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inna [77]
3 years ago
9

Heidi Muir, a sporting goods wholesaler, purchased goods from a supplier for $3,400. The

Mathematics
1 answer:
Lena [83]3 years ago
7 0

Answer:

56.44%

Step-by-step explanation:

From the question, we have the following values

% Discount = 3%

Full allowed payment days = 30 days

Discount days = 10 days

1 year = 365 days

The formula for Effective Annual rate or Annual rate in effect =

Discount %/(1-Discount %) x (365 days/(Full allowed payment days - Discount days))

= 3%/(1 - 3%) × (365 days/30 days - 10 days)

= 0.03/(1 - 0.03) × (365/20)

= 0.03/0.97 × (365/20)

= 0.5644329897

Converting to percentage

0.5644329897 × 100

= 56.44329897%

Approximately = 56.44%

Therefore, the annual rate Heidi, in effect, is paying the supplier if she fails to pay the invoice at the end of the discount period is 56.44%

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pet store has 18 hamsters in each cage. how many hamsters are there in six cages? use and area model to solve
pogonyaev
108 because theres 18 in in one and your finding out how much in 6 so 18*6=108
3 0
3 years ago
I’m confused on this one
Ghella [55]

In a parallelogram, the opposite angles will be congruent to each other.


In this parallelogram, angles B and C are congruent, and angles A and D are congruent.


We will work on angles B and C first. Set the two angles to equal each other:


12x + 6 = 6x + 66


Subtract 6 from both sides:


12x = 6x + 60


Subtract 6x from both sides:


6x = 60


Divide both sides by 6 to get x by itself:


\boxed{x = 10}


x will equal 10.


Set angles A and D to equal each other:


54 = 3y


Divide both sides by 3 to get y by itself:


\boxed{y = 18}


y will equal 18.


The x and y values that make this quadrilateral a parallelogram will be x = 10, and y = 18.

3 0
3 years ago
The 20 tallest buildings in the world have an average height of 1,667.25 feet, with a standard deviation of 318.31 feet. The Zif
valentina_108 [34]

Answer:

Marina, Wuhan center, Zifeng Tower , Shangai Tower

Step-by-step explanation:

Using the z-scores of the Shangai tower and the Marina, we can calculate their heights

Mathematically, the z-score or standard score can be calculated as follows

Zscore =  X - μ/σ

where σ and μ represents the standard deviation and the population mean respectively.

For Shaghai Tower ;

1.27 = (X - 1667.25)/318.31

318.31 × 1.27 = X - 1667.25

404.25 = X - 1667.25

X = 1667.25 + 404.25 = 2071.50

The height of the Shaghai Tower is 2071.50 feet

For Marina, we use the same procedure;

-0.84 = (X - 1667.25)/318.31

318.31 × -0.84 = X - 1667.25

-267.38 = X - 1667.25

X = 1667.25 - 267.38 = 1399.87

The height of Marina building is 1399.87

Listing the buildings' height in ascending order we have; Marina, Wuhan center, Zifeng Tower , Shangai Tower

The reasoning behind this can be mathematically explained in terms of the z-score. The standard score of the heights of the building give us an insight as to how tall the buildings can be.

Since they are in the same population i.e building heights, the higher the z-score, the higher the height of the building. A positive z-score indicates a height taller than the average while a negative z-score indicate a height lower than the average height which is the mean

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3 years ago
A triangle has angle measures 23degrees and 35 degrees. what is the measure of the third triangle
Tju [1.3M]
The answer is 122 for the final angle
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What is 12.1 repeating as a fraction in simplest form?
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The answer is two, one over nine⬇️
2\ \frac{1}{9}
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