Establish the identity.ln = ln

What will be an ideal response?


ln =  ln  =  ln  = ln

Mathematics

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Solve the problem. Use an annual percentage rate table if necessary.Joan used a fixed installment loan from her bank to finance her home renovation project. She borrowed $11,000 and has a 60 monthly payments of $212.67 each. Instead of making her 36th payment, Joan decides to pay the remaining balance on the loan. How much interest will Joan save (use the actuarial method)?

A. $305.65 B. $292.92 C. $309.34 D. $325.12

Mathematics

Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse.f(x) = 

A. f(x): D is all real numbers, R is all real numbers;

f-1(x): D is all real numbers, R is all real numbers
B. f(x): D = , R = ;
f-1(x): D = , R = 
C. f(x): D = , R = ;
f-1(x): D = , R = 
D. f(x): D = , R = ;
f-1(x): D = , R = 

Mathematics

Solve the problem.When a radioactive substance decays, the number N of grams remaining from an initial mass N0 (in grams) is given by  where n is the number of half-lives for which the substance has decayed. Given that the half-life for tritium is 14 years, find the rate in (grams/half-life) at which a 102-gram initial mass of radioactive tritium decays after 44.8 years.

A. -70.7 g/half-life B. -11.1 g/half-life C. -7.69 g/half-life D. -3.38 g/half-life

Mathematics

Write as a percent. Round your answer to the nearest tenth, if necessary.

A. 0.3% B. 300% C. 30% D. 3%

Mathematics