For this problem, we are told that a principal of $9300 was deposited at an account that is compounded weekly. We need to calculate the time it will take for the amount to increase $1130.
To solve this problem, we need to use the following expression:
![A=P(1+(r)/(n))^(n\cdot t)](https://img.qammunity.org/2023/formulas/mathematics/college/br9dk1xl6az1mpw36d7vdxxmeygqisc4gm.png)
Where A is the accrued amount, P is the principal amount, r is the annual interest rate, n is the number of times it is compounded in a year and t is the elapsed time.
For the account to increase $1130, it means that the accrued amount is the original one plus this value, therefore we have:
![](https://img.qammunity.org/2023/formulas/biology/high-school/th3y35ipo1jqnb1pyz12bkyph7hz83zofb.png)