<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:
The area of a circle is given by :
Where
r is the radius of the circle.
If we talk about the area of half of the circle, it means we have to half the area such that,
Hence, this is the required solution.
Answer:
x = 8; y = 2.5.
Step-by-step explanation:
As we know , when two complex numbers are equal their real as well as imaginary part are equal.
So comparing on both sides ,
2x = 16 and 5 = 2y
x = 8 and y = 2.5.
So , x = 8; y = 2.5.
