Write the differential equation (unlimited, limited, or logistic) that applies to the situation described. Then use its solution to solve the problem. Let p(t) be the number of people in a city who have heard of a new product after t weeks of advertising. The city is of size 1,000,000, and p(t) grows at a rate proportional to the number of people in the city who have not heard of the product. If after 5 weeks 250,000 people have heard of the product, find a formula for p(t). (Round your coefficients to three decimal places.) b= 1,000.000( 1 o ~0-0339r) X Use your formula to estimate the number of people who will have heard of the product after 25 weeks of advertising. (Round your answer to the nearest whole number.) 593024 people Write the differential equation (unlimited, limited, or logistic) that applies to the situation described. Then use its solution to solve the problem In a drive to raise $6000, fund-raisers estimate that the rate of contributions is proportional to the distance from the goal. If $1400 was raised in 1 week, find a formula for the amount raised in t weeks. (Round your coefficients to three decimal places.) v= 6000(1 0261) X How many weeks will it take to raise $5000? (Round your answer to two decimal places.) 1467 % weeks