Answer:
There are a total of 12 combinations you can get
Step-by-step explanation:I counted
Answer:
a. $ 2,431.01 = 4 years
b. $ 4,584.04 = 17 years
c. 4.57 years = $ 2,499.57
d. 8.3 year = $ 2,998.48
e. $ 2,431.01 = 4 years
Step-by-step explanation:
Compound Interest Equation
A = P(1 + r/n)nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
For this case we must find the solution of the following quadratic equation:

Where:

Then, the solution is given by:

Substituting the values:

By definition we have:

Thus, we have two complex roots.
Answer:
The equation has no real roots.
Answer:
3*sqrt(3x)
--------------
2x
Step-by-step explanation:
To rationalize the denominator, we need to get rid of the square root. We need to multiply by sqrt(12x)/sqrt(12x)
9 sqrt(12x)
---------- * -----------
sqrt(12x) sqrt(12x)
9sqrt(12x)
-----------------
12x
We can cancel 3 in the top and bottom
3sqrt(12x)
---------------
4x
We also notice that 12 is made up of 4 and 3
3sqrt(4) sqrt(3x)
---------------
4x
3sqrt(4) sqrt(3x)
----------------------
4x
3*2sqrt(3x)
--------------
4x
We can cancel a 2 in the top and bottom
3*sqrt(3x)
--------------
2x
1 3/7 ~ One and three sevenths