An advertising company designs a campaign to introduce a new product to a metropolitan area of population 2 million people. let p(t) denote the number of people (in millions) who become aware of the product by time t. suppose that p increases at a rate proportional to the number of people still unaware of the product. the company determines that no one was aware of the product at the beginning of the campaign, and that 40% of the people were aware of the product after 30 days of advertising. the number of people who become aware of the product at time t is:

The number of people who become aware of the product at time t is 800,000.

Step-by-step explanation:

The problem states that:

The company determines that no one was aware of the product at the beginning of the campaign, and that 40% of the people were aware of the product after 30 days of advertising.

So, in a month, 40% of the population became aware of the product.

The population is 2,000,000.

So

The number of people who become aware of the product at time t is 800,000.

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 .

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