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Ostrovityanka [42]

2 years ago

9

greg wants to buy a video game.the game is 50% off and the original price is $40.00how much will greg have to pay for this video

game

1 answer:

zheka24 [161]2 years ago

7 0

Answer:

its 4.00%

Step-by-step explanation:

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Find the approximate area between the curve f(x) = -4x² + 32x and on the x-axis on the interval [0,8] using 4 rectangles. Use th

Doss [256]

Split up the interval [0, 8] into 4 equally spaced subintervals:

[0, 2], [2, 4], [4, 6], [6, 8]

Take the right endpoints, which form the arithmetic sequence

$r_i=2+\dfrac{8-0}4(i-1)=2i$

where 1 ≤ <em>i</em> ≤ 4.

Find the values of the function at these endpoints:

$f(r_i)=-4{r_i}^2+32r_i=-16i^2+64i$

The area is given approximately by the Riemann sum,

$\displaystyle\int_0^8f(x)\,\mathrm dx\approx\sum_{i=1}^4f(r_i)\Delta x_i$

where $\Delta x_i=\frac{8-0}4=2$ ; so the area is approximately

$\displaystyle2\sum_{i=1}^4(-16i^2+64i)=-32\sum_{i=1}^4i^2+128\sum_{i=1}^4i=-32\cdot\frac{4\cdot5\cdot9}6+128\cdot\frac{4\cdot5}2=\boxed{320}$

where we use the formulas,

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

6 0

2 years ago

How many 12-digit decimal sequences are there that start and end with a sequence of at least two 3s?

stiks02 [169]

Four positions of such a sequence are given to be 3s, and we have 10 choices for the remaining eight positions. So the number of such sequences is

$1^4\cdot10^8=10^8=100,000,000$

or 100 million.

6 0

2 years ago

PLEASE HELP WILL MARK YOU BRAINLIEST !!!!! D; I SWEARR

Setler79 [48]

Whattttttt!!!!!!!!!!!!!!!!!

7 0

2 years ago

Suppose you need to minimize the cost of fencing in a rectangular region with a total area of 450 square feet. The material that

natta225 [31]

Answer:

The problem is stated as:

Min C = 15*(2*x +y) + 21*y

subject to x*y = 450

Step-by-step explanation:

Given that the region is rectangular, it has two opposite sides called x and two other opposite sides called y (both measured in feet). Then, the area (in square feet) is:

A = x*y = 450

One of the sides called y costs $21 per linear foot. The other 3 sides (two x and one y) costs $15 per linear foot. Then, the cost function is:

C = 15*(2*x +y) + 21*y

5 0

2 years ago

Much help needed thank you

suter [353]

Answer:

14.29

Step-by-step explanation:

Let p be the price of the cd

we take the price of the cd plus the tax and it must be less than or equal to 15

the tax is the price of the cd times 5 %

p + p*.05 ≤15

Combine like terms

p*1.05 ≤15

Divide each side by 1.05

p ≤15/1.05

p ≤14.28571429

Rounding to the nearest cent

p ≤14.29

The maximum price is 14.29

7 0

2 years ago