Find the interest rate needed for an investment of $5500 to double in 5 years if interest is compounded continuously. (Round your answer to two decimal places.)  %/year

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CT: Chapter Test
Problem 11CT
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  • Find the interest rate needed for an investment of $5500 to double in 5 years if interest is compounded continuously. (Round your answer to two decimal places.)
     %/year
  • Find the present value of $20,000 due in 7 years at the given rate of interest. (Use a 365-day year. Round your answer to the nearest cent.)
    6%/year compounded quarterly
  • Use logarithms to solve the problem.
    How long will it take $14,000 to grow to $18,000 if the investment earns interest at the rate of 4%/year compounded monthly? (Round your answer to two decimal places.)
     yr
  • Find the accumulated amount A if the principal P is invested at the interest rate of r/year for t years. (Use a 365-day year. Round your answer to the nearest cent.)
    P = $140,000, r = 7%, t = 7.25,
     compounded monthly
    A = $ 
  • David owns $20,000 worth of 10-year bonds of Ace Corporation. These bonds pay interest every 6 months at the rate of 2%/year (simple interest). How much income will David receive from this investment every 6 months?


    How much interest will David receive over the life of the bonds?$
  • Find the simple interest on a $1400 investment made for 5 years at an interest rate of 6%/year. What is the accumulated amount? (Round your answers to the nearest cent.)
    simple interest
    accumulated amount  
  • Find the effective rate corresponding to the given nominal rate. (Use a 365-day year.)
    4%/year compounded semiannually
     %/year
  • Find the effective rate of interest corresponding to a nominal rate of 3.8%/year compounded annually, semiannually, quarterly, and monthly. (Round your answers to two decimal places.)
    annually      %
    semiannually      %
    quarterly      %
    monthly      %
  • Determine the simple interest rate at which $2400 will grow to $2571 in 9 months. (Round your answer to two decimal places.)
     %/year
  • How many days will it take for $1900 to earn $12 interest if it is deposited in a bank paying simple interest at the rate of 4%/year? (Use a 365-day year. Round your answer up to the nearest full day.)
     days
  • Having received a large inheritance, Jing-mei's parents wish to establish a trust for her college education. Nine years from now they need an estimated $150,000. How much should they set aside in trust now if they invest the money at 6.2%/year compounded quarterly? Continuously? (Round nearest cent.)
    quarterly$ continuously$ 
  • Find the accumulated amount after 5 years if $4000 is invested at 2%/year compounded continuously. (Round cent.)
  • A bank deposit paying simple interest at the rate of 8%/year grew to $2000 in 10 months. Find the principal. (Round nearest cent.)
    $
  • Use logarithms to solve the problem.
    How long will it take an investment of $3000 to triple if the investment earns interest at the rate of 3%/year compounded daily? (Round 2 decimal places.) yr
  • A young man is the beneficiary of a trust fund established for him 16 years ago at his birth. If the original amount placed in trust was $50,000, how much will he receive if the money has earned interest at the rate of 9%/year compounded annually? Compounded quarterly? Compounded monthly? (Round cent.)
    compounded annually    
    compounded quarterly    
    compounded monthly    
  • Find the accumulated amount at the end of 10 months on a $1200 bank deposit paying simple interest at a rate of 9%/year. (Round nearest cent.)
  • A bank deposit paying simple interest grew from an initial amount of $1000 to $1050 in 6 months. Find the interest rate.
     %/year
  • Find the accumulated amount A if the principal P is invested at the interest rate of r/year for t years. (365-day year. Round  nearest cent.)
    P = $2500, r = 5%, t = 13.5,
     compounded semiannually
    A = $
  • Seven and a half years ago, Chris invested $10,000 in a retirement fund that grew at the rate of 2.82%/year compounded quarterly. What is his account worth today? (Round nearest cent.)
  • Find the accumulated amount A if the principal P is invested at the interest rate of r/year for t years. (365-day year. Round nearest cent.)
P = $210,000, 
r = 2.5%,
 t = 3, compounded daily
A = $ 
  • Use logarithms
    Find the interest rate needed for an investment of $5500 to double in 5 years if interest is compounded continuously. (Round 2 decimal places.)
     %/year
     
  • Find the present value of $20,000 due in 7 years at the given rate of interest. (365-day year. Round to nearest cent.)
    6%/year compounded quarterly
  • How long will it take $14,000 to grow to $18,000 if the investment earns interest at the rate of 4%/year compounded monthly? (Round your answer to two decimal places.)
     yr
  • Find the accumulated amount A if the principal P is invested at the interest rate of r/year for t years. (Use a 365-day year. Round your answer to the nearest cent.)
    P = $140,000, r = 7%, t = 7.25,
     compounded monthly
    A = $ 
  • A group of private investors purchased a condominium complex for $4 million. They made an initial down payment of 10% and obtained financing for the balance. If the loan is to be amortized over 12 years at an interest rate of 5.6%/year compounded quarterly, find the required quarterly payment. (Round your answer to the nearest cent.)
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