If there are 4 trucks then the first truck weighs x
then x+2tons
then x+4tons
then x+6tons = 32tons
so 4x+12=32
-12 -12
/4 /4
x=5
so plug it back in
truck 1= 5tons or 10,000lbs
truck 2= 7tons or 14,000lbs
truck 3= 9tons or 18,000lbs
<span>truck 4= 11tons or 22,000lbs</span>
I=Prt
700=(250)*r*(16)
700=4000*r
700/4000-(4000*r)/4000
0.175=r
17.5%=r
The simple interest rate is 17.5%
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
Answer:
A = (-2 , -1) A’ = (-5 , -1)
B = (2 , -1) B’ = (-1 , -1)
C = (2, 2) C’ = (-1 , 2)
Step-by-step explanation:
Move each coordinate to the left 3 times! You will result in the prime coordinates of the letters!
27
This is because 18* of 23 is 4.14 which rounds to 4, and 23 + 4 = 27.