Nest egg. you begin working at age 25, and your employer deposits $300 per month into a retirement account that pays an apr of 5 % compounded monthly. what will be the size of your nest egg at age 65? (fill in the blank below and round your answer to the nearest cent.) nest egg with $300 per month = $ . suppose you are allowed to contribute $100 each month in addition to your employer's contribution. what will be the size of your nest egg at age 65? (fill in the blank below and round your answer to the nearest cent.) nest egg with $400 per month = $ .

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general 11 months ago 4655

Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality:y > one half x + 2 (5 points) The origin is not included in the shaded region and the shaded area is above the line. The origin is not included in the shaded region and the shaded area is below the line. The origin is included in the shaded region and the shaded area is above the line. The origin is included in the shaded region and the shaded area is below the line.

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general 11 months ago 1053

(05.06 LC)A company dyes two sizes of rugs. A small rug requires 2 hours for dyeing and a medium-size rug requires 3 hours for dyeing. The dyers need to make at least 15 rugs, and they must do it in less than 60 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y ≥ 15 to create a system that represents this situation? (5 points) 2x + 3y < 60 3x + 2y < 60 2x + 3y > 60 3x + 2y > 60

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general 11 months ago 2129

Pia printed two maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the second map is 6 cm.(Q. 1) 1 cm on the first map represents 2 km on the actual trail. What is the scale factor from the map to the actual trail? What is the length of the actual trail?(Q. 2) A landmark on the first map is a triangle with side lengths of 3 mm, 4 mm, and 5 mm. What is the scale factor from the first map to the second map? What are the side lengths of the landmark on the second map? Show your work.

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general 11 months ago 3945

Water is pumped into a tank at a rate modeled be W(t) = 2000e^(-t^2/20) liters per hour for 0 ≤ t ≤ 8, where t is measured in hours. Water is removed at a rate modeled by R(t) liters per hour, where R is differentiable and decreasing on 0 ≤ t ≤ 8. Selected values of R(t) are shown in the table above. At time t = 0, there are 50,000 liters of water in the tank.(a) Estimate R'(2). Show the work that leads to your answer. Include units of measure.(b) Use a left Riemann sum with the four subintervals indicated by the table to estimate the total amount of water removed from the tank during the 8 hours. Is this an overestimate or underestimate of the total amount of water removed? Give a reason for your answer.(c) Use your answer from part (b) to find an estimate of the total amount of water in the tank, to the nearest liter, at the end of 8 hours.(d) For 0 ≤ t ≤ 8, is there is a time t when the rate at which water is pumped into the tank the same as the rate at which water is removed from the tank? Explain why or why not.

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general 11 months ago 1533