Austin is going to invest in an account paying an interest rate of 2.2% compounded daily. How much would Austin need to invest, to the nearest hundred dollars, for the value of the account to reach $27,000 in 6 years?

  $23,700

Step-by-step explanation:

The compound interest formula can be helpful for this. Fill in the given values and solve for the unknown.

  FV = P(1 +r/n)^(nt)

where r is the annual interest rate, n is the number of times interest is compounded in a year, t is the number of years, P is the amount invested, and  FV is the future value of that investment.

  $27,000 = P(1 +0.022/365)^(365·6) = 1.1411037P

  P ≈ $23,700

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet