M=20-12/4-2
m=8/2
m=4, is the answer
<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:
6x^3-33x^2+45x-6
Step-by-step explanation:
1.999… is exactly the number 2.
Let <em>x</em> = 1.999… . Then 1000<em>x</em> = 1999.999… . Subtract <em>x</em> from this to eliminate the fractional part, and you get
1000<em>x</em> - <em>x</em> = 1999.999… - 1.999…
1000<em>x</em> - <em>x</em> = 1999 - 1
999<em>x</em> = 1998
<em>x</em> = 1998/999 = 2/1 = 2
So <em>p</em> = 2 and <em>q</em> = 1.
Answer:
Options (B) and (E)
Step-by-step explanation:
Area of ΔABC = 
= 
= 42 in²
Area of trapezoid ADEC = 
[Here, 
and 
are the parallel sides and 'h' is the height of the isosceles trapezoid given]
= 
= 96 in²
Area of the pentagon = Area of triangle ABC + Area of trapezoid ADEC
= 42 + 96
= 138 in²
Therefore, Options (B) and (E) are the correct options.
