accusoft systems is offering small business owners a software package that keeps track of many accounting functions from bank transactions to sales invoices. the site license will cost $39,000 to install and will require a fee of $6000 every 3 months. if your company can save $13,500 every quarter and have the security of managing its books inhouse, how long will it take for you to recover the investment at an interest rate of 10% per quarter?

An asset or item purchased with the intention of earning money or increasing in value is an investment. An asset's appreciation over time is referred to as appreciation. When a person purchases a product as an investment, the goal is not to use the product now but to use it to build wealth in the future.

Calculate the amount of time it will take to recover the investment PW = -I + S * (P/A, i%, n) I is the initial cost,

which is $45,000; S is the net saving per quarter, which is $13,500 - $2,500 = $11,000; I is the interest rate,

which is 10% per quarter;

n is the period, which is the number of quarters;

PW = -$45,000 + $11,000 * (P/A, 10%,

Using [(1 + i)n - 1] / [i * (1 + i)n] [(1 + 0.1)n - 1] / [0.1 * (1 + 0.1)n]

= 45 / 11 11 * [(1.1)n - 1]

= 45 * [0.1 * (1.1)n] 11 * (1.1)n - 11

= 4.5 * (1.1)n 6.5 * (1.1)n

= 11 (1.1)n

= 11 / 6.5

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