Dianna will invest $3,000 in an investment account for the next 30 years. The investment will earn 13 per cent annually. How much will she have at the end of 30 years? (Round to the nearest dollar.)

$117,347.69

Explanation:

Assuming that Diana made only one $3,000 investment, in 30 years she will have:

future value = present value x (1 + interest rate)ⁿ

future value = $3,000 x (1 + 0.13)³⁰ = $3,000 x 39.116 = $117,347.69

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a manufacturer of printed circuit boards uses exponential smoothing with trend to forecast monthly demand of its product. at the end of december, the company wishes to forecast sales for january. the estimate of trend through november has been 200 additional boards sold per month. average sales have been around 1000 units per month. the demand for december was 1100 units. the company uses α = 0.20 and β = 0.10. make a forecast including trend for the month of january.