Answer:
The principal investment required to get a total amount of $ 1,000,000.00 from compound interest at a rate of 6% per year compounded 12 times per year over 45 years is $ 67,659.17.
Step-by-step explanation:
Given
- Accrued Amount A = $1000000
- Interest rate r = 6% = 0.06
- Compounded monthly n = 12
To determine:
Using the formula
substituting A = 1000000, r = 0.06, t = 45, and n = 12
$
Therefore, the principal investment required to get a total amount of $ 1,000,000.00 from compound interest at a rate of 6% per year compounded 12 times per year over 45 years is $ 67,659.17.
Step-by-step explanation:
Add 1 to both sides
Multiply both sides by 4
Take the square root of both sides
Subtract 5 from both sides
(straight from khan academy hints)
Answer:
4 pages
Step-by-step explanation:
48 divided by 12 = 4
The given polynomial is
f(x) = x³ + 6x² + 12x + 35
According to the Remainder Theorem, if x = a is a zero, then
f(a) = 0, and (x-a) is a factor.
Test (x-1):
f(1) = 1 + 6 +12 + 35 = 54
Not a factor.
Test (x-3):
f(3) = 3³ +6*3² + 12*3 + 35 = 152
Not a factor.
Test (x+3):
f(-3) = (-3)³ + 6*(-3)² + 12*(-3) + 35 = 26
Not a factor.
Test (x+5):
(-5)³ + 6*(-5)² + 12*(-5) + 35 = 0
It is a factor.
Answer: (x+5) is a factor.
Answer:
C(x) = 15 + 12 * x
Step-by-step explanation:
Cost = monthly fee plus cost per hour * hours
C(x) = 15 + 12 * x
