In 2010 an item cost $9.00. The price increase by 1.5% each year.

shutvik [7]

you would first have to multiply 20% by 3.24 and then youll get 0.648 then you subtract 3.24 by 0.648 and get 2.60. Then multiply 20% by 3.99 and get 0.798 then subtract 3.99 by 0.798 and get 3.19 then add 2.60 with 3.19 to get 5.79. 5.79 is how much she spent with 20% off

3 0

2 years ago

An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corne

lawyer [7]

Answer:

The dimensions of the resulting box that has the largest volume is 1.3 inches x 1.3 inches

Step-by-step explanation:

Card board size is L= 14 inches and

W = 6 inches

Let x be the size of equal squares cut from 4 corners and bent into a box whose size is now;

L = 14 − 2x , W = 6 −2x and h = x inches.

Volume of the box is given as;

V = (14 −2x)(6−2x)x

V =(4x² − 40x + 84)x

= 4x³ − 40x² + 84x.

Now, for the maximum value,

dV/dx =0

Thus,

dv/dx = 12x² - 80x + 84 = 0

Using quadratic formula

x = [-(-80) ± √(-80²) - 4(12 x 84)]/(2 x 12)

x = [80 ± √(6400 - 4032)]/24

x = (80 + 48.66)/24 or (80-48.66)/24

x = 5.36 or 1.31

Looking at the two values, 1.31 would be more appropriate because if we use 5.36,we will get a negative value of the width (W).

Thus, x = 1.31 inches

Let us use the Second Derivative Test to verify that V has a local maximum at x = 1.31.

Thus;

d²v/dx² = 24x - 80 = 24(1.31) - 80 = -48.56

This is less than 0 and therefore, the volume of the box is maximized when a 1.31 inch by 1.3 inch square is cut from the corners of the cardboard sheet.

3 0

3 years ago

I WILL GIVE BRAINLIEST TO WHO EVER TELLS ME THIS ANSWER ASAP

blondinia [14]

it is not because prime factorization is a number broken down by its prime factors

4 x 3 x 20 x 8 x 22 = 42240

the correct prime factorization of 42240 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11

can i have brainliest

4 0

2 years ago

Find x.______________a0

velikii [3]

Answer:

$x=4$

Step-by-step explanation:

Before we find x, we need to set up this triangle a little more. We need to find the triangle's altitude before we can solve for x. We will use the heartbeat method to find the altitude.

Let altitude = y; solve for y:

$\frac{2}{y}=\frac{y}{6}$