A) The amount of the discount is the interest due, $63.75.
I = Prt
I = 5000*0.051*13/52
I = 63.75
b) Zakir will pay the discounted price, $5000 -63.75 = $4936.25
c) The effective rate is r/(1 -rt) = 5.1%/(1 -0.051*13/52) ≈ 5.17%
A bacteria culture starts with 500 bacteria and doubles in size every half hour.1
(a) How many bacteria are there after 3 hours?
We are told “. . . doubles in size every half hour.” Let’s make a table of the time and population:
t 0 0.5 1.0 1.5 2.0 2.5 3.0
bacteria 500 1000 2000 4000 8000 16000 32000
Thus, after three hours, the population of bacteria is 32,000.
(b) How many bacteria are there after t hours?
In t hours, there are 2t doubling periods. (For example, after 4 hours, the population has doubled 8
times.) The initial value is 500, so the population P at time t is given by
P(t) = 500 · 2
2t
Answer:
It is purple
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
5!
The factorial means multiply that number and all the numbers below it to 1
5! = 5*4*3*2*1
120
4x + 5y + x - 5xy - 3y
5x + 5y - 5xy - 3y
5x + 2y - 5xy
