Solve.The amount of water used to take a shower is directly proportional to the amount of time that the shower is in use. A shower lasting 24 minutes requires 12 gallons of water. Find the amount of water used in a shower lasting 4 minutes.
A. 3 gallons
B. 72 gallons
C. 2 gallons
D. 8 gallons
Answer: C
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Solve.If an amount of money P is invested at r% annual interest compounded n times per year, then the total value V of the money after t years is given by V = P
nt. Find the value of an ititial investment of $15,000 after four years if (a) it is invested at 1% annual interest compounded yearly.(b) it is invested at 6% annual interest compounded quarterly.(c) it is invested at 2% annual interest compounded monthly.(d) it is invested at 4% annual interest compounded daily (use n = 360).
A. (a) $14,816.92, (b) $18,650.02, (c) $15,733.28, (d) $16,781.88 B. (a) $15,622.98, (b) $19,194.76, (c) $16,396.89, (d) $17,635.72 C. (a) $15,609.06, (b) $19,034.78, (c) $16,248.22, (d) $17,602.51 D. (a) $16,637.,92, (b) $20,588.01, (c) $16,328.46, (d) $17,629.76
For the given function f(x), find f-1(x) and graph the function and its inverse.f(x) = 3x
A. f(x) = 3x, f-1(x)=log3 x
f(x)
B. f(x) = 3x, f-1(x) = log3 x
f(x)
C. f(x) = 3x, f-1(x)= x
f(x)
D. f(x) = 3x, f-1(x) = log3 x
f(x)
Express the graph shown using interval notation. Also express it as an inequality involving x.
A. [6, ?) x ? 6 B. (-?, 6) x < 6 C. (-?, 6] x ? 6 D. (6, ?) x > 6
Evaluate.log1/16
A. -2
B. 4 ? ln2
C. 
D. 2