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Andrei [34K]
3 years ago
15

A house purchased 5 years ago for 100,000 was sold for 161,051. Assuming exponential growth , approximate the annual growth rate

, to the nearest percent .
Mathematics
2 answers:
charle [14.2K]3 years ago
7 0

Answer:

     ln A - ln P

r = ----------------

             t

Step-by-step explanation:

The exponential growth function is A = Pe^(rt), where r is the annual growth rate as a decimal fraction and t is the number of years.

Taking the natural log of both sides, we get

ln A = ln P + rt, or

ln A - ln P = rt

Since t = 5 yr,

     ln A - ln P

r = ----------------

             t

and in this case,

     ln A - ln P         11.989-9.21034

r = ----------------  =  ------------------------ = 0.56

             t                           5

The annual growth rate, to the nearest percent, is 56%

Pepsi [2]3 years ago
3 0

Answer:

?

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Suppose the number of insect fragments in a chocolate bar follows a Poisson process with the expected number of fragments in a 2
leonid [27]

Answer:

a)The expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b)0.6004

c)19.607

Step-by-step explanation:

Let X denotes the number of fragments in 200 gm chocolate bar with expected number of fragments 10.2

X ~ Poisson(A) where \lambda = \frac{10.2}{200} = 0.051

a)We are supposed to find the expected number of insect fragments in 1/4 of a 200-gram chocolate bar

\frac{1}{4} \times 200 = 50

50 grams of bar contains expected fragments = \lambda x = 0.051 \times 50=2.55

So, the expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b) Now we are supposed to find the probability that you have to eat more than 10 grams of chocolate bar before ending your first fragment

Let X denotes the number of grams to be eaten before another fragment is detected.

P(X>10)= e^{-\lambda \times x}= e^{-0.051 \times 10}= e^{-0.51}=0.6004

c)The expected number of grams to be eaten before encountering the first fragments :

E(X)=\frac{1}{\lambda}=\frac{1}{0.051}=19.607 grams

7 0
3 years ago
Plzzzzzx anyone help me
Yuki888 [10]

First look at the points and find their x and y values. So we have:

(-3,3), (0,0), (3,3)

Next separate the x values and the y values

x values: -3, 0, 3

y values: 3, 0, 3

The x values are your domain and the y values are are range

So the answer is b

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3 years ago
A hamster wheel has a diameter of 9 inches and makes one revolution every 3 seconds when the hamster is running on it. From the
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2.09 rad/sec

Step-by-step explanation:

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3 years ago
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Please help, my computer is about to die and this is due in a few minutes. Will mark brainlist if correct.
lidiya [134]

Answer:

x = 1.5

Step-by-step explanation:

Here, we want to solve for the value of x

By using the tangent from the same point theorem, we have it that;

lh^2 = lj * lk

1^2 = (0.5) * (0.5 + x)

1 = 0.5x + 0.25

1-0.25 = 0.5x

0.5x = 0.75

x = 0.75/0.5

x = 1.5

3 0
2 years ago
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