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3 years ago

Y = 100(1.25)

Mathematics

1 answer:

liberstina [14]3 years ago

3 0

It is exponential growth
Initial is 100
Rate of growth is 1.25

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The measures of the base angles of an isosceles triangle are 3x 5 and 5x - 25. The measure of the vertex angle is 6x - 10. Find

lukranit [14]

Answer: The measure of the vertex angle = 80°

Step-by-step explanation:

Angle sum property of triangle : The sum of the measures of the angles for any triangle is 180 degrees.

So,

$3x+ 5 + 5x-25+6x-10= 180\\\\\Rightarrow\ 14x-30=180\\\\\Rightarrow\ 14x= 210\\\\\Rightarrow x=\dfrac{210}{14}=15$ '

Then, vertex angle = $6(15)-10=90-10= 80$

Hence, The measure of the vertex angle = 80°

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3 years ago

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givi [52]

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6 0

3 years ago

HELP ME WITH THIS! 1/3 a = 7/9

andreyandreev [35.5K]

Answer:

a = 2 $\frac{1}{3}$

Step-by-step explanation:

Given

$\frac{1}{3}$ a = $\frac{7}{9}$

Multiply both sides by 9 ( the LCM of 3 and 9 ) to clear the fractions

3a = 7 ( divide both sides by 3 )

a = $\frac{7}{3}$ = 2 $\frac{1}{3}$

6 0

3 years ago

Read 2 more answers

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aivan3 [116]

Answer:

500

Step-by-step explanation:

3 0

3 years ago

At the center of espionage in Kznatropsk one is thinking of a new method for sending Morse telegrams. Instead of using the tradi

alexgriva [62]

Answer:

It takes less time sending 5 letters the traditional way with a probability of 36.7%.

Step-by-step explanation:

First we must take into account that:

- The traditional method is distributed X ~ Poisson(L = 1)

- The new method is distributed X ~ Poisson(L = 5)

$P(X=x)=\frac{L^{x}e^{-L}}{x!}$

Where L is the intensity in which the events happen in a time unit and x is the number of events.

To solve the problem we must calculate the probability of events (to send 5 letters) in a unit of time for both methods, so:

- For the traditional method:

$P(X=5)=\frac{1^{5}e^{-1}}{1!}\\\\P(X=5) = 0.367$

- For the new method:

$P(X=5)=\frac{5^{5}e^{-5}}{5!}\\\\P(X=5) = 0.175$

According to this calculations we have a higher probability of sending 5 letters with the traditional method in a unit of time, that is 36.7%. Whereas sending 5 letters with the new method is less probable in a unit of time. In other words, we have more events per unit of time with the traditional method.

7 0

3 years ago