Answer:
a. Earnings of Enguun for 12 hours this month (G)
G = 204 dollars
b. Earnings of Enguun for 19.5 hours last month (G)
G = 331.5 dollars
Step-by-step explanation:
Nomenclature
G: Total earnings of Enguun in dollars
E: Enguun's earnings for 1 hour of tutoring (dollars/hour)
n: number of hours that Enguun tutored per month (hour/month)
Formula
G = E*n
E = $17 per hour = 17 dollars/hour
Problem development
a. Earnings of Enguun for 12 hours this month
n = 12 hours
G = E*n
: We eliminate hours
G = 204 dollars
b. Earnings of Enguun for 19.5 hours last month
G = E*n
G = 17 * 19.5
G = 331.5 dollars
Answer:
y = 6 when x = 18
Step-by-step explanation:
The appropriate formula for this direct proportion is y = kx, where k is the constant of proportionality.
We know y = 3 when x = 9: 3 = k(9)
This yields k = 3/9, or k = 1/3
Then the formula is y = (1/3)x
and when x = 18, y = (1/3)(18) = 6
y = 6 when x = 18
Answer:
-15u+5
Step-by-step explanation:
- open up the bracket -15u-5+10
- liketerms together -15u+5
- hence answer is -15u+5
Answer with explanation:
Let us assume that the 2 functions are:
1) f(x)
2) g(x)
Now by definition of concave function we have the first derivative of the function should be strictly decreasing thus for the above 2 function we conclude that
Now the sum of the 2 functions is shown below
Diffrentiating both sides with respect to 'x' we get
Since each term in the right of the above equation is negative thus we conclude that their sum is also negative thus
Thus the sum of the 2 functions is also a concave function.
Part 2)
The product of the 2 functions is shown below
Diffrentiating both sides with respect to 'x' we get
Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.
40%=0.4
0.4(20)
8(markup)
Shirt price=$20+ $8
New price=$28
