part a complete the table to show the number of times per year that account 3 compounds interest. then, use…

part a complete the table to show the number of times per year that account 3 compounds interest. then, use that value to write the exponential expression that models the amount of money brianna would have for account 3 after t years. the math process used to write the exponential expression for account 4 has been modeled for you. account 4: r = 0.03425, and n = 365 because the interest is compounded daily. because $250 is the initial deposit, p = 250. therefore, this is the expression: p(1 + \\(\\frac{r}{n}\\))^{nt}=250(1 + \\(\\frac{0.03425}{365}\\))^{365t}=250(1.0000938)^{365t} account number of times interest is compounded per year < a < 2 < iii = iv = v > expression for the amount of money after t years 250(1.05)^t 250(1.0027396)^{12t} 250(1.0000938)^{365t}

part a complete the table to show the number of times per year that account 3 compounds interest. then, use that value to write the exponential expression that models the amount of money brianna would have for account 3 after t years. the math process used to write the exponential expression for account 4 has been modeled for you. account 4: r = 0.03425, and n = 365 because the interest is compounded daily. because $250 is the initial deposit, p = 250. therefore, this is the expression: p(1 + \\(\\frac{r}{n}\\))^{nt}=250(1 + \\(\\frac{0.03425}{365}\\))^{365t}=250(1.0000938)^{365t} account number of times interest is compounded per year < a < 2 < iii = iv = v > expression for the amount of money after t years 250(1.05)^t 250(1.0027396)^{12t} 250(1.0000938)^{365t}

Answer

Explanation:

Step1: Recall compound - interest formula

The compound - interest formula is $A = P(1+\frac{r}{n})^{nt}$, where $A$ is the amount of money after $t$ years, $P$ is the principal (initial deposit), $r$ is the annual interest rate, $n$ is the number of times interest is compounded per year, and $t$ is the number of years.

Step2: Identify given values

We are given that $P = 250$, $r=0.03425$, and $n = 365$ (compounded daily).

Step3: Substitute values into formula

Substituting the values into the formula, we get $A=250(1 +\frac{0.03425}{365})^{365t}$.

Answer:

$A = 250(1+\frac{0.03425}{365})^{365t}$