survey estimates the current average cost of college to be $30,574 per year.   ​(a) If the average cost of college increases by 9.2​% each​ year, what will be the average cost of college 10 years from​ now?   ​(b) If a savings plan offers a rate of 8.2​% compounded​ continuously, how much should be put in the plan now to pay for 1 year of college 10 years from​ now?   After 10 ​years, the average cost of college will be $____per year. ​(Round to the nearest cent as​ needed.)   To pay for 1 year of college 10 years from​ now, put $____ into the savings plan. ​(Round to the nearest cent as​ needed.)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 442RE: Jerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26....
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survey estimates the current average cost of college to be $30,574
per year.
 
​(a) If the average cost of college increases by 9.2​% each​ year, what will be the average cost of college 10 years from​ now?
 
​(b) If a savings plan offers a rate of 8.2​% compounded​ continuously, how much should be put in the plan now to pay for 1 year of college 10 years from​ now?
 
After 10 ​years, the average cost of college will be $____per year.
​(Round to the nearest cent as​ needed.)
 
To pay for 1 year of college 10 years from​ now, put $____ into the savings plan.
​(Round to the nearest cent as​ needed.)
 
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