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3 years ago

A craft store retailer uses a markup rate of 65%. A scrapbook kit costs the retailer $20.

Mathematics

2 answers:

MatroZZZ [7]3 years ago

8 0

The correct answer is B. $33

valkas [14]3 years ago

6 0

Okay. The store bought the scrapbook kit at 20$ and then sold it 65% more than what they bought it. To find the new selling price, all you have to do is multiply 20 by 165% (1.65). This is because you add 100% to the markup to get to the total price and adding 100% to a markup or tax could bring you to the total price easily. 20 * 165% (1.65) is 33. There. The selling price of the scrapbook kit is $33. The answer is B: $33.

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After it is purchased, the value of a new car decreases $4000 each year. after 3 years, the car is worth $18,000.

Mashcka [7]

After x years the value (V) is:

Original - 4000x 

so, after 3 years we have: 

Original - 12000 = 18000 

b: Original = $30,000

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3 years ago

How long is a guy wire reaching from the top of a 6ft. Pole to a point on the ground 4ft. From the pole

dlinn [17]

Answer:

the guy wire is 7.211 ft long

Step-by-step explanation:

Notice that we are in the presence of a right angle triangle formed by: the height (the standing 6 ft pole), the base (the distance from the pole to the anchoring point on the ground), and the actual guy wire. See attached image for reference.

Notice that since pole and ground are perpendicular to each other (at 90 degrees) , the guy wire forms what is called the "hypotenuse" (longest side) of the right angle triangle. We can therefore use the Pythagorean Theorem to solve this problem with the formula for the hypotenuse:

$Hypotenuse=\sqrt{side1^2 +side2^2} \\Hypotenuse= \sqrt{6^2+4^2}\\Hypotenuse=\sqrt{36+16} \\Hypotenuse=\sqrt{52} \\Hypotenuse=7.2111\, ft$

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3 years ago

A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is

GaryK [48]

Answer:

Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.

Step-by-step explanation:

Using x for trail mix and y for jelly beans, we have a system of equations being

$\left \{ {{5x+3y=17} \atop {2x+12y=23}} \right.$

We can solve this system using substitution

5x+3y=17

Divide by 5 to have a coefficient of 1 before x

$x+\frac{3}{5} y=\frac{17}{5}$

Subtract $\frac{3}{5} y$ from each side to single out one variable to one side

$x=\frac{17}{5} -\frac{3}{5} y$

Now, we can plug in our value for x into the given equation

$2(\frac{17}{5} -\frac{3}{5} y)+12y=23$

Open the parentheses

$\frac{34}{5} -1\frac{1}{5} y+12y=23$

Merge Y values

$6.8+10.8y=23$

Separate numerical values from variables

$10.8y=16.2$

Divide by 10.8 in order to have a coefficient of 1

$y=1.5$

Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.

$5x+3(1.5)=17$