ANSWER:
Amount terry was charged in interest for the billing cycle is $ 4.9 approximately.
SOLUTION:
Given, Terry has a credit card that uses the average daily balance method for the first 18 days of one of his billing cycles, his balance was $350, and for the last 12 days of the billing cycle, his balance was $520.
His credit cards APR is 14%
Using the average daily balance method, the amount to be used in calculating Theresa's interest is given by:
![\frac{\text { sum of product of number of days in bulling cycle and balance. }}{\text { moter }}=(18 * 350+12 * 520)/(18+12)\\\\=(12540)/(30)=418](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qykigoy24qt6lmdu812g5dxoghilaw82ho.png)
Therefore, the interest charge on Theresa for the biling cycle is given by:
![\frac{\text {amount } * A P R}{12 \text { months }}=(418 * 0.14)/(12)=4.877](https://img.qammunity.org/2020/formulas/mathematics/middle-school/y0krm4py79xp8sphnuyv44qt6a87hu8sqn.png)
hence, amount terry was charged in interest for the billing cycle is $ 4.9 approximately.