whip out a calculator punch in the numbers and yell at them to read the answer
2.25h(60m/hr)(1/3)=45m
So Rick spends 45 minutes studying math per night.
Answer:
The calculated dollar-weighted rate of return, Y = -25%.
Step-by-step explanation:
The time-weighted rate of return is 0%
Therefore, (12/10)*( X/(12 + X)) = 1
12X = 120 + 10X -> X = 60
The dollar-weighted rate of return,Y is calculated below as:
Y = (X-(10 + X))/(1*10+X/2)
Y = (60-(10+60))/(1*10+60/2)
Y = (60 - 70)/(10+30)
Y= -10/40
Y = -25%
Therefore, the calculated dollar-weighted rate of return, Y = -25%.
Answer: he sold 9 pairs of dress shoes.
he sold 4 pairs of athletic shoes.
Step-by-step explanation:
Let x represent the number of pairs of dress shoes that he sells.
Let y represent the number of pairs of athletic shoes that he sells.
The total number of pairs of shoes that he sold in a day is 13. It means that
x + y = 13
The salesman receives a commission of $4 for every pair of dress shoes he sells. He is paid $3 for every pair of athletic shoes he sells. The commission that he got on that day was $48. It means that
4x + 3y = 48- - - - - - - - - - 1
Substituting x = 13 - y into equation 1, it becomes
4(13 - y) + 3y = 48
52 - 4y + 3y = 48
- 4y + 3y = 48 - 52
- y = - 4
y = 4
x = 13 - y = 13 - 4
x = 9
You can put the numbers where the variables are and do the arithmetic, or you can simplify the expression first. In the latter case, you have
(3a^(-2-(-1))b^(6-5)/2)^2 = (3a^(-1)b^1/2^2 = (3b/(2a))^2
= (3(-2)/(2(3)))^2 = (-1)^2 = 1
The value of the expression is 1.
