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 .

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Step-by-step explanation:

     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%

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.