Answer:
5,31,616 bacteria
Step-by-step explanation:
Solution:
Here, Principal (P) = 5,06,000, Rate of Interest (R) = 2.5%, Time (n) = 2 hours
After 2 hours, number of bacteria,
Amount (A) = P\left(1+\frac{R}{100}\right)^nP(1+100R)n
= 506000\left(1+\frac{2.5}{100}\right)^2506000(1+1002.5)2
= 506000\left(1+\frac{25}{1000}\right)^2506000(1+100025)2
= 506000\left(1+\frac{1}{40}\right)^2506000(1+401)2
= 506000\left(\frac{41}{40}\right)^2506000(4041)2
= 506000\times\frac{41}{40}\times\frac{41}{40}506000×4041×4041
= 5,31,616.25
Hence, number of bacteria after two hours are 531616 (approx.).
Answer:
-4x+4y+21
Step-by-step explanation:
-3(2x-7)+2y+2(x+y)
-6x+21+2y+2x+2y
-4x+21+4y
-4x+4y+21
Expanded and simplified :)
Answer:
a) 30% probability that it will not be colder today than it was yesterday
b) 90% probability that it will not be warmer today than it was yesterday
Step-by-step explanation:
In this question, we have that:
0.1 = 10% probability it will be warmer today than yesterday.
0.7 = 70% probability it will be colder today than yesterday.
a .What is the probability that it will not be colder today than it was yesterday?
70% probability it will be colder, so 100 - 70 = 30% probability that it will not be colder today than it was yesterday.
b What is the probability that it will not be warmer today than it was yesterday?
10% probability it will be warmer today than yesterday, so 100 - 10 = 90% probability that it will not be warmer today than it was yesterday
Answer:
x = 5
Step-by-step explanation:
vertical angles are equal so we can write this equation:
2x-4 = x+1
x - 4 = 1
x = 5