Problem-solving A picture frame is designed to take a 6 cm x 8 cm picture.
The border is exactly the same width all round and its area is 32 cm2
How wide is the border?
6
Help me

A=(6+2x)(8+2x)-6*8=6*8+12x+16x+4x^2-6*8=32

    28x+4x^2=32

     :4

    7x+x^2=8

    x^2+7x-8=0

    x^2-x+8x-8=0

   x(x-1)+8(x-1)=0

   (x-1)(x+8)=0

   x-1=0,x=1

   or x+8=0,x=-8

   but x should be positive

   so x=1 is the solution

Step-by-step explanation:

9514 1404 393

  no

Step-by-step explanation:

The first step is to understand that the question is asking about the future value of series of payments. An appropriate formula is ...

  P = A(n/r)((1 +r/n)^(nt) -1)

where P is the future value, A is the periodic payment made n times per year for t years. r is the annual interest rate.

The next step is to substitute the given values and do the arithmetic. Using the given values, we have ...

  P = 250(12/0.056)((1 +0.056/12)^(12×2.5) -1) ≈ 8030.32

Shen will have accumulated about $8,030.32, which is not enough to meet his goal.