We can create two equations here:
(1) Volume = area of square * height of box
85.75 = s^2 h
(2) Cost = 3 * area of square + 1.5 * area of side box
C = 3 s^2 + 1.5 s h
From (1), we get:
h = 85.75 / s^2
Combining this with (2):
C = 3 s^2 + 1.5 s (85.75 / s^2)
C = 3 s^2 + 128.625 s-
Taking the 1st derivative and equating dC/ds =
0:
dC/ds = 6s – 128.625 / s^2 = 0
Multiply all by s^2:
6s^3 – 128.625 = 0
6s^3 = 128.625
s = 2.78 cm
So h is:
h = 85.75 / s^2 = 85.75 / (2.78)^2
h = 11.10 cm
So the dimensions are 2.78 cm x 2.78 cm x 11.10 cm
The total cost now is:
C = 3 (2.78)^2 + 1.5 (2.78) (11.10)
C = $69.47
<span>7% of 10 will give you 0.7</span>
50 mph for 3 hours = 150 miles
70mph for 2.5 hours = 140 + 35 = 175
175 miles - 150 miles = 25 miles
4 quarters is a dollar. So 25 divided by 4 is $6.25. A nickel is 5 cents, so multiply 3 by 5. Giving us $.15. And finally the one penny adds $.01. Add it all together and you get $6.41 for the decimal. Now for the fraction, since 100 cents is $1, the denominator is 100. And since there are $6, it would be 6_41/100 for the fraction.
1+68
2+67
3+66
4+65
5+64
6+63
7+62
8+61
9+60
