Suppose there is a series of cashflows that lasts n + 1 periods, {at}t , 0 ≤ t ≤ n, and that is growing at constant rate g, i. e. at = (1 + g) ta0, ∀t. the discount rate is fixed at r and assume g < r. find an expression for the discounted present value of the cashflows at time 0. formally, find an expression for s = a0 + a1 1+r + + an (1+r) n

About time delivery co. incurred the following costs related to trucks and vans used in operating its delivery service: classify each of the costs as a capital expenditure or a revenue expenditure. 1. changed the oil and greased the joints of all the trucks and vans. 2. changed the radiator fluid on a truck that had been in service for the past four years. 3. installed a hydraulic lift to a van. 4. installed security systems on four of the newer trucks. 5. overhaul the engine on one of the trucks purchased three years ago. 6. rebuilt the transmission on one of the vans that had been driven 40,000 miles. the van was no longer under warranty. 7. removed a two-way radio from one of the trucks and installed a new radio with a greater range of communication. 8. repaired a flat tire on one of the vans. 9. replaced a truck's suspension system with a new suspension system that allows for the delivery of heavier loads. 10. tinted the back and side windows of one of the vans to discourage theft of contents.

Depreciation on the company's equipment for 2017 is computed to be $18,000.the prepaid insurance account had a $6,000 debit balance at december 31, 2017, before adjusting for the costs of any expired coverage. an analysis of the company's insurance policies showed that $1,100 of unexpired insurance coverage remains.the office supplies account had a $700 debit balance on december 31, 2016; and $3,480 of office supplies were purchased during the year. the december 31, 2017, physical count showed $300 of supplies available.two-thirds of the work related to $15,000 of cash received in advance was performed this period.the prepaid insurance account had a $6,800 debit balance at december 31, 2017, before adjusting for the costs of any expired coverage. an analysis of insurance policies showed that $5,800 of coverage had expired.wage expenses of $3,200 have been incurred but are not paid as of december 31, 2017.

As related to a company completing the purchase to pay process, is there an accounting journal entry "behind the scenes" when xyz company pays for the goods within 10 days of the invoice (gross method is used for discounts and terms are 2/10 net 30) that updates the general ledger?