Answer:
Step-by-step explanation:
Using annuity, each sisters saving can be calculated.
Annuity formula:
Fv = PMT (( 1 + i)^n - 1) / i
where Fv is the future value (amount), PMT is the periodic payment ( $2000),
i is the rate per period ( 7%) and n is the number of payments.
Using the above formula to calculate each sister savings after their respective years of savings
Jane ( between 25 - 35, with n = 10 years)
Fv = 2000 (( 1 + 0.07)^10 - 1 ) / 0.07 = $ 27634.3
Joan ( between 35 - 65, with n = 30 years)
Fv = 2000((1 + 0.07)^30 - 1) / 0.07 = $ 188914
Joan actually have invested more since over 30 years she has invested $60000 while Jane on the other hand invested for 10 years which equals $20000 and Joan has more money after retirement. Going by the result it will make sense for Jane to emulate Joan or increase her number of years of saving in other to improve her retirement saving significantly close to Joan or even more.
Given:
The graph of a line segment.
To find:
The distance between the pair of points.
Solution:
From the given graph it is clear that the end points of the line segment are (-3,-1) and (-2,-3).
The distance between these two points is:
On further simplification, we get
Therefore, the distance between the pair of point is about 2.2 units.
Answer: Base=4cm^2
Step-by-step explanation: Area=Base*Height. We know the area is 20 and the height is 5.
20=Base*5. 4*5=20, therefore, the base is 5.
The volume of the right pyramid with the given properties is 80√3 cubic volume
<h3>How to determine the volume?</h3>
The given parameters are:
- Area of equilateral triangle = 4√3
- Height = 10Base length = 4 ft
Start by calculating the base area using:
Base area = 6 * Area of equilateral triangle
So, we have:
Base area = 6 * 4√3
Evaluate
Base area = 24√3
The volume of the pyramid is:
Volume = 1/3 * Base area * Height
So, we have:
Volume = 1/3 * 24√3 * 10
Evaluate
Volume = 80√3
Hence, the volume of the right pyramid is 80√3 cubic volume
Read more about volume at:
brainly.com/question/1972490
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