12. [-/1 Points] DETAILS MY NOTES BERRAPCALC7 9.2.035. Write the differential equation (unlimited, limited, or logistic) that applies to the situation described. Then use its solution to solve the problem. The value of a stamp collection, initially worth $1400, grows continuously at the rate of 7% per year. Find a formula for its value after t years. VY= Need Help? Submit Answer 13. [-/1 Points] DETAILS MY NOTES BERRAPCALC7 9.2.036. Write the differential equation (unlimited, limited, or logistic) that applies to the situation described. Then use its solution to solve the problem. The value of a home, originally worth $25,000, grows continuously at the rate of 5% per year. Find a formula for its value after t years. y = BERRAPCALC7 9.2.038. ASK YOUR TEACHER PRACTICE ANOTHER Write the differential equation (unlimited, limited, or logistic) that applies to the situation described. Then use its solution to solve the problem 14. [-/2 Points] Let p() 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.) p= 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.) people Need Help? Submit Answer BERRAPCALC7 9.2.039. ASK YOUR TEACHER PRACTICE ANOTHER Write the differential equation (unlimited, limited, or logistic) that applies to the situation described. Then use its solution to solve the problem 15. [-/2 Points] 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.) y= How many weeks will it take to raise $5000? (Round your answer to two decimal places.) 16. [-/2 Points] BERRAPCALC7 9.2.040. ASK YOUR TEACHER PRACTICE ANOTHER Write the differential equation (unlimited, limited, or logistic) that applies to the situation described. Then use its solution to solve the problem. A person can memorize at most 40 two-digit numbers. If that person can memorize 25 numbers in the first 20 minutes, find a formula for the number that can be memorized in t minutes. (Round your coefficients to four decimal places.) y = Use your answer to estimate how long the person will take to memorize 30 numbers. (Round your answer to the nearest minute.) min Need Help? Submit