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Students solve eight application questions involving compound interest, annual salary raises, annual percentage donations, and repeated percentage changes in an office tower’s floor areas. Additional tasks include finding floors where rent reaches a given value, determining depreciation time for a car fleet, computing a constant monthly user growth rate, and calculating the per-bounce height reduction percentage for a bouncing ball. Results require rounding to the nearest percent when indicated.","Kuta Software-Infinite Algebra 2  \nDiscrete Exponential Growth and Decay  \nName  Date   Period   \nSolve each discrete exponential growth/decay problem. You may use the provided graph to plot points or sketch the exponential function.  \n1) A savings account balance is compounded annually. If the interest rate is 2% per year and the current balance is $1,430.00, what will the balance be 8 years from now?  \n1 2 3 4 5 6 7 8 9 10 year  \n3) A philanthropist pledges to donate 17% of a fund each year. If the fund initially has $450,000 .00, how much will the fund have after 7 years?  \n500000450000400000350000 300000 250000 200000 150000 100000  \n50000  \n1 2 3 4 5 6 7 8 9 year  \n2) An employee receives a 4% raise once per year. If the employee's initial salary is $72,300 .00, what will the employee's salary be after 10 years?  \n120000100000  \n8000060000  \n4000020000  \n1 2 3 4 5 6 7 8 9 10 11 12 year  \n4) An architect is designing a tapered office tower where the ground floor (floor 0) is the largest and the floor space is reduced by 5% per floor. If the ground floor hasan area of 1,140 .0 m², what is the area of the 9th floor?  \n1 2 3 4 5 6 7 8 9 10 11floor  \nSolve each discrete exponential growth/decay problem.  \n5) Rentals in a high rise apartment building get more expensive higher up, since the views get better. The ground floor (floor 0) rent is $1,680 .00. The rent increases 4.7% per floor. On what floor is the rent $4,209.62?  \n6) For tax purposes, a car rental company assumes each car in their fleet depreciates by 5.5% per year. If the initial value of a car is $21,300 .00, in how many years will the value depreciate to $8,615 .66?  \nSolve each discrete exponential growth/decay problem. Round your answer to the nearest percent.  \n7) A new social media site is increasing its user base by a constant percentage per month. If the user base grows from  \n29,130 users to 52,167 users over 10 months, at what monthly rate is the userbase increasing?  \n8) A rubber bouncy ball is dropped from a height of 115.00 inches onto a hard flat floor. After each bounce, the ball returns to a height that is a constant percentage less than the previous maximum height. After the 19th bounce, the ball reaches a maximum height of 3.34 inches. At what percentage does the maximum ball height reduce per bounce?  \nKuta Software-Infinite Algebra 2  \nDiscrete Exponential Growth and Decay  \nName  Date   Period   \nSolve each discrete exponential growth/decay problem. You may use the provided graph to plot points or sketch the exponential function.  \n1) A savings account balance is compounded annually. If the interest rate is 2% per year and the current balance is $1,430.00, what will the balance be 8 years from now?  \n1 2 3 4 5 6 7 8 9 10 year  \n1430 × 1.028 ≈ $1,675 .47  \n2) An employee receives a 4% raise once per year. If the employee's initial salary is $72,300 .00, what will the employee's salary be after 10 years?  \n120000100000  \n8000060000  \n4000020000  \n1 2 3 4 5 6 7 8 9 10 11 12 year  \n72300 × 1.0410 ≈ $107,021 .66  \n3) A philanthropist pledges to donate 17% of a fund each year. If the fund initially has $450,000 .00, how much will the fund have after 7 years?  \n500000450000400000350000 300000 250000 200000 150000 100000  \n50000  \n1 2 3 4 5 6 7 8 9 year  \n450000 × 0.837 ≈ $122,112 .23  \n4) An architect is designing a tapered office tower where the ground floor (floor 0) is the largest and the floor space is reduced by 5% per floor. If the ground floor hasan area of 1,140 .0 m², what is the area of the 9th floor?  \n1 2 3 4 5 6 7 8 9 10 11floor  \n1140 × 0.959 ≈ 718.5 m²  \nSolve each discrete exponential growth/decay problem.  \n5) Rentals in a high rise apartment building get more expensive higher up, since the views get better. The ground floor (floor 0) rent is $1,680 .00. The rent increases 4.7% per floor. On what floor is the rent $4,209.62?  \nln 4209.62  \n1680 ~~ ~~ ≈ 20th floor  \nln 1.047  \n6) For tax purposes, a car rental company assumes each car ","cbCaicQqAPUg0EKp","https://ap.wps.com/l/cbCaicQqAPUg0EKp","pdf",125721,11,"English","en",105,"# Discrete Exponential Growth and Decay\n## Problems 1-4\n## Problems 5-8","[{\"question\":\"How do you find the future value for a savings account with annual compounding?\",\"answer\":\"Use compound growth with the given interest rate and initial balance, applying the exponent for the number of years, then evaluate the resulting expression for the final balance.\"},{\"question\":\"What method applies to yearly raises or repeated percentage donations?\",\"answer\":\"Model each year as multiplying by (1 + rate) for raises or by the appropriate remaining fraction (e.g., 1 - donation rate) for donations, then raise to the number of years.\"},{\"question\":\"How do you calculate a constant monthly growth rate from start and end user counts?\",\"answer\":\"Let the monthly growth be a constant multiplier and set the end users equal to start users times that multiplier raised to the number of months, then solve for the monthly rate.\"}]","Discrete Exponential Growth and Decay - Solve each discrete exponential growth/decay problem | PDF",1791425990,{"code":4,"msg":81,"data":82},"ok",{"site_id":75,"language":74,"slug":83,"title":65,"keywords":84,"description":66,"schema_data":85,"social_meta":139,"head_meta":141,"extra_data":143,"updated_unix":144},"discrete-exponential-growth-and-decay-solve-each-discrete-exponential-growthdecay-problem","",{"@graph":86,"@context":138},[87,101,121],{"@type":88,"itemListElement":89},"BreadcrumbList",[90,94,96,99],{"item":91,"name":92,"@type":93,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":95,"name":9,"@type":93,"position":14},"https://docshare.wps.com/document/",{"item":97,"name":20,"@type":93,"position":98},"https://docshare.wps.com/document/exam/",3,{"item":100,"name":65,"@type":93,"position":19},"https://docshare.wps.com/document/discrete-exponential-growth-and-decay-solve-each-discrete-exponential-growthdecay-problem/522623/",{"url":100,"name":65,"@type":102,"image":103,"author":108,"headline":65,"publisher":110,"fileFormat":113,"inLanguage":74,"description":66,"dateModified":114,"datePublished":115,"encodingFormat":113,"isAccessibleForFree":116,"interactionStatistic":117},"DigitalDocument",{"url":104,"@type":105,"width":106,"height":107},"https://docshare.wps.com/thumbnails/discrete-exponential-growth-and-decay-solve-each-discrete-exponential-growthdecay-problem/522623.png","ImageObject",300,407,{"name":63,"@type":109},"Person",{"url":91,"name":111,"@type":112},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":118,"interactionType":119,"userInteractionCount":72},"InteractionCounter",{"@type":120},"ViewAction",{"@type":122,"mainEntity":123},"FAQPage",[124,130,134],{"name":125,"@type":126,"acceptedAnswer":127},"How do you find the future value for a savings account with annual compounding?","Question",{"text":128,"@type":129},"Use compound growth with the given interest rate and initial balance, applying the exponent for the number of years, then evaluate the resulting expression for the final balance.","Answer",{"name":131,"@type":126,"acceptedAnswer":132},"What method applies to yearly raises or repeated percentage donations?",{"text":133,"@type":129},"Model each year as multiplying by (1 + rate) for raises or by the appropriate remaining fraction (e.g., 1 - donation rate) for donations, then raise to the number of years.",{"name":135,"@type":126,"acceptedAnswer":136},"How do you calculate a constant monthly growth rate from start and end user counts?",{"text":137,"@type":129},"Let the monthly growth be a constant multiplier and set the end users equal to start users times that multiplier raised to the number of months, then solve for the monthly rate.","https://schema.org",{"og:url":100,"og:type":140,"og:title":65,"og:site_name":111,"og:description":66},"article",{"robots":142,"canonical":100},"index,follow",{"doc_id":61,"site_id":75},1791459921]