Search
Ask a question

Answers by Philip P.

Bear Population (answer)

I believe you meant "at the rate of 4.3% per year." The general formula for exponential growth is:   P(t) = P0·(1+rate)t/p P(t) = population at year t P0 = starting population = 108 rate = growth rate expressed as a decimal = 0.043 t = years = 5 p = period...

Two ways to do it.   First, multiply the RHS out then differentiate using the Sum and Power rules:      g(x) = x2(1-8x)      g(x) = x2 - 8x3      g'(x) = d(x2)/dx - d(8x3)/dx      g'(x) =...

Let x be the unknown number.  Its reciprocal is 1/x.   x + 1/x = 29/10   Multiply both sides by 10x to get rid of the denominators:   10x2 + 10 = 29x 10x2 - 29x + 10 = 0   Solve for x by factoring (it does factor) or by using...

Here's one method.  It's how I add in my head:   9.73 + 21.6 = 9 + 0.73 + 21 + 0.60    (separate the decimals from the whole numbers) = 9 + 21 + 0.73 + 0.60    (group the whole numbers and the decimals) = 30...

y= 3x - 1   It's easy.  Pick any value of x, say x=1, and plug that value into the equation and compute the y value:     y = 3x + 1     y = 3·1 + 1    (plugged in 1 for x)     y = 3 + 1    ...

A(t) = P [1+(r/n)]nt A(t) = value of investment at year t P = initial value of the investment = $940 r = rate as a decimal = 6% = 0.06 n = number of compoundings per year = annual = 1 t = years = 6   Plug in the numbers and use your calculator to get the answer...

I'm guessing you meant (3/2)pi (=3pi/2) and not 3/(2pi).  First, compute the total number of radians that the hoop turns through in one minute (60 seconds):   (3pi/2 radians/sec)(60 sec) = 90pi radians   There are 2pi radians in one full revolution, so the number of...

functions of x (answer)

f(x) = x2 + 1 g(x) = x - 5   f(g(x)) = g(x)2 + 1 = (x-5)2 + 1 Can you finish it from here?   f(g(x)) = x2 - 10x + 26 g(f(x)) = f(x) - 5 = x2 + 1 - 5 = x2 - 4   f(g(x)) = f(g(x)) x2 - 10x + 26 = x2 - 4 Solve for x...