Answer:
21
Step-by-step explanation:
Answer:
Step-by-step explanation:
To find the equation of the tangent to the given function, you must differentiate the function with respect to 'x'. The derivative (y prime) will give the tangent line at any point along the function. After we find the tangent equation, we let x equal zero which will alow us to find the slope at that point.
Begin by bringing the entire denominator to the top. If not, you'll have to do the quotient rule which is very annoying 99% of the time. You will get:
With this now, you can use the chain rule twice. Begin by differentiating:
Use the chain rule:
Use the chain rule again:
Simplify:
Let x = 0 to get:
Answer:
m = 0.2 kg.
Step-by-step explanation:
Joint variation:
Q = kmT where k is a constant.
Subsituting the given values:
20930 = k*1*5
k = 20930 / 5 = 4186.
So the relation is:
Q = 4186mT
When Q = 8372 and T = 10:
8372 = 4186 * m * 10
m = 8372 / (4186*10)
m = 0.2 kg.
Exterior angle sum gives 9x=5x+9+x
9x=6x+9
3x=9
x=3
The nominal value - without discounting the inflation rate - of income was $ 3000.
If the interest rate was 6%, a rule of three is enough to find the value of the original investment.
3000 - 6%
x - 100%
x = 50,000
The value of the investment was $ 50,000
In this case, the inflation rate also requires a simple calculation.
Inflation corroded $ 1000 dollars of income of $ 3000
Therefore the inflation rate will be 1000/3000 = 33.3%