MATH 104 Algebra Applications

Aug 8th, 2014
Price: $15 USD

Question description

Write the equations in logarithmic form.


343 = 73


81 = (1/9 ninth) -2 square


a = bc

Use the definition of logarithm to simplify each expression.


log10 10


log10 100


log10 10?3

Solve each exponential equation. Give the exact value forx.


7x = 1/49 (1 over 49)


x =


5x = 8

x =


4x = 2.5

x =


2x = 3

x =

Find a simplified value for x by inspection. Do not use a calculator.


log7 49 = x

x =


log2 16 = x

x =


log3 81 = x

x =


log4 64 = x

x =

Contract the expressions. That is, use the properties of logarithms to write each expression as a single logarithm with a coefficient of 1.


ln 3 - 2 ln 8 + ln 16


ln 3 - 2 ln(6 + 9)


ln 3 - 2(ln 4 + ln 8)


A seismograph 300 km from the epicenter of an earthquake recorded a maximum amplitude of

5.2 102µm. Find this earthquake's magnitude. (Round your answer to one decimal place.)


Find the future value, using the future value formula and a calculator. (Round your answer to the nearest cent.)

$735 at 5.5% compounded quarterly for 4 years



Suppose that an insurance agent offers you a policy that will provide you with a yearly income of $80,000 in 30 years. What is the comparable salary today, assuming an inflation rate of 4% compounded annually? (Round your answer to the nearest cent.)


Convert the credit card rate to the APR.

Oregon, 1 and ¾ % per month



Assume the car can be purchased for 0% down for 60 months (in lieu of rebate).

A car with a sticker price of $42,950 with factory and dealer rebates of $5,100

(a) Find the monthly payment if financed for 60 months at 0% APR. (Round your answer to the nearest cent.)

(b) Find the monthly payment if financed at 2.5% add-on interest for 60 months. (Round your answer to the nearest cent.)

(c) Use the APR approximation formula to find the APR for part (b). (Round your answer to one decimal place.)

(d) State whether the 0% APR or the 2.5% add-on rate should be preferred.

0% APR or 2.5% add-on rate


Find the monthly payment for the loan. (Round your answer to the nearest cent.)

$700 loan for 12 months at 12%


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