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Elodia [21]
4 years ago
6

With continuous compounding, a principal of P dollars accumulates to an amount A given by the equation

Mathematics
1 answer:
steposvetlana [31]4 years ago
7 0
A)

\bf \qquad \textit{Continuously Compounding Interest Earned Amount}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$1000\\
r=rate\to 7\%\to \frac{7}{100}\to &0.07\\
t=years\to &10
\end{cases}
\\\\\\
A=1000e^{0.07\cdot 10}
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Aaron is 5 years younger than Ron. Four years later, Ron will be twice as old as Aaron.
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Answer:

Aaron’s present age = x - 5 = 6 - 5 = 1

Step-by-step explanation:

Let Ron’s present age be x.  

Then Aaron’s present age = x - 5

After 4 years Ron’s age = x + 4, Aaron’s age x - 5 + 4.  

According to the question;  

Ron will be twice as old as Aaron.  

Therefore, x + 4 = 2(x - 5 + 4)  

⇒ x + 4 = 2(x - 1)  

⇒ x + 4 = 2x - 2

⇒ x + 4 = 2x - 2

⇒ x - 2x = -2 - 4

⇒ -x = -6

⇒ x = 6

Therefore, Aaron’s present age = x - 5 = 6 - 5 = 1

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You have a bag full of apples. There are 8 Jonathan (red), 4 Granny Smith (green), and 5 Golden Delicious (yellow) apples in the
vredina [299]

Answer:

Step-by-step explanation:

There are 8 Jonathan (red), 4 Granny Smith (green), and 5 Golden Delicious (yellow) apples in the bag.

a) Select 3 apples with replacement. Find the probability that all there are green.

  • Given that we are taking all apples with replacement, the probability of getting a green apples remains the same in all 3 trials. Therefore the probability here is computed as:

  • = (Number of green apples/Total apples)
  • = (4/17)^3
  • = 0.0130

Therefore 0.0130 is the required probability here.

b) Select 3 apples with replacement. Find the probability that none are red

Probability that none are red is computed here as:

  • = (Number of non red apples/Total apples)
  • = (9/17)^3
  • = 0.14838

Therefore 0.14838 is the required probability here

c) Select 4 apples with replacement. Find the probability that you get at least 2 red apples

  • Probability that we get at least 2 red apples when 4 apples are drawn is computed here as:
  • = 1 - (Probability that no red apple is taken out when 4 apples are taken out + Probability that 1 red apple is taken out when 4 apples are taken out)
  • = 1 - 8C0 x 9C4 + 8C1 x 9C3 / 17C4
  • = 1 - 0.3353
  • = 0.6647

Therefore 0.6647 is the required probability here

d) Select 2 apples with replacement. Find the probability that the second apple is yellow given that the first apple is red.

  • Given that the first apple is red, we are left with 16 apples out of which 5 are yellow. Therefore the required probability here is computed as:
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Therefore 0.3125 is the required probability here

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3 years ago
What area of the grass is being watered by this sprinkler
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<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Use this formula:

Area of circle = \pi r^{2}

However, as we are using 3.14 for 'pi', we can write it like this:

Area = (3.14)r^{2}

'r' is the radius which is 12ft

Substitute this value into the equation:

Area = (3.14)12^{2}

Solve:

Area = 452.16

Multiply this value by 0.75 to get the answer:

452.16 x 0.75 = 339.12

339.12 square feet is being watered

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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