Lionel created a picture to hang on his wall. The drawing is below. Each circle has a radius of 8cm. The circles touch each othe
r and the ends of the canvas. The background of Lionel’s picture is black. What is the area of the black portion?
2 answers:
Answer:
219.7522cm^2
Step-by-step explanation:
To find area of black portion, we will find the area of the whole square first.
Length of square = 4xRadius of circle
= 4 x 8cm
= 32cm
Area of Square = Length x Width = 32x32
=
Now we find the area of the 4 circles.
Area of 4 circles = 4 x Area of circle
=
=
Area of black portion = Area of square - Area of 4 circles
=
=
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We have been given that miss Roxanne is 25 years old and she puts 1800 dollars per quarter that returns 6% interest.
(a) We need to figure out how much will be in the account when she turns 65 years old. When she turns 65 years old, the number of years during which she made deposits would be 40. Since she made quarterly deposits. She made a total of 160 deposits. We can now figure out the final amount in the account using future value of annuity formula.
We have the values P=1800, r=6/4% = 1.5% = 0.015 and n=160.
Therefore, the amount in the account would be:
Therefore, miss Roxanne will be 1179415.39 dollars in her account when she turns 65 years old.
(b) In this part we need to figure out the total amount she deposited.
The total amount she deposited would be .
(c) We can find the interest earned by subtracting her contribution from the answer of part (a).
Interest earned =