amount in Aleka and Helene accounts represented by the following function:

Aleka: [tex]f(x) = 2500(1.025)^x[/tex]

Helene: [tex]g(x) = 1500(1.025)^x + 200x[/tex]

To find:

The function represents the difference, [tex]h(x) = f(x) -g(x)[/tex], between the value of Aleka's and Helene's total savings after x years.

Solution:

We have,

[tex]f(x) = 2500(1.025)^x[/tex]

[tex]g(x) = 1500(1.025)^x + 200x[/tex]

Now,

[tex]h(x) = f(x)-g(x)[/tex]

[tex]h(x) = 2500(1.025)^x-[1500(1.025)^x + 200x][/tex]

[tex]h(x) = 2500(1.025)^x-1500(1.025)^x - 200x[/tex]

[tex]h(x) = 1000(1.025)^x - 200x[/tex]

Therefore, the correct option is C.

74099

Answer:

c

Step-by-step explanation: