Find the lump sum that must be deposited today to have a future value of $32,000 in 5 years if funds earn 8% compounded annually.

$21,778.7

Step-by-step explanation:

The formula for a compound interest is;

A = p(1 + r/100)ⁿ

Where A ⇒ Amount accumulated over the years

            r ⇒ rate per year

            n ⇒ the number of years

∴ A = p(1 + r/100)ⁿ

  32,000 = p(1 + 8/100)⁵

  32,000 = p × 1.08⁵

p = 32,000/1.08⁵

   = $21,778.66

Answer to the nearest tenth = $21,778.7

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

the number of the people going.

step-by-step explanation:

the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.