A prism and a pyramid are side by side. they have the same height and same base are. the volume of the prism would be ? times the volume of the pyramid?

The volume of the prism is 3 times the volume of the cone

Step-by-step explanation:

step 1

we know that

The area of the prism is given by the formula

----> equation A

where

B is the area of the circular base

h is the height of the prism

step 2

The area of the cone is given by the formula

----> equation B

where

B is the area of the circular base

h is the height of the cone

In this problem we have that they have the same height and same base area

so

substitute equation A in equation B

solve for V_p

therefore

The volume of the prism is 3 times the volume of the cone

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.