Roderick works for jb spas. he is installing a circular spa that will be enclosed by a square deck. the radius of the spa is 3.25 feet. what is the perimeter of the deck, in feet?

The first thing we must do for this case is to find the diameter of the circle.
 We have then:
 d = 2 * r
 Where,
 r: radius
 Substituting:
 d = 2 * (3.25)
 d = 6.5 feet
 We now look for the perimeter of the square.
 P = 4L
 Where,
 L: square side
 L = d = 6.5 feet ("a circular spa that will be enclosed by a square deck")
 Substituting we have:
 P = 4 * (6.5)
 P = 26 feet
 
 The perimeter of the deck, in feet is:
 P = 26 feet

Nate should invest $ 7463.77

Step-by-step explanation:

We have following formula to find the simple interest,

or we can also write this as

   --------(1)

where P = amount invested

          t= time in years

          r = rate of interest

         SI= simple interest

It is given that

SI= $ 3,090  

t= 15 years

r= 2.76% = 0.0276

Now we plug the values in the formula  (1)

so we have

Hence Nate should invest $ 7463.77