simplify write answer in form a+bi, where a and b are real numbers

## Questions by Daniel from Atlanta, GA

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A mummy discovered in Egypt has lost 46% of its carbon-14. Determine its age

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Under ideal conditions, a population of rabbits has an exponential growth rate of 11.7% per day. Consider an initial population of 100 rabbits. (a) Find the exponential growth function (b)...

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Solve log?x+ log(x+4)=log?12

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Solve 40e^0.6x-3=237. Give the solution to the nearest hundredth

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Solve 9^(x+1)=?27?^(x-1)

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. Students in a math class took a final exam and then took equivalent forms of the exam at monthly intervals thereafter. The average score f(t), as a percent, after t months was found to be given...

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. For each substance, find the pH from the given hydronium ion concentration. (a) coffee, 1.26×?10?^(-5) (b) milk, 2.51×?10?^(-7) (c) lutefisk, 5.01×?10?^(-12)

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4. Graph the following functions. (a) f(x)=5^x (b) f(x)=(2/3)^x (c) f(x)=-3^(-x)

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(a) Given 6^3=216, write an equivalent statement in logarithmic form. (b) Given log_2?√8=3/2, write an equivalent statement in exponential form

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Find the present value of $3,000.00 if interest is 6% compounded quarterly for 5 years

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Write log_8??x^2/(yz^2 )? as a sum, difference, or product of logarithms. Simplify the result if possible

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Write log_2?(x-1)+log_2?(x+1)-log_2?(x^2-1) as a single logarithm with a coefficient of 1

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Find the future value and interest earned if $480.00 is invested at 8% compounded (a) quarterly for 3 years. (b) continuously for 3 years.

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Solve ?256?^x=?64?^(2-x)

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Given f(x)=(x+5)^3. (a) Determine whether f(x) is one-to-one. (b) Find a formula for its inverse. (c) Graph f(x) and f^(-1) (x) on the same axis.

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Given f(x)=5x+8. (a) Determine whether f(x) is one-to-one. (b) Find a formula for its inverse. (c) Graph f(x) and f^(-1) (x) on the same axis

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Use the definition of inverses to determine whether f(x)=(5x-3)/(2x+1) and g(x)=(x+3)/(5-2x) are inverses

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Given f(x)=6x^4-7x^3-23x^2+14x+3, approximate each real zero as a decimal to the nearest tenth.

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For a body falling freely from rest (neglecting air resistance), the distance the body falls varies directly as the square of the time. If an object is dropped from a tower 400 ft high and hits the...