Answer:
Nat's salary after 3 years = 976562.5 $
Explanation:
Salary of Nat = $500,000
Raise in salary for next three years = 25 % = 0.25
Salary of Nat after 1 year = 500,000 + 0.25 * 500,000 = 625000 $
Salary of Nat after 2 years = 625000 + 0.25 * 625000 = 781250 $
Salary of Nat after 3 years = 781250 + 0.25 * 781250 = 976562.5 $
So, Nat's salary after 3 years = 976562.5 $
Easy Method;
No of years considering = 3
Initial salary = $500,000
Rate of increase = 0.25
Final salary 
$
Nat's salary after 3 years = 976562.5 $
Answer:
Step-by-step explanation:
1st draw 3 circles where each center is on one of the points, and the other side , the drawing side of the compass is on another point.. the draw the circle ... do that for each point... there will be one point.. where all three cross some where in the middle.. put the point of your compass on that point.. and then put the drawing side on any one of the points... all 3 will now be on the circle.. draw it.. :)
359, 357, 348, 347, 337, 347, 340, 335, 338, 348, 339, 356, 336, 358 a. median: 359 mode: 358 c. median: 347 mode: 347 AND 348 b
Elodia [21]
Answer:
Option C (Median: 347 and Mode: 347 and 348)
Step-by-step explanation:
Median is the middle point of the data and mode is the most repeated observation is the data. The first step involved in calculating the median it to list the observations in the ascending order. This gives:
335, 336, 337, 338, 339, 340, 347, 347, 348, 348, 356, 357, 358, 359
The second step is to identify the middle number (in case the observations are in odd numbers) or numbers (in case the observations are in even numbers) after the ascending order step has been done. It can be observed that the middle numbers in this data set are 347 and 347. Since there are two numbers, so their average will be the median of this data set. Therefore, the median is 347. It can be seen that maximum repetitions are 2 times for 347 and 348. So the mode is 347 and 348.
Therefore, Option C is the correct answer!!!
Answer:
75
Step-by-step explanation:
Homework mean x 10%: (80+100+90)/3 x 0.1 = 90 x 0.1 = 9
Quiz mean x 25%: (84+90+72)/3 x 0.25 = 20.5
Test mean x 45%: (64+72)/2 x 0.45 = 30.6
Sum of means/percentage of grade: 9 + 20.5 + 30.6 = 60.1/.8 = 75.125
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒ 
"The sum of the numbers is 43"
⇒ 
<u>2) Use substitution to solve for the smaller number</u>
Plug the equation into the above equation
Subtract both sides by 7
Divide both sides by 3 to isolate x
Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>
Plug in x as 12
Subtract both sides by 12 to isolate y
Therefore, the greater number equates to 31.
I hope this helps!
