Question

ario made a deposit in an account that earns annual interest. His account balance, in dollars, after t years is represented by the expression 400⋅1.05t . Yvonne made a deposit in an account that earns annual interest. Her account balance, in dollars, after t years is represented by the expression 300⋅1.06t . Which statement describes the situation correctly? A. Mario deposited 100 dollars more than Yvonne, and Yvonne’s account earns 1 percent more annual interest than Mario’s account. B. Yvonne deposited 100 dollars more than Mario, and Mario’s account earns 1 percent less annual interest than Yvonne’s account. C. Mario deposited 100 dollars more than Yvonne, and Yvonne’s account earns 1 percent less annual interest than Mario’s account. D. Yvonne deposited 100 dollars more than Mario, and Mario’s account earns 1 percent more annual interest than Yvonne’s account.

Answer 1

Mario initially deposited $100 more than Yvonne. Yvonne's account has a 1% higher annual interest rate than Mario's account. The correct statement describing their accounts is option A.

Step-by-step explanation:

The question concerns comparing two bank accounts that have different initial deposits and interest rates as represented by algebraic expressions. Mario's account balance after t years is described by the expression 400⋅1.05t and Yvonne's account balance after t years is 300⋅1.06t. To find the correct statement about the initial deposit and the interest rates, we can analyze the coefficients and bases of these expressions. The coefficient indicates the initial deposit, while the base indicates the interest rate over time.

Mario's initial deposit is $400, and it grows by 5% annually (represented by the 1.05). Yvonne's initial deposit is $300, and her account earns 6% annual interest (indicated by the 1.06). Therefore, the correct statement is that Mario deposited 100 dollars more than Yvonne, and Yvonne's account earns 1 percent more annual interest than Mario's account.

Answer 2

nothing at all.

Step-by-step explanation: