The apr of kylee's savings account is 5.6%, and interest is compounded quarterly. if the principal in kylee's savings account was $5800 for an entire year, what will be the balance of her account after all the interest is paid for the year? show your work.

The balance of Kylee's account after all the interest is paid for the year is $6131.76.

Step-by-step explanation:

Formula for compounded quarterly

Where P is the principle , r is the rate of interest in the decimal form and t is the time in years.

As given

The APR of Kylee's savings account is 5.6%, and interest is compounded quarterly. If the principal in Kylee's savings account was $5800 for an entire year.

Here

P = $5800

5.6 % is written in the decimal form.

= 0.056

r = 0.056

t = 1 year

put in the formula

Amount = $6131.76

Therefore the balance of Kylee's account after all the interest is paid for the year is $6131.76.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this