suppose+the+population+of+a+small+t own+is+16000+and+growing+exponentia lly+at+2.2+%.+how+many+years+until+ the+population+reaches+25000?

  20.5 years

Step-by-step explanation:

The population is given by the exponential function ...

  p = 16000·(1 +0.022)^t

When p = 25000, we can find the value of t by taking logarithms.

  log(25000/16000) = t·log(1.022) . . . . . divide by 16000, take the log

  t = log(25/16)/log(1.022) ≈ 20.5 . . . . . . divide by the coefficient of t

It will take about 20.5 years for the population to reach 25000.

good bye

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .