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Nadusha1986 [10]
4 years ago
5

a population of bacteria grows at a rate of 45% the initial population contains an initial population of 350 what will populatio

n be after 10 hours
Mathematics
1 answer:
monitta4 years ago
5 0
You would use the A=Pe^rt equation here. A (total amount)= P (initial amount) e^r(rate)x t(time). Here is the equation for you to plug into your calculator. A=350e^0.45x10. The answer is..31505.99596
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Identify the factors of x2 − 5x − 24. (x + 8)(x − 3) (x − 8)(x + 3) (x + 4)(x − 6) (x − 4)(x + 6)
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Money Flow  The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4 years. Find the
77julia77 [94]

Answer:

Present value =  $4,122.4

Accumulated amount = $4,742

Step-by-step explanation:

Data provided in the question:

Amount at the Start of money flow = $1,000

Increase in amount is exponentially at the rate of 5% per year

Time = 4 years

Interest rate = 3.5%  compounded continuously

Now,

Accumulated Value of the money flow = 1000e^{0.05t}

The present value of the money flow = \int\limits^4_0 {1000e^{0.05t}(e^{-0.035t})} \, dt

= 1000\int\limits^4_0 {e^{0.015t}} \, dt

= 1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4

= 1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]

= 1000 × [70.7891 - 66.6667]

= $4,122.4

Accumulated interest = e^{rt}\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t}} \, dt

= e^{0.035\times4}\times4,122.4

= $4,742

8 0
3 years ago
PLEASE HELP! Explain your answer, THANK YOU!
Misha Larkins [42]

Answer:

-2/-3

Step-by-step explanation:

(75, 60) (45, 40)

75       60               since 75 is larger than 45, we subtract = -30

45       40               since 60 is larger than 40, we subtract = -20

= -20/-30

reduce

= -2/-3

3 0
4 years ago
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