Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:

Where,
is the initial value, k is the growth constant and t is the number of years.
Putting
in the above formula, we get



Taking ln on both sides, we get

![[\because \ln e^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ex%3Dx%5D)



Therefore, the number of bacteria will be 15,000 after 0.575 hours.
Plug 7 into each y. 9(7) -4(7) +3
63-28+3
The answer is 38
Answer: 3 quarters is equal to .75 and 2 dimes is equal to .20
So far we have .95 with 5 coins
2 nickels which is equal to .10
1 penny
8 coins = 1.06
Step-by-step explanation:
-5y^2 + 2y + 2 = 0
y = -2 ± ✓4 - 4*-5*2. /. -10
y = -2 ± ✓44. / -10
y = -1 ± ✓11. / -5
(-1+✓11)/-5. and (-1-✓11)/-5