Alright, so he has an <em>annual </em>salary of 47,000 dollars. Which means that he is paid 47,000 dollars in 12 months. You'll first have to calculate the pay Vijay receives <em>each month</em>, which is

, or about $3,916.67 (I'll round up to 3917 for simplicity).
Now, he gets paid twice a month. So each paycheck is half of $3917. 3917 x (1/2) = $1958.50.
So each paycheck should be $1958.50 (this is a rounded figure).
To solve for x, you must first understand how the median was calculated out of the given set of numbers. Without looking at the given median value, we can see that we cannot get the median by process of elimination since there are an even amount of numbers in this particular set. Therefore, we must average the two closest values to what should be the median.
In this case, the values are "45" and "x". If we pretend that we know the value of the variable "x" (for example we will pretend that x is 55), then we should have an equation that looks like this: (45+55) ÷ 2 = [median]. What this equation is doing is adding the two closest values to the median (45 and 55) and dividing it by 2, the number of values we are averaging. Now we can solve this equation and simplify it to 100 ÷ 2 which is 50, our median.
So if they give us the median instead of the x value, then we can rewrite the equation to fit your request: (45+x) ÷ 2 = 51. Now we can solve for x:
1. Multiply by 2
(45+x) = 102
2. Subtract 45
x = 57
The x value for your question is 57.
Answer:
m = 6.57 and n = -2
Step-by-step explanation:
To answer this question you will covert the thickness of a dollar to standard notation and then compare the two values.
0.07 =compared to 0.0043 = 0.0657
0.0657 = 6.57 x 10^-2
A quarter is thicker than a dollar by 6.57 x 10^-2.
m = 6.57 and n = -2
Total internal energy increases by 1760 J
Step-by-step explanation:
The kinetic energy of an object is the energy possessed by the object due to its motion.
It is calculated as

where
m is the mass of the object
v is its speed
For the hammer in this problem:
m = 2.50 kg
v = 65.0 m/s
So its kinetic energy is

Then the problem says that 1/3 of the hammer's kinetic energy is converted into internal energy: therefore, the total internal energy increases by

Learn more about kinetic energy:
brainly.com/question/6536722
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