Answer: A) $120,953
Step-by-step explanation:
The formula to calculate the compound amount (semi-annually):-
, where P is principal amount , r is rate of interest and n is the number of time periods.
Given : Principal amount : P= $90,000
Rate of interest : 6% per annum = 0.06 per annum
Time period : n= 5 years
Hence, the ABC will have $ 120,953 in the account after five years if interest is reinvested.
2x-3 > 11 - 5x
2x + 5x > 11 + 3
7x > 14
x > 14/7
x > 2
I am thinking of a rectangle that has the two sides parallel to one another. Set the two functions equal to one another, so
9x-14=7x+4
After a bunch of algebra and math magic, 2x=18 => x=9
So if you just insert 9 into both equations, both will end up with a value of 67, so it ends up looking like a right triangle. Don't do that. Instead, to find the rectangle widths, use 9x-4 (+10 added to intercept) instead, while keeping 7x+4, so that the intercepts match.
LN) 9x-4 = 9(9)-4 = 81-4 = 77
MP) 7(9)+4 = 63+4 = 67
*If you are also looking for the diagonals, use Pythagorean Theorem 77^2+67^2=(hypotenuse)^2*
Answer:
x^8
Step-by-step explanation:
(x^4)^2
~Apply power rule [ (a^b)^c = a^bc ]
x^4(2)
~Simplify
x^8
Best of Luck!
