4%
To find the percentage, first find the area of both circles. The area formula is
. After finding the area of the center of the target (19.625) and the area of the large target (490.625), set up a percent proportion to determine the percentage that the center takes up:
Cross multiplying and dividing by 490.625 will give a total of 4%.
Answer:
0.0045248 ;
0.1312218 ;
0.0001809 ;
0.1659729
Step-by-step explanation:
Number of Kings in deck = 4
Total number of cards in deck = 52
Picking without replacement :
A = King on first draw :
P(A) = 4 / 52
A = King on 2nd draw :
P(B) = 3 / 51
A = King on 3rd draw :
P(C) = 2 / 50
1.) P(A n B) = P(A) * P(B)
P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248
2.) P(A u B) = P(A) + P(B) - P(AnB)
P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218
3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)
P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809
4.) P(A U B U C) =
P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)
P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769
P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529
4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729
The tax rate is 5%
Hope this helps!
Answer:
$25,193.17
Explanation:
Given:
• Principal Felipe borrowed, P=$8000
,
• Annual Interest Rate, r=16.5%=0.165
,
• Compounding Period, k=12 (Monthly)
,
• Time, t=7 years
We want to determine how much he will owe after 7 years.
In order to carry out this calculation, use the compound interest formula below:
Substitute the values defined above:
Finally, simplify and round to the nearest cent.
After 7 years, Felipe will owe $25,193.17.
Answer:
60
Step-by-step explanation:
16/20 times 75
