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worty [1.4K]
3 years ago
13

You purchase a $220 airline ticket. you have a discount code to recieve 10% off. There is 10.5% service charge added to the tota

l. How much do you pay for your ticket?
Mathematics
1 answer:
gayaneshka [121]3 years ago
6 0
You will pay 221.1 dollars
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You want to walk from home to a clothing store that is 3/4 miles away. You stop for a rest after 1/2 miles. How much farther do
dmitriy555 [2]

Answer:

1/4 miles.

Step-by-step explanation:

If I want to walk from my house to a clothing store 3/4 of a mile away, this implies that the location is 0.75 miles from my home.

Now, if after walking 1/2 mile I decide to stop, I will have traveled 0.5 miles in total. In this way, when I get back on my way, I will have to travel 0.25 miles to reach my destination (0.75 - 0.50).

Therefore, since 1 divided by 4 equals 0.25, I have to walk 1/4 mile to reach my destination.

5 0
3 years ago
Let B be the basis of P3 consisting of the Hermite polynomials in Exercise 21, and let p.t / D 7 ! 12t ! 8t 2 C 12t 3. Find the
Anastasy [175]

To calculate the relative vector of B we have to:

P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right]

The coordenates of:

p(t)= 12t^3-8t^2-12t+7, with respect to B satisfy:

C_1(1)+C_2(2t)+C_3(-2+4t^2)+C_4(-12t+8t^3)= 7-12t-8t^2+12t^3

Equating coefficients of like powers of t produces the system of equation:

\left \{ {C_1-2C_3=7} \atop {2C_2-12C_4=-12} \right. \\\left \{ {{4C_3=-8} \atop {8C_4=12}} \right.

After solving this system, we have to:

C_1=3\\C_2= 3\\C_3= -2\\C_4= \frac{3}{2}

And the result is:

P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right]

Learn more: brainly.com/question/16850761

4 0
3 years ago
For what values of x does the binomial 2x−1 take on a positive value?
Mashutka [201]
1). 2x-1>0
2x>1
x>½

2) 21-3y<0
-3y<-21
y>7

3) 5-3c>80
-3c>75
c<-25
3 0
3 years ago
Are 0.6600 and 0.66 equivalent decimals?<br> yes<br> no
malfutka [58]

Answer:

Yes.

Step-by-step explanation:

0.66 is 0.6600.

7 0
2 years ago
Read 2 more answers
There are many square prisms with volume 125 in. Let w represent the side length of the square base and h represent the height i
iogann1982 [59]

Answer:

5in by 5in by 5in

Step-by-step explanation:

We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.

Given

Volume = 125in³

Formula

V = w²h ..... 1

S = 2w²+4wh ..... 2

w is the side length of the square base

h is the height of the prism

125 = w²h

h = 125/w² ..... 3

Substitute eqn 3 into 2 as shown

S = 2w²+4wh

S = 2w²+4w(125/w²)

S = 2w²+500/w

To minimize the surface area, dS/dw = 0

dS/dw =4w-500/w²

0= 4w-500/w²

Multiply through by w²

0 = 4w³-500

-4w³ = -500

w³ = 500/4

w³ =125

w = cuberoot(125)

w = 5in

Get the height

125 =w²h

125 = 25h

h = 125/25

h = 5in

Hence the dimension of the prism is 5in by 5in by 5in

5 0
3 years ago
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