Course Hero Logo

ميل ستون 5 الجبر.pdf - UNIT 5 — MILESTONE 5 19/22 You...

Course Hero uses AI to attempt to automatically extract content from documents to surface to you and others so you can study better, e.g., in search results, to enrich docs, and more. This preview shows page 1 - 3 out of 20 pages.

1Suppose $24,000 is deposited into an account paying 7.25% interest, which is compounded continuously.How much money will be in the account after ten years if no withdrawals or additional deposits are made?You passed this Milestone19questions were answeredcorrectly.3questions were answeredincorrectly.$47,897.10$46,414.20$48,326.40UNIT 5 — MILESTONE 519/22
CONCEPTContinuously Compounding InterestRATIONALEThis is the general equation for compounding interest.is the principal (orbeginning) balance,is the annual interest rate, andis time (in years). Thenumberis approximately. Using the information provided, plug in theappropriate values into the formula.The account starts with, which gives us the value for. The account earnsinterest at a rate oforas a decimal. This gives us the value for. Wewant to know the value of the account after ten years, sois. To evaluate, firstsimplify the exponent.timesequals. Next, either use thebutton on your calculator orthe approximation ofand raise this value to thepower.to the power ofis equivalent to. Finally, multiply by.The account has a balance of $49,553.54 after 10 years.PrtePrte2.718281e$49,553.54
2CONCEPTSolving Logarithmic Equations using Exponents3Solve the following logarithmic equation.RATIONALELogarithms and exponents are inverse operations. We can use the base of the logarithm,,as a base to an exponent, and place the logarithmic expression as an exponent in theequation. We'll have to do this to both sides of the equation.Here, we usedas a base number on both sides of the equation. When we do this, thelogarithm and exponent will cancel each other out.On the left side, the logarithm and exponent cancel each other out, leaving only. On theright side,is equal to. Finally, divide both sides byto solve for.The solution to the equation is.Suppose,, and.Find the value of the following expression.

Upload your study docs or become a

Course Hero member to access this document

Upload your study docs or become a

Course Hero member to access this document

End of preview. Want to read all 20 pages?

Upload your study docs or become a

Course Hero member to access this document

Term
Fall
Professor
NoProfessor
Tags
Fraction, Elementary arithmetic, Rational function, Geometric progression, Logarithm

Newly uploaded documents

Show More

Newly uploaded documents

Show More

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture