Answer:
14 3/4 years
Step-by-step explanation:
Let's assume compound inflation. The appropriate formula for that is:
A = P(1 + r)^t.
If we represent current prices by P, then double that would be 2P:
2P = P(1 + 0.048)^t Find t, the time required for prices to double.
Then:
2 = 1.048^t
Taking the natural log of both sides, we get:
ln 2 = t·ln 1.048, so that:
t = (ln 2) / (ln 1.048) = 14.78
At 4.8 inflation, with annual compounding, prices will double in approx. 14 3/4 years.
Answer:

Step-by-step explanation:
Recall the negative angle identity for the sine function:
Then, we can find the value of
:

Now recall the definition of the tangent function:

Therefore, now that we know the value of
, we can solve in this equation for 

The angles that lie at the same side of parallel lines are known to be always supplement of each other. This means that when we add them together, the value is 180°. If we let x be the common factor for the measures of the angle, the equation that we could use to determine the answer is,
x + 14x = 180°
The value of x from the equation is 12. Hence, the angles are,
x = 12
14(12) = 168
Answer: 12° and 168°
Answer:
31²
Step-by-step explanation:
To find the answer first multiply 9 by 15 to get 135. Now multiply 8 by 13 to get 104. Now subtract 104 from 135 to get 31² as your answer.
Answer:
4.2 miles
Step-by-step explanation:
Using the pythagorean theorem, a^2 + b^2 = c^2
youll get 3.6^2 + 2.2^2 = 17.8
sqrt of 17.8 = 4.2