Answer:
74.8 m
Step-by-step explanation:
We are given that

Speed of peacock,v=10 km/h
Time,t=1 min 12 sec=60+12=72 s=
1 hour=3600 s
Distance=vt=
Using 1 km=1000 m
We know that

Using the formula


Hence, the peacock was at height of 74.8 m on the tree.
<h3>
Answer: Approximately 6.58 years old</h3>
The more accurate value is 6.57881347896059, which you can round however you need. I picked two decimal places.
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Explanation:
Let's pick a starting value of the car. It doesn't matter what the starting value, but it might help make the problem easier. Let's say A = 1000. Half of that is 1000/2 = 500.
So we want to find out how long it takes for the car's value to go from $1000 to $500 if it depreciates 10% per year.
The value of r is r = 0.10 as its the decimal form of 10%
t is the unknown number of years we want to solve for
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y = A(1 - r)^t
500 = 1000(1 - 0.1)^t
500 = 1000(0.9)^t
1000(0.9)^t = 500
0.9^t = 500/1000
0.9^t = 0.5
log( 0.9^t ) = log( 0.5 )
t*log( 0.9 ) = log( 0.5 )
t = log( 0.5 )/log( 0.9 )
t = 6.57881347896059
Note the use of logs to help us isolate the exponent.
Answer:
Step-by-step explanation:
2(63+4x+3)=276
4x+66=138
4x=72
x=18
AD=BC
AD=4x+3, using x=18 found earlier
AD=4(18)+3
AD=72+3
AD=75