Could somebody help me with this please? i forgot how to do these.
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The time for the village to dig the new well is about 7 1/2 years. At this time the population doubles from its current size.
<h3>How to graph a function?</h3>For a function f(x) = y, the steps to draw a graph for the given function are as follows:
- Consider certain values of x
- Substitute x values in the given function to obtain y values
- Plot the x and y values in the graph
- Join the points to know the variation.
It is given that,
f(x) = 200 ×
Village's population growing rate = 9.8%
Creating a table for x and f(x) values:
x: 0 2 4 6 8 10
f(x = 0) = f(0) = 200 × = 200
f(x = 2) = f(2) = 200 × = 241
f(x = 4) = f(4) = 200 × = 291
f(x = 6) = f(6) = 200 × = 350
f(x = 8) = f(8) = 200 × = 423
f(x = 10) = f(10) = 200 × = 509
So,
(x, f(x)): (0, 200) (2, 241) (4, 291) (6, 350) (8, 423) (10, 509)
Plotting these points in the graph and joining the points, the graph is shown below.
Finding the time for the village to dig a new well:
It is given that the population doubled from its current size, the village will need to dig new water well.
The current size of the village = 200
If it doubles for a certain time 't' = 400
So,
400 = 200 ×
⇒ = 2
⇒ log = log 2
⇒ t log(1.098) = 0.301
⇒ t × 0.04 = 0.301
∴ t = 7.525 years
Therefore, the village's population becomes double at the time 7 and half years from now. So, after 7 1/2 years, the village needs to dig a new well.
Learn more about the function and its graph here:
#SPJ1
The percentage of the payments made were due to interest is 32.6 %. Then the correct option is B.
<h3>What is the percentage?</h3>The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
The following table shows a portion of a five-year amortization schedule.
A 5-year amortization schedule.
Loan amount or principal: 10,900 dollars.
The interest rate on loan: 10. 95 percent.
The table will be
Month Payment Principal Interest Balance
15 236.72 155.87 80.85 8704.27
16 236.72 157.29 79.43 8546.98
17 236.72 158.73 77.99 8388.25
18 236.72 160.18 76.54 8228.07
19 236.72 161.64 75.08 80.66.43
20 236.72 163.11 73.61 7903.32
Total payment = 6 × 236.72 = $ 1420.32
Total interest = 80.85 + 79.43 + 77.99 + 76.56 + 75.08 + 73.61
Total interest = $ 463.38
Then the percentage will be
More about the percentage link is given below.