This is the concept of financial mathematics, the simple interest rate is given by:
S.I.=(PRT)/100
where:
P=principle=$2500
R=rate=5.5%
T=time=1 year
Hence;
S.I.=(5.5*2500.1)/100
=$137.5
Thus the total amount he had after 1 year will be:
2500+137.5
=$2,637.5
Use slope formula:
m = (y2-y1) / (x2-x1)
-1/4 = 6-2 / 1/2 - x
-1/4 = 4 / 1/2 - x
-1(1/2 - x) = 4(4)
-1/2 + x = 16
x = 16 1/2 or 33/2
Answer
a. The backpack is $4.50
b. The sweatshirt is $2.70
Step-by-step explanation:
a. 30 x 0.15 = 4.50 (The 0.15 is from the price you are actually paying for the item. Because the item is 85% off, you are paying for 15% of the usual price. 15% as a decimal is 0.15 so you multiply that to the original price to find the amount u will pay.)
b. 18 x 0.15 = 2.70
2x^2+8xy+8y^2
2(x^2+4xy+4y^2)