Answer:
y^2/x^6
apply exponent rule:
x^-2/x^4=1/x^4-(-2)=y/y^-1 x^4 -(-2)
then you subtract 4-(-2)=6
y/x^6 y^-1
cancel out the common factor: y^-1 and you get
y^2
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x^6
Answer:
$607.75
Step-by-step explanation:
As a first approximation, compound interest will be slightly higher than simple interest for a relatively short time period. Here simple interest at 5% for 4 years will add 4×5% = 20% to the value, adding about $100 to the initial $500 value. That is, we expect the value in 4 years to be slightly more than $600.
The appropriate answer choice is $607.75.
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The actual amount can be calculated using the multiplier 1.05 for each of the 4 years, or 1.05^4 ≈ 1.21550625 for the entire period. Then the predicted item value is ...
$500 × 1.21550625 = $607.753125 ≈ $607.75
For a, assuming that you will be spraying all sides of the cushions, including the side facing down, you need to figure out the total surface area for the cushion. The formula is 2(lw + wh + hl). l = length, w = width, h = height. Once you do that, then you will need to multiply that number by six because there are six cushions. This number will be in sq. centimeters. Next you need to convert the coverage area of the spray from sq meters to sq centimeters ( m = 1000cm). Now you will take your total surface area of the six cushions and divide it by the number of sq. centimeters that one can of spray covers and that will give you the number of cans needed.
For b, you will take the number of sq centimeters per a can and multiply by 10% (.10), then add that number to the original can amount. Now you will take the total surface area of the six cushions and divide it by the 10% more amount you just calculated to find out how many cans are needed. This answer should be a smaller number than the number of cans calculated for answer a.
The equivalent discount is 10.
