A store is instructed by corporate headquarters to put a markup of 25% on all items. An item costing $24 is displayed by the s
2 answers:
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Answer: The exact length of segment HC is sqrt(3) units
The approximate length is roughly 1.73205080756888 (round that however you need to)
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Work Shown:
Let x = length of HC
Since AH = 3*HC, this means AH = 3*x
Draw out the picture. This step is optional but helpful in my opinion. The drawing is attached below.
After adding in the altitude BH, we have three similar triangles. So we can form the proportion shown below to solve for x
HC/BH = BH/AH
HC/3 = 3/AH ... replace BH with 3
x/3 = 3/AH ... replace HC with x
x/3 = 3/(3x) ... replace AH with 3x
x/3 = 1/x ... reduce
x*x = 3*1 ... cross multiply
x^2 = 3
x = sqrt(3) ... which is shorthand for "square root"
HC = sqrt(3)
HC = 1.73205080756888 which is approximate
We have been given that a customer charges a treadmill at Annie's Sport Shop. The price is $4,000 and the financing charge is 6% per annum if the bill is not paid in 30 days. We asked to find the amount of finance charges.
We will use simple interest formula to solve our given problem.
, where
I = Amount of interest,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
Since our time if given in days, so we need to convert 30 days into year.
1 year = 365 days,
30 days = year
Upon substituting our given values in simple interest formula, we will get:
Upon rounding to nearest whole number, we will get:
Therefore, the amount of finance charge will be $20 and option 'b' is the correct choice.