Step-by-step explanation
Since we have a borrow, we can apply the simple interest formula as shown as follows:
![I=P\cdot r\cdot t](https://img.qammunity.org/2023/formulas/mathematics/college/69vhnc5w9tpcsasto5gwfgxvw61bssniw9.png)
Where P=Principal, r=rate, t=time (in this case in months) and I is the obtained interest.
Substituting terms:
![700=620\cdot r\cdot0.416](https://img.qammunity.org/2023/formulas/mathematics/college/qn73pua44ep0sg1bty0amg9a22je40kjlv.png)
Isolating r:
![(700)/(620\cdot0.416)=r](https://img.qammunity.org/2023/formulas/mathematics/college/xalw4139o63p79jdftknruc85uw5qybbas.png)
Simplifying:
![0.226=r](https://img.qammunity.org/2023/formulas/mathematics/college/uh1m6aeejyfgdvs434k0ddq8k56mtyylkc.png)
We will pay a rate of 22.6%