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minecraftsam2018
05.07.2019 •
Mathematics
You have decided that you will need $350,000 above what your current retirement plan contains to survive and have a little fun when you retire. at the age of 30, you decide to start putting an amount into an annuity once a month. the account earns 5.5% compounded monthly. you plan to retire at the age of 65. your savings plan is for exactly 35 years.
show your work and the formula used.
1. how much will you need to put into this plan each month?
2. how much total will you put into this plan?
3. how much interest did this plan earn while investing during the 35 years?
before you retire, you decide that you will not take all of the money out at once. instead, you would like to draw equal monthly payments out until you are 80. assume the interest stays the same. how much can you draw out each month over this 15-year period?
4. answer
how much did the annuity pay you in interest over this 15-year period?
5. answer
the purpose of this project is to broaden your awareness of how saving just a small amount per month over the years working in a career combined with the interest your investment will earn becomes a substantial savings for your retirement. in recapping what you have just calculated, answer the following questions.
remind yourself of how little you contributed per
remind yourself of how much you actually invested in the
what was the total dollars the plan paid you in retirement?
6. answer
how much of this was earned from interest (remember this amount will include the interest earned while investing in the plan and while receiving money from the plan)?
7. answer
so basically the amount you contributed to your retirement was approximately what percentage of the total amount received?
8. 10% , 25%, 50%, 75%
Solved
Show answers
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Ответ:
Martha's house is at a distance of 2.895 miles from LA Tanya's house.
Let the distance between Martha and LA Tanya's house = d
Total time = (3:30 - 12:30)pm = 3 hours
Stay time = 90 minutes = 1.5 hours
Recall :
Time = distance / speed
Therefore,
Cycling time = d / 12
Walking time = d / 2.3
Total time could be defined as :
Cycling time + walking time + stay time
d/12 + d/2.3 + 1.5 = 3
d/12 + d/2.3 = 3 - 1.5
d/12 + d/2.3 = 1.5
Multiply the denominator by 10
d/120 + d/23 = 1.5/10
L.C.M of 120 and 23 = 2760
(23d + 120d) / 2760 = 1.5/10
143d/2760 = 1.5/10
Cross multiply
1430d = 4140
d = 4140 / 1430
d = 2.895 miles
Hence, the distance between Martha and LA Tanya's house is 2.895 miles.
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