Answer:
It will take 47 hours
Step-by-step explanation:
We can have the exponential function as follows;
P = I( 1 + r)^n
if the initial value was x , the final will be 2x
The change rate is 1.5% , which is r, this is same as;
1.5/100 = 0.015
So what we want to calculate is the n attached
This will be;
2x = x ( 1 + 0.015)^n
2 = 1.015^n
ln 2 = n ln 1.015
n = ln 2/ln 1.015
n = 46.55
This is approximately 47 hours
Answer:
-0.555
Step-by-step explanation:
The terminal point of the vector in this problem is
(-2,-3)
So, it is in the 3rd quadrant.
We want to find the angle
that gives the direction of this vector.
We can write the components of the vector along the x- and y- direction as:

The tangent of the angle will be equal to the ratio between the y-component and the x-component, so:

However, since we are in the 3rd quadrant, the actual angle is:

So now we can find the cosine of the angle, which will be negative:

Irrational
We know that pi is irrational (we can’t express it as a ratio of two numbers), and we are multiplying it by a rational number (-2). However -2 lots of something with infinite digits, will still have infinite digits, therefore it is irrational.
Answer:
60°
Step-by-step explanation:
x + 160° + 140° = 360°
x + 300° = 360°
x = 360° - 300°
x = 60°
Answer:
i know it breaks your heart move to a city in a broke down car