Answer:
Petra
Step-by-step explanation:
Petra's acc has $32.50,while John's balance acc has $34.60 so,petra has less balance money
Answer:
26.52 cubic inches
Step-by-step explanation:
We need to find the volume of each box and then multiply by 3.
The volume of a cylinder is given as:
![V = \pi r^2 h](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20r%5E2%20h)
where r = radius
h = height
The height of each box is 5 inches and its radius is 0.75 inches.
Therefore, the volume of each box is:
![V = \pi * 0.75^2 * 5\\\\](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%2A%200.75%5E2%20%2A%205%5C%5C%5C%5C)
V = 8.84 cubic inches
The volume of 3 boxes will therefore be:
V = 8.84 * 3 = 26.52 cubic inches
26.52 cubic inches of material is needed to make 3 boxes.
Answer:
λ₁ = 1, λ₂ = 2, λ₃ = -1
This is the origin condition value
Step-by-step explanation:
Given that
A = ![\left[\begin{array}{ccc}0&1&0\\0&0&1\\-2&1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%260%5C%5C0%260%261%5C%5C-2%261%262%5Cend%7Barray%7D%5Cright%5D)
given one Elegen value is 1
Let λ₁ = 1
its known that
λ₁ + λ₂ + λ₃ = trace
1 + λ₁ + λ₃ = 0 + 0 + 2
λ₂ + λ₃ = 1 (eqn 1)
λ₁ . λ₂ . λ₃ = /A/
where
/A/ = -1(2)
/A/ = -2
λ₂ . λ₃ = -2 (eqn 2)
solve eqn 1 and eqn 2
λ₂ = 2, λ₃ = -2
therefore
λ₁ = 1, λ₂ = 2, λ₃ = -1
this is the origin condition value
The answer is F(x) = 900x + 600
Let x stands for the number of months
The apartment is rented for $900 a month, so every month it will be paid 900x (for example, for one month (x = 1), you will pay 900 · 1 = $900, for three months (x = 5), you will pay 900 · 5 = $4500, etc.)
A security deposit is paid only once and is not dependent on the number of months. So, its value is only 600.
These two values must be summed up because both must be paid, nothing is to subtract. Therefore, the function f(x) for apartments that rent for $900 a month and a security deposit of $600 is:
f(x) = 900x + 600
Answer:
10 days
Step-by-step explanation: