Explain how the diagram can help find the area of a circle
1 answer:
Answer:
Step-by-step explanation:
This is a really famous diagram! The circle has been divided into many wedges (think slices of pizza!). The wedges have been colored alternately blue and yellow, then the wedges were rearranged to form a "rectangle" -- well, it's approximately a rectangle because the wedges have arcs (pieces of a circle) on them. See how the bottom and top edges of the rectangle look bumpy?
The area of the "rectangle" is approximately . The reason is that the height of the rectangle is <em>r</em> , the radius of the circle. And the length of the rectangle is about
-- half the circumference of the circle. It's half because the circumference is in the bumpy parts of the wedges--half blue, half yellow.
The approximation improves as the number of wedges increases. In fact, as the number of slices (sorry, pizza again) gets larger, the length of the rectangle gets closer and closer to half the circumference. In other words, making more wedges makes the rectangle less bumpy!
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Answer:
The month payment amount is $897.589
Interest amount is $61,566
Step-by-step explanation:
Given as :
The price of the house = $125,000
The down payment amount for house = 20% of total price
i.e The down payment amount for house = 20% × $125,000
Or, The down payment amount for house = × $125,000
Or, The down payment amount for house = $25,000
Now, Balance amount = total price - down payment
Or, Balance amount = $125,000 - $25,000
Or, Balance amount = $100,000
So, The balance amount is bring finance
The finance principal amount = p = $100,000
The rate of interest applied = r = 3.25%
The time period of mortgage = t = 15 years = 15 × 12 = 180 months
Let The Amount of mortgage after 15 years = $A
<u>From Compound Interest method</u>
Amount = Principal ×
Or, A = p ×
Or, A = $100,000 ×
Or, A = $100,000 ×
Or, A = $100,000 × 1.61566
Or, A = $161,566
So,The Amount of mortgage after 15 years = $161,566
Interest applied = Amount - principal
Or, I = $161,566 - $100,000
∴ Interest = $61,566
<u>Again</u>
The month payment amount =
i.e The month payment amount =
Or, The month payment amount = $897.589
Hence The month payment amount is $897.589 and interest amount is $61,566 . Answer
Answer:
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 50
Standard Deviation, σ = 7
We are given that the distribution of random variable X is a bell shaped distribution that is a normal distribution.
Formula:
P(X greater than 34)
Calculation the value from standard normal z table, we have,
The attached image shows the normal curve.
