When she is outdoors, Tasha the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between he
r dog bourse and her favorite hydrant is 65 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.
1 answer:
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Answer:
The money she will end up earning in interest on the cd = $11,352.90
Step-by-step explanation:
The formula for getting the accumulated amount(compounded) is;
Where
A = Accumulated amount
P = principle (deposit)
r = interest rate and
n = no of times interest applied per time period.
The interest is compounded quarterly so in one year it will be 4 times
In 5 years
n = (5×4)-3 = 17 (as she will withdraw 3 month before the completion of five years)
A = ^17
= 7100( 1 + 0.028)^17
= 7100(1.028)^17
= 7100 * 1.599
= 11,352.90
Therefore the money she will end up earning in interest on the cd = $11,352.90
The probability that the number of heads obtained from flipping the two fair coins is the same is 35/128.
Probability:
Probability means the fraction of favorable outcome and the total number of outcomes.
So it can be written as,
Probability = Favorable outcomes / Total outcomes
Given,
The coin a is flipped three times and coin b is flipped four times.
Here we need to find the probability that the number of heads obtained from flipping the two fair coins is the same.
We know that,
There are 4 ways that the same number of heads will be obtained;
0, 1, 2, or 3 heads.
The probability of both getting 0 heads is
Probability of getting 1 head,
Probability of getting 2 heads is,
And the probability of getting 3 heads is,
Therefore, the probability that the number of heads obtained from flipping the two fair coins is the same is,
=> (1/128) + (12/128) + (18/128) + (4/128)
=> 35/128.
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