Answer: See below
<u>Step-by-step explanation:</u>
y = a(b)ˣ
- y: final population of zombies
- a: initial population of zombies
- b: rate of decrease
- x: number of hours
Given: a = 500,000 b = 50% (0.5)
y = 500,000(0.5)ˣ
Since we want to know the number assassinated (A), subtract the total from the final population of zombies
A = 500,000 - y
a) Equation: 500,000 - 500,000(0.5)ˣ
b)
(Graph attached)
c) The assassins will earn 100,000 + 2(499,985) = $1,099,970 after 15 hours.
The number of zombies needed to assassinate in order to earn $1,000,000:
100,000 + 2z = 1,000,000
2z = 900,000
z = 450,000
d) How long will it take to eliminate all of the zombies?
The population of zombies is zero when x = 20 hours
How much money did the assassinators earn?
100,000 + 2(500,000) = $1,100,000
Answer:
x = 18
Step-by-step explanation:
JM = LM
8x - 3 = 141
8x = 141 + 3
8x = 144
x = 144/8
x = 18
Answer:
.48
Step-by-step explanation:
Answer:
the answer is (-4, 5)
Step-by-step explanation:
Let's use elimination by addition / subtraction:
-6x - 2y = 14
6x + 7y = 11
-------------------
5y = 25, so y = 5.
Substituting 5 for y in the 2nd equation, we get:
6x + 7(5) = 11, or:
6x + 35 = 11, or
6x = -24, or x = -4.
Thus, the answer is (-4, 5). Please double check to ensure you have copied down both system of equations and answer correctly.
Check: Is (-4, 5) a solution to this system?
Subst. -4 for x and 5 for y in the first equation:
-3(-4) - (5) = 7
12 - 5 = 7 YES
Answer:
Step-by-step explanation:
As the equation is given in the question as follows.
2.5(6x-4)=10+4(1.5+0.5x)
open the bracket
2.5 × 6x - 2.5 × 4 = 10 + 4 × 1.5 + 4 ×0.5x
15x - 10 = 10 + 6 + 2x
15x - 2x = 16 + 10
13x = 26
x = 2
