First rearrange as:
![\frac{1900}{1300}=1.0625^{x}](https://tex.z-dn.net/?f=%5Cfrac%7B1900%7D%7B1300%7D%3D1.0625%5E%7Bx%7D)
Taking logs of both sides, we get:
![log\ \frac{1900}{1300}=x\ log1.0625](https://tex.z-dn.net/?f=log%5C%20%5Cfrac%7B1900%7D%7B1300%7D%3Dx%5C%20log1.0625)
![x=\frac{log\frac{1900}{1300}}{log\ 1.0625}=6.26](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Blog%5Cfrac%7B1900%7D%7B1300%7D%7D%7Blog%5C%201.0625%7D%3D6.26)
x = 6.26.
in such cases where 2 line intersect each other, opposite angels are equal
so
2x+2 = 3x - 52
now subtracting 2 from both side
2x +2 -2 = 3x - 52 - 2
2x = 3x - 54
subtracting 3x from both side
2x -3x = 3x -54 - 3x
-x = -54
drividing by -1 both side
-x/-1 = -54/-1
x = 54
Answer:
Kindly check explanation
Step-by-step explanation:
Given the expression :
Jacob's yearly income :
2000x + 3000 ; x = number of hours worked per week.
Carlos income :
3800x - 40000
Managers prediction = 35
Jacob.: 2000(35) + 3000 = 73000
Carlos : 3800(35) - 40000 = 93000
Carlos will earn more than Jacob given the manager's prediction.
Number of hours required so they can earn the same amount :
2000x + 3000 = 3800x - 40000
3000 + 40000 = 3800x - 2000x
43000 = 1800x
x = 43000/1800
x = 23.88
x = 24 hours
Answer:
14.59%.
Step-by-step explanation:
Part A
You can not accurately calculate this because the SRS is not over 30. The CLT states that if the sample size is big enough, it will have a normal distribution. 15 is not big enough.
Part B
You can calculate this because the sample size is over 30; in this case, it is 40. So first, we have to find the standard deviation of the sampling distribution of the means. Which is done by taking the standard deviation and dividing it by the square root of the sample size, which comes out to be 4.74341649. Next, we throw it into the calculator in Normal CDF (260,9999,255,4.74341649). The final answer comes out to be 14.59%.
Answer:
40°
Step-by-step explanation:
m∠ABD = m∠DBC because they’re being split equally among m∠ABC
Therefore, m∠ABD = 40°