Answer:
The scale factor is 
Step-by-step explanation:
The volume of the original prism is 
The volume of the dilated prism is 
Let the scale factor be 
.
To find the volume of the dilated prism, we multiplied by 
.
![\Rightarrow k=\sqrt[3]{\frac{27}{8}}](https://tex.z-dn.net/?f=%5CRightarrow%20k%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B27%7D%7B8%7D%7D)
Convert all of them in decimals
3 ÷ 10 = 0.3
0.4
35% ÷ 100 = 0.35
Order from least to greatest--
3/10, 35%, 0.4
3/10 is the smallest
Since interest=investment*interest rate*time in years for simple interest, we know that there are 2 separate investments. If the amount invested at 6% simple interest is x dollars and the amount invested at 8% is y dollars, then we know that x+y=6000 since she spent all 6000 dollars on only 2 separate investments. Subtracting y from both sides, we get that 6000-y=x. In addition, we know that her interest for the 6% interest rate is x*0.06*1 as well as y*0.08*1 for the 8% simple interest. Since the total interest is 410$, we know that x*0.06*1+y*0.08*1=410. Since y=6000-x, we plug that in to get x*0.06+(6000-x)*0.08=410. Using the distributive property to expand, we get x*0.06+480-0.08x=410=-0.02*x+480. Subtracting 480 from both sides, we get -0.02*x=-70. After that, we can multiply both sides by -50 (since -0.02 times -50 is 1) to get x=3500=amount invested at 6%. Since the amount invested at 8% is 6000-x, that equals 6000-3500=2500
Answer:
It won't work.
Step-by-step explanation:
