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Present Value of 1 Future Value of 1 Present Value of an Annuity of 1

question 1

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Present Value of 1
 Periods 3%4%5%6%7%8%9%10%12%30.91510.88900.86380.83960.81630.79380.77220.75130.711840.88850.85480.82270.79210.76290.73500.70840.68300.635550.86260.82190.78350.74730.71300.68060.64990.62090.567460.83750.79030.74620.70500.66630.63020.59630.56450.506670.81310.75990.71070.66510.62270.58350.54700.51320.452380.78940.73070.67680.62740.58200.54030.50190.46650.403990.76640.70260.64460.59190.54390.50020.46040.42410.3606100.74410.67560.61390.55840.50830.46320.42240.38550.3220\begin{array} { | c | c | c | c | c | c | c | c | c | c | } \hline \text { Periods } & 3 \% & 4 \% & 5 \% & 6 \% & 7 \% & 8 \% & 9 \% & 10 \% & 12 \% \\\hline 3 & 0.9151 & 0.8890 & 0.8638 & 0.8396 & 0.8163 & 0.7938 & 0.7722 & 0.7513 & 0.7118 \\\hline 4 & 0.8885 & 0.8548 & 0.8227 & 0.7921 & 0.7629 & 0.7350 & 0.7084 & 0.6830 & 0.6355 \\\hline 5 & 0.8626 & 0.8219 & 0.7835 & 0.7473 & 0.7130 & 0.6806 & 0.6499 & 0.6209 & 0.5674 \\\hline 6 & 0.8375 & 0.7903 & 0.7462 & 0.7050 & 0.6663 & 0.6302 & 0.5963 & 0.5645 & 0.5066 \\\hline 7 & 0.8131 & 0.7599 & 0.7107 & 0.6651 & 0.6227 & 0.5835 & 0.5470 & 0.5132 & 0.4523 \\\hline 8 & 0.7894 & 0.7307 & 0.6768 & 0.6274 & 0.5820 & 0.5403 & 0.5019 & 0.4665 & 0.4039 \\\hline 9 & 0.7664 & 0.7026 & 0.6446 & 0.5919 & 0.5439 & 0.5002 & 0.4604 & 0.4241 & 0.3606 \\\hline 10 & 0.7441 & 0.6756 & 0.6139 & 0.5584 & 0.5083 & 0.4632 & 0.4224 & 0.3855 & 0.3220 \\\hline\end{array} Future Value of 1
 Periods 3%4%5%6%7%8%9%10%12%31.09271.12491.15761.19101.22501.25971.29501.33101.404941.12551.16991.21551.26251.31081.36051.41161.46411.573551.15931.21671.27631.33821.40261.46931.53861.61051.762361.19411.26531.34011.41851.50071.58691.67711.77161.973871.22991.31591.40711.50361.60581.71381.82801.94872.210781.26681.36861.47751.59381.71821.85091.99262.14362.476091.30481.42331.55131.68951.83851.99902.17192.35792.7731101.34391.48021.62891.79081.96722.15892.36742.59373.1058\begin{array} { | c | c | c | c | c | c | c | c | c | c | } \hline \text { Periods } & 3 \% & 4 \% & 5 \% & 6 \% & 7 \% & 8 \% & 9 \% & 10 \% & 12 \% \\\hline 3 & 1.0927 & 1.1249 & 1.1576 & 1.1910 & 1.2250 & 1.2597 & 1.2950 & 1.3310 & 1.4049 \\\hline 4 & 1.1255 & 1.1699 & 1.2155 & 1.2625 & 1.3108 & 1.3605 & 1.4116 & 1.4641 & 1.5735 \\\hline 5 & 1.1593 & 1.2167 & 1.2763 & 1.3382 & 1.4026 & 1.4693 & 1.5386 & 1.6105 & 1.7623 \\\hline 6 & 1.1941 & 1.2653 & 1.3401 & 1.4185 & 1.5007 & 1.5869 & 1.6771 & 1.7716 & 1.9738 \\\hline 7 & 1.2299 & 1.3159 & 1.4071 & 1.5036 & 1.6058 & 1.7138 & 1.8280 & 1.9487 & 2.2107 \\\hline 8 & 1.2668 & 1.3686 & 1.4775 & 1.5938 & 1.7182 & 1.8509 & 1.9926 & 2.1436 & 2.4760 \\\hline 9 & 1.3048 & 1.4233 & 1.5513 & 1.6895 & 1.8385 & 1.9990 & 2.1719 & 2.3579 & 2.7731 \\\hline 10 & 1.3439 & 1.4802 & 1.6289 & 1.7908 & 1.9672 & 2.1589 & 2.3674 & 2.5937 & 3.1058 \\\hline\end{array} Present Value of an Annuity of 1
 Periods 3%4%5%6%7%8%9%10%12%32.82862.77512.72322.67302.62432.57712.53132.48692.401843.71713.62993.54603.46513.38723.31213.23973.16993.037354.57974.45184.32954.21244.10023.99273.88973.79083.604865.41725.24215.07574.91734.76654.62294.48594.35534.111476.23036.00215.78645.58245.38935.20645.03304.86844.563887.01976.73276.46326.20985.97135.74665.53485.33494.967697.78617.43537.10786.80176.51526.24695.99525.79505.3282108.53028.11097.72177.36017.02366.71016.41776.14465.6502\begin{array} { | c | c | c | c | c | c | c | c | c | c | } \hline \text { Periods } & 3 \% & 4 \% & 5 \% & 6 \% & 7 \% & 8 \% & 9 \% & 10 \% & 12 \% \\\hline 3 & 2.8286 & 2.7751 & 2.7232 & 2.6730 & 2.6243 & 2.5771 & 2.5313 & 2.4869 & 2.4018 \\\hline 4 & 3.7171 & 3.6299 & 3.5460 & 3.4651 & 3.3872 & 3.3121 & 3.2397 & 3.1699 & 3.0373 \\\hline 5 & 4.5797 & 4.4518 & 4.3295 & 4.2124 & 4.1002 & 3.9927 & 3.8897 & 3.7908 & 3.6048 \\\hline 6 & 5.4172 & 5.2421 & 5.0757 & 4.9173 & 4.7665 & 4.6229 & 4.4859 & 4.3553 & 4.1114 \\\hline 7 & 6.2303 & 6.0021 & 5.7864 & 5.5824 & 5.3893 & 5.2064 & 5.0330 & 4.8684 & 4.5638 \\\hline 8 & 7.0197 & 6.7327 & 6.4632 & 6.2098 & 5.9713 & 5.7466 & 5.5348 & 5.3349 & 4.9676 \\\hline 9 & 7.7861 & 7.4353 & 7.1078 & 6.8017 & 6.5152 & 6.2469 & 5.9952 & 5.7950 & 5.3282 \\\hline 10 & 8.5302 & 8.1109 & 7.7217 & 7.3601 & 7.0236 & 6.7101 & 6.4177 & 6.1446 & 5.6502 \\\hline\end{array} Future Value of an Annuity of 1
 Periods 3%4%5%6%7%8%9%10%12%33.09093.12163.15253.18363.21493.24643.27813.31003.374444.18364.24654.31014.37464.43994.50614.57314.64104.779355.30915.41635.52565.63715.75075.86665.98476.10516.352866.46846.63306.80196.97537.15337.33597.52337.71568.115277.66257.89838.14208.39388.65408.92289.20049.487210.089088.89239.21429.54919.897510.259810.636611.028511.435912.2997910.159110.582811.026611.491311.978012.487613.021013.579514.77571011.463912.006112.577913.180813.816414.486615.192915.937417.5487\begin{array} { | c | c | c | c | c | c | c | c | c | c | } \hline \text { Periods } & 3 \% & 4 \% & 5 \% & 6 \% & 7 \% & 8 \% & 9 \% & 10 \% & 12 \% \\\hline 3 & 3.0909 & 3.1216 & 3.1525 & 3.1836 & 3.2149 & 3.2464 & 3.2781 & 3.3100 & 3.3744 \\\hline 4 & 4.1836 & 4.2465 & 4.3101 & 4.3746 & 4.4399 & 4.5061 & 4.5731 & 4.6410 & 4.7793 \\\hline 5 & 5.3091 & 5.4163 & 5.5256 & 5.6371 & 5.7507 & 5.8666 & 5.9847 & 6.1051 & 6.3528 \\\hline 6 & 6.4684 & 6.6330 & 6.8019 & 6.9753 & 7.1533 & 7.3359 & 7.5233 & 7.7156 & 8.1152 \\\hline 7 & 7.6625 & 7.8983 & 8.1420 & 8.3938 & 8.6540 & 8.9228 & 9.2004 & 9.4872 & 10.0890 \\\hline 8 & 8.8923 & 9.2142 & 9.5491 & 9.8975 & 10.2598 & 10.6366 & 11.0285 & 11.4359 & 12.2997 \\\hline 9 & 10.1591 & 10.5828 & 11.0266 & 11.4913 & 11.9780 & 12.4876 & 13.0210 & 13.5795 & 14.7757 \\\hline 10 & 11.4639 & 12.0061 & 12.5779 & 13.1808 & 13.8164 & 14.4866 & 15.1929 & 15.9374 & 17.5487 \\\hline\end{array} The present value of four $10,000 semiannual payments invested for 2 years at 12% compounded semiannually is $43,746.(PV of $1,FV of $1,PVA of $1,and FVA of $1)(Use appropriate factor(s)from the tables provided.)


Definitions:

Cost Equation

A formula used to predict the total costs of production, based on fixed and variable costs, as a function of activity levels.

Contribution Margin

The selling price per unit minus the variable cost per unit, which helps determine how much sales contribute to covering fixed costs and generating profit.

Variable Costs

These are costs that vary directly with the level of production or sales volume, such as raw materials and direct labor costs.

Fixed Costs

Costs that do not change with the level of goods or services produced within a certain range; such costs are incurred regardless of business activity levels.

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