All categories

3 years ago

A company charges a shipping fee that is 4% of the purchase price for all items

Mathematics

1 answer:

Readme [11.4K]3 years ago

7 0

4 percent of 66
0.04 = 4 percent
66 * 0.04 = 2.64
The shipping fee is $2.64

You might be interested in

When the sun is at 31 above the horizon, a tree casts a 42 ft. shadow. how tall is the tree?

Fantom [35]

Answer: 25.2361459992ft

This question can be solved by a trigonometric equation. Shadow formed when something with height like a tree, so it can be pictured as a vertical line. Shadow is a length of and can be pictured as a horizontal line.
In trigonometric, to find the vertical line length with horizontal line you need tan function. The sun angle will be used in the function, so the calculation would be: tan(31) x 42ft = 25.2361459992ft

5 0

3 years ago

The parabola with equation $y=ax^2+bx+c$ is graphed below:

Mashutka [201]

Answer:

$m-n=2$

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

$f(x)=a(x-h)^2+k$

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

$f(x)=a(x-2)^2-4$

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

$12=a((4)-2)^2-4$

Solve for a. Subtract within the parentheses:

$12=a(2)^2-4$

Add 4 to both sides:

$16=a(2)^2$

Square:

$16=4a$

Solve:

$a=4$

Thererfore, the value of a is 4.

So, our function is:

$f(x)=4(x-2)^2-4$

Now, let’s find our roots. Set the equation to 0 and solve for x:

$0=4(x-2)^2-4$

$4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1$

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

4 0

2 years ago

Read 2 more answers

Nate borrowed $62,000 at 9.4% interest per year if he owed a total of $910.90 in when he repaid the loan how many days do they k

OverLord2011 [107]

The formula for simple annual interest is:

I = Prt

where,

I = Interest accumulated = $910.90
P = Principal Amount = $62000
r = Interest rate = 9.4% = 0.094
t = time in years

Using the values in above equation, we get:

910.90 = 62000 x 0.094 x t

⇒ t = 910.90/(62000 x 0.094) = 0.156

This is the time in years. Since there are 365 days in a year, the time in days will be:

t = 0.156 x 365 = 57 (rounded to nearest day)

This means, Nate kept the borrowed money for 57 days

6 0

3 years ago

The average number of Saturday night shootings is 5 a night. What’s the chance that there will be a need for exactly 3 shootings

pishuonlain [190]

Answer:

0.14

Step-by-step explanation:

Using the poisson probability relation :

P(x = x) = (λ^x * e^-λ) ÷ x!

From the question ; mean, λ = 5 ; x = 3

Hence,

P(x = 3) = (5^3 * e^-5) ÷ 3!

P(x = 3) = (125 * 0.0067379) / 6

P(x = 3) = 0.8422375 / 6

P(x = 3) = 0.140

5 0

2 years ago

Pedro bought lb of red sand and lb of brown sand to refill his sand box. Both types of sand cost $4.60 a pound. How much did Ped

Doss [256]

If we know that Pedro bought 1 $\frac{1}{4}$ pounds of red sand, and 5 $\frac{1}{2}$ pounds of brown sand, and they both cost $4.60, then we just have to add the individual amounts of sand, since they cost the same.

$1 \frac{1}{4} + 5 \frac{1}{2} = 6 \frac{3}{4}$

So Pedro bought $6 \frac{3}{4}$ lbs of sand overall. Now, we just need to multiply the cost per pound by the total amount of sand he bought.

$6 \frac{3}{4} * 4.6 = 31.05$

Pedro spent $31.05 on sand, which is answer choice B.
Hope that helped =)

4 0

3 years ago

Read 2 more answers