Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w
No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12
Now our problem says that the two area will be equal to each other, which sets up the following equation:
w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
Answer:
$55
Step-by-step explanation:
its $150 - $40 = $110
$110 / 2 = $55
Answer:
6%.
Step-by-step explanation:
We have been given that Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156.
To find the interest rate we will use simple interest formula.
I= Interest.
P= Principal amount.
r=Annual interest rate (in decimal form).
T= Time in years.
We have been given that I=156, T=5, P=520
Upon substituting our values in above formula we will get,
Let us multiply 0.06 by 100 to convert annual interest rate in percentage.
Therefore, the annual interest rate was 6%.
