Answer:
![t=10\ years](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vw3w9h47wx24dmvrdeblu4cnnwmi1t3whu.png)
Explanation:
we know that
The simple interest formula is equal to
![A=P(1+rt)](https://img.qammunity.org/2020/formulas/mathematics/high-school/wt13v1nyrucyegifbf9i03md3xsghjnwst.png)
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
![t=?\ years\\ P=R80,000\\ A=R120,000\\r=5\%=5/100=0.05](https://img.qammunity.org/2020/formulas/mathematics/middle-school/h89yz215p5wh1t8uu9m1zde1q7vm68h869.png)
substitute in the formula above
![120,000=80,000(1+0.05t)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4uez8nnnwnv6lde45b8uqvkcoguksgnmiz.png)
![1.5=(1+0.05t)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/u2eyoiscsbb92fhiaje2endgi9zk4x47a9.png)
![0.05t=1.5-1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/einkt09zyrv016lt7iy9ius4c479553scb.png)
![0.05t=0.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nqdioqx0q8fmya3u70p6dtwrd4gg28p33x.png)
![t=10\ years](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vw3w9h47wx24dmvrdeblu4cnnwmi1t3whu.png)