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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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Answer:

C. (-13, -7)

Step-by-step explanation:

The location of a point O(x, y) that divides a line AB with location A(x_1,y_1) and B(x_2,y_2) in the ratio m:n is given by:

x=\frac{m}{m+n} (x_2-x_1)+x_1\\\\y=\frac{m}{m+n} (y_2-y_1)+y_1

Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:

x=\frac{5}{5+2} (-15-(-8))+(-8)\\\\x=\frac{5}{7} (-15+8)-8=\frac{5}{7}(-7)-8=-5-8=-13 \\\\\\y=\frac{5}{5+2} (-13-8)+8\\\\y=\frac{5}{7} (-21)+8=5(-3)+8=-15+8=-7

Therefore the coordinates of point X is at (-13, -7)

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A statistic is said to be unbiased if
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A statistic is said to be unbiased if the mean of its sampling distribution is equal to the true value of the parameter being estimated.

Step-by-step explanation:

A parameter is a number that describes the population.  

A statistic is a number that describes a sample.  

A statistic used to estimate a parameter is unbiased if the mean of its sampling distribution is exactly equal to the true value of the parameter being estimated. For example, the mean of a sample is an unbiased estimate of the mean of the population from which the sample was drawn.

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Step-by-step explanation:

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