She earned $184 in interest
$644 In all
Here's why:
The formula is Interest = Principal x Rate x Time
I = 460 x 8% x 5 or I = 460 x 0.08 x 5. PEMDAS
460(0.08) = 36.8
I = 36.8 x 5
36.8 x 5 = 184
I = $184
To find them in all, add the original amount she deposited with the interest.
460 + 184 = 644
In all: $644
For this case we have:
Let a function of the form 
By definition, to graph 
, where 
, we must move the graph of f (x), h units to the left.
We observe that the red graph has the same form as the black graph, but it is displaced "h" units to the left.
It is observed that 
So, if the black graph is given by, the red graph is given by: 
Answer:
Option A
Mean:
E[Y] = E[3X₁ + X₂]
E[Y] = 3 E[X₁] + E[X₂]
E[Y] = 3µ + µ
E[Y] = 4µ
Variance:
Var[Y] = Var[3X₁ + X₂]
Var[Y] = 3² Var[X₁] + 2 Covar[X₁, X₂] + 1² Var[X₂]
(the covariance is 0 since X₁ and X₂ are independent)
Var[Y] = 9 Var[X₁] + Var[X₂]
Var[Y] = 9σ² + σ²
Var[Y] = 10σ²
Answer:
both points and rotational only
