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:
"$66.5
Step-by-step explanation:
The cost, including tax, amounts to $850.00.
Down payment =$150
Amount after paying down payment = $850-$150=$700
Interest rate = 14 %
So, interest on $700 =
So, c = $98
Total payment = amount financed + c = 700+98=$798
Now Joe finances the grill over 12 months
So, no. of payments = 12
Now Monthly payment = Total of payments ÷ number of payments
=798 ÷ 12
=$66.5
Hence Joe's monthly payments (principal plus interest) is $ 66.5" i quoted so give the other person brainliest!
Step-by-step explanation:
Answer:
9.8
Step-by-step explanation:
a geometric sequence means we multiply the previous element by a certain factor to get the next element.
so, all we need to do is determine the factor used to go from one element in the list to the next.
a1 = 9
a2 = 88.2
a3 = 864.36
a4 = 8470.728
the simplest case is usually the case from a1 to a2.
a2 = a1×f
88.2 = 9×f
f = 88.2/9 = 9.8
we are finished here.
but we can control our result and verify with the other given elements.
88.2 × 9.8 = 864.36
and that is a3. fits.
864.36 × 9.8 = 8470.728
and that is a4.
so, all fits, we are correct.
Answer:
13818
I think that is your answer
Step-by-step explanation:
(-8-9)+23
-17+23
6.........
