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Precalculus Test 4: Questions and Solutions, Exams of Pre-Calculus

The questions and solutions for a precalculus test, covering topics such as logarithms, exponents, and compound interest. Students are expected to show their work for partial credit.

Typology: Exams

Pre 2010

Uploaded on 08/03/2009

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MS 101: Precalculus
Test 4
June 26, 2006
Give your best answers to the following questions. Be sure to show your work in order to receive
partial credit. In general, a correct answer without accompanying work will receive no credit. Do
your own work!
On my honor, I have neither given nor received illicit information during this examination.
Signature
Printed Name
pf3
pf4
pf5

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MS 101: Precalculus

Test 4

June 26, 2006

Give your best answers to the following questions. Be sure to show your work in order to receive partial credit. In general, a correct answer without accompanying work will receive no credit. Do your own work!

On my honor, I have neither given nor received illicit information during this examination.

Signature

Printed Name

  1. Suppose that $2500 is invested into an account that pays interest at 3.75% compounded contin- uously. How long will it take for the account to grow to $3000?
  2. Rewrite using properties of logs.

log

x^5 y^3

  1. Evaluate log 9 12.
  2. Solve.

c. ln(5 + 4x) − ln(3 + x) − ln(3) = 0

  1. Paint from Lascaux caves of France contains 15% of the normal amount of Carbon 14. Recall that the amount of Carbon 14 is given by A(t) = A 0 e−.^00001216 t^ where A is the original (normal) amount of Carbon 14. Estimate the age of the paint.
  1. Write as a single log. 5 log x − log(2y) + log z.
  2. Evaluate (you should not need a calculator).

a. log 3 9

b. eln^ x

c. log 4 2 + log 4 32