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Concept explainers
Savings Account Let
a. How much money was originally deposited in the account?
b. What interest rate is being earned?
c. Find the formula for
d. What is the balance after
e. Use part (d) and the differential equation to determine how fast the balance is growing after
f. How large will the balance be when it is growing at the rate of
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Chapter 5 Solutions
MyLab Math with Pearson eText -- 24 Month Access -- for Calculus & Its Applications
- An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?arrow_forwardThe formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.arrow_forwardAn investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000 Compare the values of the account after 9 yearswhen the interest is compounded annually, quarterly,monthly, and continuously.arrow_forward
- Cesium-137 has a half-life of about 30 years. If we begin with 200 mg of cesium-137, will it take more or less than 230 years until only 1 milligram remains?arrow_forwardThe half-life of radioactive actinium ( 227AC ) is 21.77 years. What percent of a present amount of radioactive actinium will remain after 19 years?arrow_forward
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