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3 years ago

What was the final price of the wind chime?

Mathematics

1 answer:

svet-max [94.6K]3 years ago

6 0

Answer:

$29.93

Step-by-step explanation:

First, we take the discount off of the original price.

We need to find the discount amount in dollars.

30/100=.3 this is 1%.

.3 * 5 = 1.5 He will get $1.50 off of his purchase.

30 - 1.5 = 28.5.

Next we will add tax. We need to find tax in dollars.

28.5/100=.285 this is 1%

.285 * 5 = 1.43 He will get $1.43 of tax on his purchase.

28.5 + 1.43 = 29.93

He will pay $29.93 for his wind chime.

You might be interested in

Does anybody know this what the answer to this question is please?

Svetlanka [38]

Answer:

The answer is option 3.

i hope it helped u.

6 0

3 years ago

An athlete runs an equal distance 2 days a week. The other 5 days of the week, he runs a total of 11 miles. Write an equation

katovenus [111]

Ok since the athlete an equal distance of 2 days a week and he runs a total of 11 miles in 5 days you will need to think back so before he had 11 miles done next weak he had a total of 19 miles so you will start at 11 then count up to 19.

Use a number line to show how many days it took for the athlete to get 19 miles.

Then once you do the number line count the lumps and that’s how many days it took for the athlete to get 19 miles.

Hope this helped.

3 0

2 years ago

The tallest tree in the world is reputed to be a giant redwood named Hyperion located in Redwood National Park in California, US

dlinn [17]

Answer:

114.02 meters

Step-by-step explanation:

The information you're given about the tree will form a triangle, with the three corners being the top of the tree, the point where the tree meets the ground, and the specified point 41.5 meters from the tree. The angle of elevation (70°) is the angle made where the line representing the ground and the line connecting the top of the tree to the ground at the specified point connect.

The angle where the tree meets the ground is 90°, so the triangle a right triangle.

So this all means you know one angle of a right triangle (70°) and the side adjacent to this angle (41.5 meters). You're solving for the height of the tree, which is the side opposite of the angle you know. You can solve using either Sine, Cosine, or Tangent.

Use the acronym SOHCAHTOA to figure out which of those three functions to use. Feel free to look this up for more information if you haven't heard of it before. In this case, we're using Tangent (TOA = Tangent, Opposite side, Adjacent side)

To solve using any of those three functions, you'll need a scientific calculator. On your calculator, you'll see the buttons SIN, COS, andTAN. For this problem, press TAN and you'll see something appear that says tan (___). You'll need to input a number to get your answer, and here's how to find that number:

Again referencing SOHCAHTOA, the "TOA" part lists Opposite first and then Adjacent. This is because you're going to write a fraction with those two numbers, and since Opposite is first, it's the numerator. That means that Adjacent is the denominator. We don't know the value of the opposite side, so it'll be represented by x, and we do know the value of the adjacent side, 41.5. This means the fraction is $\frac{x}{41.5}$ .

This isn't the number to input into the calculator -- you need to isolate the variable:

The original equation is:

tan 70 = x/41.5

Multiply both sides by 41.5 (To cancel out the denominator and isolate x)

tan 70 (41.5) = x

Now you've got the equation for x, you're ready to put this in your calculator.

What appeared on your calculator was:

tan(__)

Input like follows:

(tan(70))41.5

The brackets are needed like that so the calculator knows to multiply the entire thing by 41.5. You might get a wrong answer otherwise.

Hit enter, and you'l get the height of the tree:

114.02 meters

5 0

3 years ago

Dina invests $600 for 5 years at a rate of 2% per year compound interest.

kenny6666 [7]

Answer:

The investment after 5 years is $ 662.45.

Step-by-step explanation:

Principal, P = $ 600

Time, t = 5 years

Rate of interest, R = 2 %

Time , t = 5 years

The amount after the time 5 years is

$A = P \times \left ( 1+\frac{R}{100} \right )^t\\\\A = 600\left ( 1+0.02 \right )^5\\\\A = 662.45$

So, the investment after 5 years is $ 662.45.

4 0

2 years ago

The variable overhead rate variance can be defined as which of the following? A. Standard rate x (Actual hours - Standard hou

Katena32 [7]

Answer:

Step-by-step explanation:

In costing analysis, direct materials, labour and direct expenses aggregate to prime cost. Alternately, the aggregate of indirect materials, labour and expenses is termed as overhead. Overheads are classified into fixed and variable.

Variable overhead is one which varies directly as per number of units produced

Variable overhead rate variance = actual costs -(AHxSR)

= Actual costs - (Actual hours x std rate)

= Actual hours x actual rate - actual hours x std rate

Hence option D is right.

5 0

3 years ago