For continuously compounded interest:
Amount = Principle * e^(rate * time)
A rate of 8% converted to a decimal value: r=0.08
With time t=4
and amount 1190
Plug all these values in,
1190 = Principle * e^(0.08 * 4)
And use your calculator to solve for the principle.
Maybe we'll call it P to make things easier.
1190 = P * e^(0.08 * 4)
1190 = P * 1.377
The principle is being multiplied by this 1.377,
divide by 1.377 to undo the multiplication.
864.11735 = P
Answer:
![9\text{ inch, }14\text{ inch, }2\text{ inch}](https://tex.z-dn.net/?f=9%5Ctext%7B%20inch%2C%20%7D14%5Ctext%7B%20inch%2C%20%7D2%5Ctext%7B%20inch%7D)
Step-by-step explanation:
GIVEN: A box with no top is to be constructed from a piece of cardboard whose length measures
more than its width. The box is to be formed by cutting squares that measure
on each side from the four corners and then folding up the sides.
TO FIND: If the volume of the box will be
, what are the dimensions of the piece of cardboard.
SOLUTION:
Let the width of cardboard be ![x](https://tex.z-dn.net/?f=x)
length of cardboard ![=x+5\text{ inch}](https://tex.z-dn.net/?f=%3Dx%2B5%5Ctext%7B%20inch%7D)
As box is formed by cutting
squares from corners of cardboard
length of cardboard ![=x+5-4=x+1\text{ inch}](https://tex.z-dn.net/?f=%3Dx%2B5-4%3Dx%2B1%5Ctext%7B%20inch%7D)
width of cardboard ![=x-4\text{ inch}](https://tex.z-dn.net/?f=%3Dx-4%5Ctext%7B%20inch%7D)
height of cardboard ![=2\text{ inch}](https://tex.z-dn.net/?f=%3D2%5Ctext%7B%20inch%7D)
volume of cardboard ![=\text{length}\times\text{width}\times\text{height}](https://tex.z-dn.net/?f=%3D%5Ctext%7Blength%7D%5Ctimes%5Ctext%7Bwidth%7D%5Ctimes%5Ctext%7Bheight%7D)
![=2(x+1)(x-4)](https://tex.z-dn.net/?f=%3D2%28x%2B1%29%28x-4%29)
![x^2-3x-54=0](https://tex.z-dn.net/?f=x%5E2-3x-54%3D0)
solving we get
![x=9,-6](https://tex.z-dn.net/?f=x%3D9%2C-6)
width of cardboard ![=9\text{ inch}](https://tex.z-dn.net/?f=%3D9%5Ctext%7B%20inch%7D)
length of cardboard ![=x+5=14\text{ inch}](https://tex.z-dn.net/?f=%3Dx%2B5%3D14%5Ctext%7B%20inch%7D)
height of cardboard ![=2\text{ inch}](https://tex.z-dn.net/?f=%3D2%5Ctext%7B%20inch%7D)
So
Total cost of the workbooks is d
And the number of workbooks is t
Therefore d = 95
95=19t
t=95/19=5
5 workbooks
Answer:
only five points uneceptableeeeee