The number of bacteria in a culture increases continuously and rapidly when put under a heat source. a culture containing 20 bacteria multiplies to 117,360 in one minute.

a. what is the rate of increase, as a percentage to the nearest hundredth, if time is measured in seconds

The answer is 14.46%

Step-by-step explanation:

Given is : A culture containing 20 bacteria multiplies to 117,360 in one minute.

Let A0 be initial bacteria count = 20

Let A be final bacteria count = 117360

Time = 60 seconds

R = rate

Formula to be used =

Taking log function (ln) on both sides.

Hence, r = 0.1446 and in percentage it is 14.46%

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925

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.