Circumference of a circle = 2πr
Circumference of the whole circle= 2π(30) = 60π
360 - 90 = 270
Length XPY = 270/360 x 60π = 45π
Answer: 45π m
The distance between them is 9.
Answer:
the answer is b I know this because I'm a very young person but I'm a very young man who has been a great person for the last two decades so I'm not really into this
Step-by-step explanation:
I just don't want you back in here and you know this because I know this because you are a good friend of yours but you have no reason for me not knowing that I was in love and you are a great man but you have no idea how to do this 6AM 6AM I know this because you have to be with him to be a great person to be able and be able and be happy and you will have a great time
PERIOD BOO
Answer:
Step-by-step explanation:
Analyzing the growth rate of 1.07:
If the growth rate is a number greater than 1, we have exponential growth; if the growth rate is a number greater than 0 but less than 1, we have exponential decay.
Our growth rate is actually growth. But the rate of growth is not 107%. The rate of growth means that we already had 100% of the population and that it is growing by 7% each year. 100% + 7% = 107%; as a decimal, 1.07
So the rate of growth is 7%
Kim's Loan:
Let A = amount borrowed from bank A.
Let B = amount borrowed from bank B.
The total loan is $55,000.
Therefore
A + B = 55000 (1)
Bank A charges 8% interest. The interest after 1 year is 0.08A.
Bank B charges 11% interest. The interest after 1 year is 0.11B.
Total interest after 1 year is $5,000.
Therefore
0.08A + 0.11B = 5000 (2)
From (1), obtain
B = 55000 - A (3)
Substitute (3) into (2).
0.08A + 0.11(55000 - A) = 5000
0.08A + 6050 - 0.11A = 5000
-0.03A = -1050
A = -1050/-0.03 = 35000
Answer: Kim borrowed $35,000 from bank A.
Jack's Loan.
A = loan from bank A.
B = loan from bank B.
The total loan is $10,000.
Therefore
A + B = 10000 (4)
Bank A charges 5% interest and bank B charges 6% interest.
Total interest after 1 year is $530, therefore
0.05A + 0.06B = 530 (5)
From (4), obtain
B = 10000 - A (6)
Substitute (6) into (5).
0.05A + 0.06(10000 - A) = 530
0.05A + 600 - 0.06A = 530
-0.01A = -70
A = -70/-0.01 = 7000
Answer: Jack borrowed $7,000 from bank A.