9514 1404 393
Answer:
- 84 small cubes
- 3 1/9 unit cubes
Step-by-step explanation:
A cube that is 1/3 ft on a side will fit 3 in a foot. In terms of the 1/3 ft small cube, the dimensions of the prism are ...
1 1/3 ft = 4 small cubes
1 ft = 3 small cubes
2 1/3 ft = 7 small cubes
Then the volume in terms of small cubes is ...
V = LWH = (4)(3)(7) = 84 small cubes
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There are 3×3×3 = 27 small cubes in a 1-ft unit cube, so the prism volume in terms of unit cubes is ...
84/27 = 3 1/9 . . . unit cubes
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<em>Additional comment</em>
The largest dimension of the prism is just over 2 ft, so the maximum number of unit (1 ft) cubes that will fit is 2. To fill the volume with 3 1/9 unit cubes, those would have to be cut and fit into the space.
Answer:
Step-by-step explanation:
Remark
If this compounds, it means that the interest of the second year has the interest of the first year added to the principle. So if you gain 50 dollars as interest in the first year and the base amount was 1000 dollars, the second year will be taken as 1050 and you will find the interest on that.
Formula
Your formula should be A = P(1 + r)^t
Givens
- A = ??
- P = 165,000
- r = 8% = 8/100 = 0.08
- t = 3 years
Solution
- A = 165000*(1 + 0.08)^3
- A = 165000*(1.08)^3
- A = 165000*1.259712
- A = $207852
Answer: A
<em><u>Problem 2</u></em>
Givens
- P = 5000
- i = 17% = 17/100 = 0.17
- t = 15 years
- A = ?
Formula
A = P (1 + r)*t This is not compounded
Solution
A = 5000*(1 + 0.17)*15
A = [5000*1.17]*15
A = 5850 * 15
A = $87750
Answer C
Answer:
82.49 percent were at least high school graduates.
Step-by-step explanation:
We have been given that at 1950 x=0
and at 1960 x=10
And following this pattern at 2000 x=50
So, we have coordinates:
(0,34.7) and (50,87.8) for two point form we will find a function:
Using:![y-y_1=\frac{y_2-y_1}{x_2-x_1}\cdot (x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5Ccdot%20%28x-x_1%29)
Substituting the values in the formula we get:
![y-34.7=\frac{87.8-34.7}{50-0}(x-0)](https://tex.z-dn.net/?f=y-34.7%3D%5Cfrac%7B87.8-34.7%7D%7B50-0%7D%28x-0%29)
![y-34.7=1.062(x)](https://tex.z-dn.net/?f=y-34.7%3D1.062%28x%29)
y=1.062 x+34.7 is the linear function
(b) Now, we need to find the value at x= 1995 which will be equal to 45 according to the pattern followed
Put x=1995 in the function above we get:
y =1.062(45)+34.7
y=82.49 percent were at least high school graduates.
Answer:
e
Step-by-step explanation:
e
1.
Perpendicular. y=3x+4
Parallel. y=-1/3 x-8/3
2.
Perpendicular. y=-x-1
Parallel. y=x+11
3.
Perpendicular. y=7/4 x+8
Parallel. y=-7/4 x-9/7
4.
Perpendicular. y=4/5 x-3
Parallel. y=-5/4 x+35/2
yeesh, that took a while :) hope I helped!