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2 years ago

2818 people ferried to an island. If the ferry took 70 people in one trip, how many trips did the ferry make.

Mathematics

1 answer:

sasho [114]2 years ago

5 0

Answer:

Step-by-step explanation:

Divide 2818 by 70 and it comes out to: 40.2571429 it is not 40 because their is still some left over so there will be 41 ferry's and one of them will not be a full ride!

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3 years ago

One number is 6 times a second number. The sum of the two numbers is 56. Find the numbersOne number is 6 times a second number.

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Step-by-step explanation:

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3 years ago

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Answer:

<A = 62

Step-by-step explanation:

<A and <B add up to 90 degrees. Definition of Complementary.

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3 years ago

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3 years ago

A chemical substance has a decay rate of 6.9% per day. The rate of change of an amount N of the chemical is given by the equatio

GaryK [48]

Answer:

a) $N=N_0e^{-0.069t}$

b) $N=696.9$ grams

c) $t=10$ days

Step-by-step explanation:

We are going to use separation of variables to solve.

Get all your t's to one side and your N's to opposing side.

$\frac{dN}{dt}=-0.069N$

Multiply both sides by $dt$ :

$dN=-0.069N dt$

Divided both sides by $N$ :

$\frac{dN}{N}=-0.069 dt$

Integrate both sides:

$\ln|N|=-0.069t+C$

The equivalent exponential form is:

$e^{-0.069t+C}=N$

Using law of exponents you can write this as:

$e^{-0.069t}e^C=N$

$e^C$ is just a positive constant that I'm going to replace with K:

$e^{-0.069t}K=N$

Applying the symmetric property of equality:

$N=e^{-0.069t}K$

Applying the commutative property of multiplication:

$N=Ke^{-0.069t}$

K actually represents the initial amount of chemical substance since when plugging in 0 for t you get K for N, like so:

$N=Ke^{-0.069 \cdot 0}$

$N=Ke^{0}$

$N=K(1)$

$N=K$

We are given at time 0 the amount of chemical substance,N, is K. They want us to represent this value with $N_0$ instead. So the exponential equation is: