The equation is(√7)^6x = 49x - 6
This equation can be solved by iteration.
Rearranging:
x = ( (√7)^6x + 6 )/49
We start with a value of x = 3.
This value can be substituted to the right side and new value of x can be obtained. This new value can be substituted again to the right side of the equation and another new value for x is obtained. This process is repeated until the old and new values of x are the same.
The result is,x = 0.5
B) No, set of side lengths does not satisfy Triangle Inequality Theorem
Answer:
Sherry's Method of depositing $200 as a principal now with an interest at 4% compound at monthly will result in more money after two years.
Step-by-step explanation:
We use the Total Amount generated using compound interest formula to solve this question
Formula =
Total Amount(A) = P(1 + r/n)^nt
a) For Harrison
Principal = $200
Interest rate = 2% = 0.02
Time = 2 years
n = compounding quarterly = 4
A = P(1 + r/n)^nt
A = $2,000(1 + 0.02/4)^2×4
A = $2,000(0.005)^8
A = $ 2081.4140878
A = $ 2,081.41
b) For Sherry
Principal = $200
Interest rate = 4% = 0.04
Time = 2 years
n = compounding monthly = 4
A = P(1 + r/n)^nt
A = $2,000(1 + 0.04/12)^2×12
A = $2166.2859184
A = $ 2,166.29
The Total Amount for
Harrison = $ 2,081.41
Sherry = $ 2,166.29
Hence, from the above calculation, Sherry's Method of depositing $200 as a principal now with an interest at 4% compound at monthly will result in more money after two years.
