Step-by-step explanation:
i = interest 3% for 30 years
This is a simple dynamical system for whom the the solutions are given as
putting values we get
S=2000[\frac{(1.03)^{30}-1}{0.03}](1.03)
= $98005.35
withdrawal of money takes place from one year after last payment
To determine the result we use the present value formula of an annuity date
we need to calculate R so putting the values and solving for R we get
R= $6542.2356
Problem 35
The bar graph is shown below
You simply draw various rectangles such that the heights represent the frequency of each animal type.
Eg: there are 20 elephants, so the "elephant" bar is 20 units tall.
You can make the bar graph by hand, or use spreadsheet software. I recommend going with software (if you can).
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Problem 36
1 book = 20 mm thickness
5 books = 5*20 = 100 mm thickness
1 paper = 0.016 mm thickness
5 papers = 5*0.016 = 0.08 mm thickness
total thickness = 100+0.08 = 100.08 mm
<h3>Answer: 100.08 mm</h3>=======================================================
Problem 37
121/11 = 11
121 = 11*11
If we say 11+11+11+...+11, and have 11 copies of these values added, then we get to a sum of 121
This is probably the easiest way to get the answer assuming repeated values are allowed.
You can stop here if your teacher allows you to use repeated values. If not, then move onto the next section.
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If your teacher requires you to add 11 <u>different</u> numbers, then you can follow this procedure
After carefully following those steps, you'll get this sequence (in the exact order shown):
{9, 7, 5, 3, 1, 11, 21, 19, 17, 15, 13}
There are three properties to notice of this sequence
That sequence we got sorts to {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21}
and we can say 1+3+5+7+9+11+13+15+17+19+21 = 121
<h3>Answer: 1+3+5+7+9+11+13+15+17+19+21 = 121</h3>