Question

Eduardo and Alexia opened different investment accounts at the same time. Eduardo's account balance can be modeled by f(t)=1250*e⁰.⁰⁸ᵗ and Alexia's account balance can be modeled by g(t)=1000*e ⁰.⁰¹²ᵗ, where t is the number of years since they opened their accounts.

Answer 1

The question relates to algebraically analyzing the exponential growth functions of Eduardo's and Alexia's investment accounts within the subject of Mathematics at the high school level, revealing insights into the accounts' growth over time.

Step-by-step explanation:

The subject of the question at hand is Mathematics, more specifically concerned with the field of algebra and exponential growth functions as they apply to investment account balances. We analyze the functions representing the balance in Eduardo's and Alexia's investment accounts using the formulas they have provided, which are f(t)=1250*e^0.08t and g(t)=1000*e^0.12t respectively. This allows us to understand the effect of time on their investments due to compound interest represented by the exponential factor. Both of these functions illustrate the natural exponential function e raised to the power of a constant multiplied by time t, which shows continuous growth over time.

In relation to the other information provided about the expenditure-output model in an economy, where equilibrium is determined by factors such as consumption (C), investment (I), taxes (T), government spending (G), exports (X), and imports (M), we can see a logical connection in the way algebraic equations are used to calculate and predict financial outcomes both in individual investments and larger economic models.