His hourly rate is $13.75.
Let x be the hourly rate. Since he works 20 hours that week, the hourly wages are given by 20x. We add to that his commission, which is 16% of the $1500 in sales, or 0.16(1500). This totals to 515:
20x + 0.16(1500) = 515
20x + 240 = 515
Subtract 240 from both sides:
20x + 240 - 240 = 515 - 240
20x = 275
Divide both sides by 20:
20x/20 = 275/20
x = 13.75.
Answer:
y = 45x miles
Step-by-step explanation:
Speed is the rate of change of distance with time. Mathematically,
speed = distance/time
Given that Darla travels at a constant speed of 45 miles per hour and for y miles, it takes her x hours then
45 = y/x
multiply both sides by x
45x = y
then the number of miles (y) Darla can drive in x hours
y = 45x (in miles)
Answer:
the answer is b
Step-by-step explanation:
35 occurs the most on the graph meaning that it's the mode
Answer: x = 11
Step-by-step explanation:
10x+84=194
10x = "10 times a number"
+84 = "increased by eighty four"
=194 = "equals 194"
10x+84=194
Subtract 84
10x = 110
Divide by 10
x = 11
<em>Hope it helps <3</em>
Answer:
a) 
b) 
c) 
Step-by-step explanation:
For total cost function 
, average cost is given by 
i.e., total cost divided by number of units produced.
Marginal average cost function refers to derivative of the average cost function i.e., 
Given:
Average cost = 
a)
At x = 50 units,
b)
Average cost =
c)
Marginal average cost:
Differentiate average cost with respect to 
Take 
using quotient rule, 
Therefore,
