The area of a bulletin board is 52 square feet. the length is 3 feet less than4 times the width. find the length and width

The length of the bulletin board is

The width of the bulletin board is

Step-by-step explanation:

Let

x-----> the length of the bulletin board

y-----> the width of the bulletin board

we know that

The area of the rectangle (bulletin board) is equal to

we have

so

------> equation A

------> equation B

substitute equation B in equation A and solve for y

Using a graphing calculator------> solve the quadratic equation

The solution is

see the attached figure

Find the value of x

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.