ANSWER: 2/2^x
hope this helps :)
Lets x = the amount Sheila's deposit each time
So 6 deposits = 6x
Sheila's sister deposits was $10 more each deposit Sheila made, then her sister deposit amount each time should be: x +10
Sheila's sister made 5 deposits: 5(x+10)
Both sisters deposited the same amount in the end:
6x = 5(x+10)
6x = 5x + 50
Now you can add (-5x) to both sides:
6x + (-5x) = 5x + 50 + (-5x)
6x - 5x = 5x + 50 - 5x
Simplify both sides:
x = 50
So Sheila deposits each time: $50
Sheila's sister deposits each time: x + 10 = 50 +10 = 60
Double check:
Sheila deposits 6 times = 6 x 50 = 300
Sheila's sister deposits 5 times = 60 x 5 = 300
Both deposited $300 (same amount) in the end.
Answer:
10x + 10
Step-by-step explanation:
Thank me later
Answer: 24 cubic inches
Step-by-step explanation:
Answer: ∆V for r = 10.1 to 10ft
∆V = 40πft^3 = 125.7ft^3
Approximate the change in the volume of a sphere When r changes from 10 ft to 10.1 ft, ΔV=_________
[v(r)=4/3Ï€r^3].
Step-by-step explanation:
Volume of a sphere is given by;
V = 4/3πr^3
Where r is the radius.
Change in Volume with respect to change in radius of a sphere is given by;
dV/dr = 4πr^2
V'(r) = 4πr^2
V'(10) = 400π
V'(10.1) - V'(10) ~= 0.1(400π) = 40π
Therefore change in Volume from r = 10 to 10.1 is
= 40πft^3
Of by direct substitution
∆V = 4/3π(R^3 - r^3)
Where R = 10.1ft and r = 10ft
∆V = 4/3π(10.1^3 - 10^3)
∆V = 40.4π ~= 40πft^3
And for R = 30ft to r = 10.1ft
∆V = 4/3π(30^3 - 10.1^3)
∆V = 34626.3πft^3