Answer : The correct option is, (d) $3166
Step-by-step explanation :
Given:
Principle = $2136
Rate = 5.36 %
Time = 9 years
First we have to determine the simple interest.
Formula used :
![S.I=(PRT)/(100)](https://img.qammunity.org/2019/formulas/business/high-school/q1z7vmb14r561dk2fjk0x4ta1m0r8sl24j.png)
where,
P = principle
R = interest rate
T = time
S.I = simple interest
Now put all the given values in the above formula, we get:
![S.I=((\$2136)* (5.36)* (9))/(100)](https://img.qammunity.org/2019/formulas/business/high-school/zs00yz4v1ezubbzcf9js2x7xlro4xje47u.png)
![S.I=\$ 1030.4](https://img.qammunity.org/2019/formulas/business/high-school/11e2cv603you8abf59k0ro1xx27yo5fe70.png)
Now we have to calculate the total amount nicole have after nine years.
Amount = Principle + Simple interest
Amount = $2136 + $1030.4
Amount = $3166.4
Amount ≈ $3166
Thus, the total amount nicole have after nine years is, $3166