Answer:

Step-by-step explanation:



The monthly interest rate is 6%/12 = 0.5%. The interest earned each month is
0.005*$500,000 = $2500
You can withdraw $2500 each month without disturbing the principal amount.
Answer:
17/5
Step-by-step explanation:
If cosθ = 12/13, find (1+cotθ)
As shown in the diagram attached,
Cotθ = 1/tanθ = adjacent/opposite
From the diagram attached,
cotθ = 12/a................... Equation 1
But we can find the value of a by using pythagoras theorem
13² = 12²+a²
169 = 144+a²
a² = 169-144
a² = 25
a = √25
a = 5.
Substitute the value of a into equation 1
Therefore,
cotθ = 12/5
(1+cotθ) =(12/5)+1 = (5+12)/5
(1+cotθ) = 17/5
Answer:
The answer is

Step-by-step explanation:
If two equations are parallel it means that both their gradients are equal. We were given the equation:

in order to find the gradient of this equation that we are given we have to ensure that it is in its simplest form:

Therefore the gradient of the parallel line with points (-2, 4) is also -5/2


Answer:
18.84
Step-by-step explanation:
We have to use the circumference formula: pi x r x 2. The diameter is 6, so the radius is 3. 3.14 is pi in this scenario. 3.14 x 3 x 2 = 18.84