I believe by the first equation they are referring two a representation of the total amount of money made up by the two types of coins. I found this to be 0.05x + 0.10y = 3.50
In my work I solved for the amount of each coin- I assume this is what the final step of your problem entails. If you need any help understanding/ I misinterpreted something please feel free to comment and ask :)
#5c coins or x= 36
#10c coins or y= 17
Given:
Diameter of outer circle = 20 inches.
We need to find the Area of the outer circle to get the radius of the inner circle.
Area = πr²
Outer circle Area = 3.14 * (10in)² = 314 in²
314 in² * 64% probability = 200.96 in² Area of the inner circle.
200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r
radius of inner circle is 8 inches.
Answer:
$17046.90
Step-by-step explanation:
Write out the equation for increase:
16470.45(1 + 0.035)
16470.45(1.035)
17046.90
The correct answer would be 2,656.25 because you take the 8.5% and move the decimal 2 places to the left.
Now multiply the total (250,000) by .085% and you get $21,250
You will now take 21,250 and divide it by 8 giving you the answer.
Originally, the diameter was 110 m, so the radius was 55 m. To get the area, you square the radius and multiply by π. That's 55^2 * π, making the original area 3025π m^2.
After, the diameter decreased to 107 m, making the radius 53.5 m. Again, you square the radius and multiply by π, making the new area 2862.25π m^2.
Subtract the 2862.25π from 3025π, giving you a total reduction of 162.75π square meters.
Rounded to the nearest hundredth, that's 511.29 square meters.