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3 years ago

The price of an airline ticket was $320 amd it is now 420$ what is the percent increase the price of the ticket

Mathematics

1 answer:

enyata [817]3 years ago

3 0

Answer:

31.25 percent increase

Step-by-step explanation:

To find the percent increase, we take

percent increase = (new - original)/new * 100 percent

= (420-320)/320 * 100 percent

100/320 * 100 percent

.3125 * 100 percent

31.25 percent increase

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Calculus Problem

Roman55 [17]

The two parabolas intersect for

$8-x^2 = x^2 \implies 2x^2 = 8 \implies x^2 = 4 \implies x=\pm2$

and so the base of each solid is the set

$B = \left\{(x,y) \,:\, -2\le x\le2 \text{ and } x^2 \le y \le 8-x^2\right\}$

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas, $|x^2-(8-x^2)| = 2|x^2-4|$ . But since -2 ≤ x ≤ 2, this reduces to $2(x^2-4)$ .

a. Square cross sections will contribute a volume of

$\left(2(x^2-4)\right)^2 \, \Delta x = 4(x^2-4)^2 \, \Delta x$

where ∆x is the thickness of the section. Then the volume would be

$\displaystyle \int_{-2}^2 4(x^2-4)^2 \, dx = 8 \int_0^2 (x^2-4)^2 \, dx \\\\ = 8 \int_0^2 (x^4-8x^2+16) \, dx \\\\ = 8 \left(\frac{2^5}5 - \frac{8\times2^3}3 + 16\times2\right) = \boxed{\frac{2048}{15}}$

where we take advantage of symmetry in the first line.

b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

$\dfrac\pi8 \left(2(x^2-4)\right)^2 \, \Delta x = \dfrac\pi2 (x^2-4)^2 \, \Delta x$

We end up with the same integral as before except for the leading constant:

$\displaystyle \int_{-2}^2 \frac\pi2 (x^2-4)^2 \, dx = \pi \int_0^2 (x^2-4)^2 \, dx$

Using the result of part (a), the volume is

$\displaystyle \frac\pi8 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{256\pi}{15}}}$

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

$\dfrac{\sqrt3}4 \left(2(x^2-4)\right)^2 \, \Delta x = \sqrt3 (x^2-4)^2 \, \Delta x$

and using the result of part (a) again, the volume is

$\displaystyle \int_{-2}^2 \sqrt 3(x^2-4)^2 \, dx = \frac{\sqrt3}4 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{512}{5\sqrt3}}$

7 0

2 years ago

Match the fraction with its equivalent decimal form of the number.

bagirrra123 [75]

Answer:

see below

Step-by-step explanation:

The overbar on decimal digits means they repeat forever.

Any fraction with a denominator consisting of powers of 2 and/or 5 will terminate. These can be converted to decimal by multiplying the fraction by a number to make the denominator an appropriate power of ten.

1 2/3 = 1.66666666666... repeating

1 3/5 = 1 (3·2)/(5·2) = 1 6/10 = 1.6

1 1/4 = 1 (1·25)/(4·25) = 1 25/100 = 1.25

1 33/50 = 1 (33·2)/(50·2) = 1 66/100 = 1.66

Of course, your calculator can tell you the decimal equivalents, too.

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2 years ago

Площа паралелограма дорівнює 98 см“, а одна з його ви-

netineya [11]

Sorry I don’t know the answer and the question to

5 0

2 years ago

Help - algebra 1!!!!!!!!!!!

dimaraw [331]

Answer:

7.4*10^-5, 7300000

Step-by-step explanation:

1 There are 4 zeros in 1

round up .0000742 to .000074

There are 5 places between 7 and the last zero, negative because it is a decimal.

2 7.3*10^6= 73 is first, 6 places after 7 so 5 zeros (6 is in a place)

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3 years ago

A hippopotamus is 100 pounds of food a day how many days would it take a hippo to the 1 ton of food

alina1380 [7]

Answer:

20 days

Step-by-step explanation:

1 ton=2000ibs 2000/100=20

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3 years ago