the function $f(x)=e^{x}$, when graphed, could be described as: increasing. decreasing. constant. none of…

the function $f(x)=e^{x}$, when graphed, could be described as: increasing. decreasing. constant. none of these choices are correct. drew received a bonus check for $2,500 and is going to deposit the money into a bank account that receives 5.5% simple interest. the amount of interest earned each year is: $137 $137.50 $138 none of these choices are correct. cameron received a bonus check for $2,500 and is going to deposit the money into a bank account that receives 5.5% simple interest. what is camerons account balance after one year? $2,637.50 $2,373.50 $2,813.50 none of these choices are correct. dakota received a bonus check for $2,500 and is going to deposit the money into a bank account that receives 5.5% compounded annually. what is dakotas account balance after five years? $2,637.50 $6,327.50 $3,267.40 none of the choices are correct.

the function $f(x)=e^{x}$, when graphed, could be described as: increasing. decreasing. constant. none of these choices are correct. drew received a bonus check for $2,500 and is going to deposit the money into a bank account that receives 5.5% simple interest. the amount of interest earned each year is: $137 $137.50 $138 none of these choices are correct. cameron received a bonus check for $2,500 and is going to deposit the money into a bank account that receives 5.5% simple interest. what is camerons account balance after one year? $2,637.50 $2,373.50 $2,813.50 none of these choices are correct. dakota received a bonus check for $2,500 and is going to deposit the money into a bank account that receives 5.5% compounded annually. what is dakotas account balance after five years? $2,637.50 $6,327.50 $3,267.40 none of the choices are correct.

Answer

1. Análisis de la función $f(x)=e^{x}$

Explanation:

Step1: Encontrar la derivada

La derivada de $y = e^{x}$ es $y'=e^{x}$.

Step2: Analizar el signo de la derivada

Como $e^{x}>0$ para todo $x\in R$, la función es creciente.

Answer:

increasing

2. Cálculo del interés simple anual

Explanation:

Step1: Usar la fórmula de interés simple

La fórmula de interés simple es $I = Prt$, donde $P$ es el principal, $r$ es la tasa de interés y $t$ es el tiempo. Aquí, $P = 2500$, $r=0.055$ y $t = 1$.

Step2: Calcular el interés

$I=2500\times0.055\times1=137.5$

Answer:

$137.50$

3. Cálculo del saldo de la cuenta con interés simple después de un año

Explanation:

Step1: Usar la fórmula del saldo con interés simple

El saldo $A$ con interés simple se calcula como $A=P + I$, donde $P$ es el principal y $I$ es el interés. Sabemos que $P = 2500$ y $I=137.5$ (calculado anteriormente).

Step2: Calcular el saldo

$A=2500 + 137.5=2637.5$

Answer:

$2,637.50$

4. Cálculo del saldo de la cuenta con interés compuesto después de cinco años

Explanation:

Step1: Usar la fórmula de interés compuesto

La fórmula de interés compuesto es $A=P(1 + r)^{t}$, donde $P = 2500$, $r = 0.055$ y $t=5$.

Step2: Calcular $(1 + r)^{t}$

$(1 + 0.055)^{5}=1.055^{5}\approx1.30696$

Step3: Calcular el saldo

$A=2500\times1.30696 = 3267.4$

Answer:

$3,267.40$