Answer:
Mr.Smith paid $29.4.
Step-by-step explanation:
Mr.Smith paid $24.5 plus additional 20% of $24.5, and to figure out the total amount that he paid, we need to know what is 20% of $24.50.
20% of $24.50 is:
.
Mr.Smith paid additional $4.9; therefore, the total amount he paid was
$24.5 + $4.9 = $29.4.
Mr. smith paid $29.4.
You can see that every decade the income increases by 6,250. So if you want to do 5 years instead you would have to add 3,125 to the income of 1980 to find what the income was for 1985. Now you add 33,750+3,125= 36,875. The financial aid cutoff for 1985 would be $36,875.
1. Equation: 4x + 6y = 40
Answer:!4x + 6y - 40 = 0
2x + 3y - 20 = 0
2. Equation: 2x + 6y = 26
Answer: 2x + 6y - 26 = 0
x + 3 y - 13 = 0
Answer:
16,242. 7 cm^3.
Step-by-step explanation:
We need to cut off a square piece at the 4 corners of the cardboard.
Let the length of their edges be x cm.
The volume of the box will be:
V = height * width * length
V = x(100-2x)(40-2x)
V = x(4000 - 200x - 80x + 4x^2)
V = x(4x^2 - 280x + 4000)
V = 4x^3 + - 280x^2 + 4000x
Finding the derivative:
dV / dx = 12x^2 - 560x + 4000 = 0 ( when V is a maxm or minm.)
4(3x^2 - 140x + 1000) = 0
x = 37.86, 8.80.
Looks like x = 8.80 is the right value but we can check this out be looking at the sign of the second derivative:
V" = 24x - 560, when x = 8.8 V" is negative so this is a Maximum for V.
So the maximum volume of the box is when x = 8.8 so we have
V = 8.8(100-2(8.8)(40 - 2(8.8)
= 16,242. 7 cm^3.
Answer:
It took her 84 minutes (or 1 hour and 24 minutes) to finish.
