MATH 104 Algebra Applications

Aug 8th, 2014
FratBro23
Category:
Algebra
Price: $15 USD

Question description

Write the equations in logarithmic form.

(a)

343 = 73



(b)

81 = (1/9 ninth) -2 square



(c)

a = bc

Use the definition of logarithm to simplify each expression.

(a)

log10 10




(b)

log10 100




(c)

log10 10?3

Solve each exponential equation. Give the exact value forx.

(a)

7x = 1/49 (1 over 49)

 


x =



(b)

5x = 8


x =



(c)

4x = 2.5


x =



(d)

2x = 3


x =

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

(a)

log7 49 = x


x =

(b)

log2 16 = x


x =

(c)

log3 81 = x


x =

(d)

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.

(a)

ln 3 - 2 ln 8 + ln 16



(b)

ln 3 - 2 ln(6 + 9)



(c)

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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