Answer:
8.0x
Step-by-step explanation:
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:
b
Step-by-step explanation:
angle b = angle e = 90 (given) R
if ac = df H
bc = ef (given) S
It’s 6 and idk what a tape diagram is so just do that
The total amount to be repaid is equal to $949.66
Step-by-step explanation:
Simple interest is a type of interest that is usually applied on short term loans, where when a payment is made towards this kind of interest the payment first goes towards monthly interest, and then the remainder is reverted towards the principal.
FORMULA FOR CALCULATING SIMPLE INTEREST =
Here principal = $922
interest rate = 6%
time period = 6 months (when made per annum it will be 6/12)
SIMPLE INTEREST IS EQUAL TO $27.66
The total amount that is to be repaid is equal to
PRINCIPAL + SIMPLE INTEREST
= $922 + $27.66
= $949.66
