Answer:
19
Step-by-step explanation:
3.920(1.018)ˣ = 5.500
- First we can divide both sides by 3.920 to get: (1.108)ˣ = 1.403
- Then we can take the natural log of both sides to get: ln[(1.108)ˣ] = ln(1.403)
- We can then use logarithmic rules to move the x exponent to the front: xln(1.108) = ln(1.403)
- Then we can divide both sides by ln(1.108) to get:
- Then using a calculator we get x = 18.98 ≈19
Answer:
I am good!
Step-by-step explanation:
Have a fantastic day!
Answer:
12
Step-by-step explanation:
The given geometric series is

We want to determine the first term of this geometric series.
Recall that the explicit formula is

To find the first term, we put n=1 to get:

This gives us:


Therefore the first term is 12
Answer:
x = 
y = 
Jacobian value = 1/7
Step-by-step explanation:
Given data:
u = 2x -y
v = 3x + 2y
solving the system for x and y in terms of u and v
x = 
y = 
The value of the Jacobian = 1/7 ( solution attached below )
Image under the transformation of the triangular region with vertices ( 0,0) , (2,4) and (2,-3) in the x-y plane is attached below
His mean score for the first 4 games will be 18 points.
Explanation
In the first 3 games, the mean of the scores is 15 points . Mean is the simple average of some numbers.
So, the total score in first 3 games =
points
Now, in the 4th game, he scored 27 points. So, the total score in the first 4 games =
points
Thus, the average of scores in first 4 games =
points
So, his mean score for the first 4 games will be 18 points.