Part A:
I have attached the graph of this system of inequalities.
Part B:
Plug in (8,10) into both equations
10 > 3(8) + 10
10 > 24 + 10
10 > 34
This is false!
10 < (-3/4)(8) - 1
10 < (-3)(2) - 1
10 < -6 - 1
10 < -7
This is also false!
So,
(8,10) is not included in the solution area for the system.
A comparison of two quantities is called a ratio
Answer:
$8100·1.024^28
Step-by-step explanation:
The future value formula is ...
FV = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual interest rate, n is the number of times per year interest is compounded and t is the number of years. Putting the given numbers in place of the corresponding variables gives the expression you want:
FV = $8100(1 +.048/2)^(2·14)
FV = $8100·1.024^28 . . . . . simplified
Answer: 1/8
Step-by-step explanation: There is 1/4 of a chance of spinning a red, and 1/2 of a chance of getting a heads. Multiply these numbers.
1/4 x 1/2 = 1/8
There is a 1/8 chance of this outcome.