Respuesta :
Step-by-step explanation:
Our interest equation is s(x) = (1.05)^(x - 1). This is actually a part of a bigger formula for calculating the amount of money accumulated including interest:
A = P(1 + r)^n, where A is the total, P is the principal amount (initial amount), r is the interest rate, and n is the time
Here, we technically already have the (1 + r)^n part; it's just (1.05)^(x - 1). The principle, though, will actually be the 200 because she starts out at $200.
Thus, to combine these, we simply multiply them together to get:
h(x) * s(x) = 200(1.05)^(x - 1)
ps.can u pls mark me as the brainliest you'll also get point for that;)
Victoria can combine the two functions to model the total amount of money. Then the equation will be given below.
[tex]\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}[/tex]
What is compound interest?
Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function
[tex]\rm h(x) = 200[/tex]
She reads about a bank that has savings accounts that accrue interest according to the function
[tex]\rm s(x) = (1.05)^{x-1}[/tex]
[tex]A = P(1 + r)^n[/tex]
where A represents the sum, P represents the principal (starting amount), r represents the interest rate, and n represents the time.
To combine these, we simply multiply them by each other, yielding:
[tex]\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}[/tex]
More about the compound interest link is given below.
https://brainly.com/question/25857212
