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SVETLANKA909090 [29]
3 years ago
6

4) BRAINLIEST + 15 + POINTS :)

Mathematics
1 answer:
malfutka [58]3 years ago
6 0

Answer:

C

Step-by-step explanation:

New equation: y = -3(2y + 3) - 4

Distribute and simplify: y = -6y - 13

Add 6y: 7y = -13

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Rus_ich [418]
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The per capita growth rate of many species varies temporally for a variety of reasons, including seasonality and habitat destruc
Veronika [31]

Answer:

n(t)=n_0e^{(1-e^{-t }-t)}

Step-by-step explanation:

If n(t) represents the population size at time t, where n is measured in individuals and t is measured in years.

\frac{dn}{dt}=n(e^{-t }-1), n(0)=n_o

\frac{dn}{n}=(e^{-t }-1)dt

Taking the integral of both sides

\int\frac{dn}{n}=\int(e^{-t }-1)dt\\\int\frac{dn}{n}= \int e^{-t }dt-\int1dt

ln |n| = -e^{-t }-t+C

Where C is integration constant

Taking the exponential of both sides

n=e^{(-e^{-t }-t+C)}

n=e^{(-e^{-t }-t)}e^C\\n=Ke^{(-e^{-t }-t)} whee the exponential of a constant is a constant K.

When t=0, n(0)=n_o

n_0=Ke^{-1

Therefore:

n=n_0e^{1}e^{(-e^{-t }-t)}

n(t)=n_0e^{(1-e^{-t }-t)}

7 0
3 years ago
In ∆ABC, m∠A = 60º, m∠C = 30º, and AB = 6 inches. What is the length of side BC?
Lynna [10]
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7 0
3 years ago
1. The nominal interest rate is8% and the inflation rate is 6%, what is the real rate of interest?
quester [9]

9514 1404 393

Answer:

  1. 1.89%
  2. 5.06%

Step-by-step explanation:

1. Solving for real interest rate, we find it to be ...

  real interest rate = (1 +nominal rate)/(1 +inflation rate) -1

  = 1.08/1.06 -1 ≈ 1.89%

__

2. Solving for nominal interest rate, we find it to be ...

  nominal interest rate = (1 +real interest rate)·(1 +inflation rate) -1

  = (1.02)(1.03) -1 ≈ 5.06%

8 0
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