B = 100(1 + 0.04)^12 = 100(1.04)^12 = 100(1.601) = $160.10
Answer:
Step-by-step explanation:
t - 1 - t^3 - 4t
-t^3 - 3t
Answer:
(4.25,2)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
x = (3+5.5) /2 = 8.5/2 =4.25
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
y = ( 4+0)/2 = 4/2 =2
Volume of a pyramid= 1/2 * base area * height
Answer:
h /r = 2.55
Step-by-step explanation:
Area of a can:
Total area of the can = area of (top + bottom) + lateral area
lateral area 2πrh without waste
area of base (considering that you use 2r square) is 4r²
area of bottom ( for same reason ) 4r²
Then Total area = 8r² + 2πrh
Now can volume is 1000 = πr²h h = 1000/πr²
And A(r) = 8r² + 2πr(1000)/πr²
A(r) = 8r² + 2000/r
Taking derivatives both sides
A´(r) = 16 r - 2000/r²
If A´(r) = 0 16 r - 2000/r² = 0
(16r³ - 2000)/ r² = 0 16r³ - 2000 = 0
r³ = 125
r = 5 cm and h = ( 1000)/ πr² h = 1000/ 3.14* 25
h = 12,74 cm
ratio h /r = 12.74/5 h /r = 2.55
