Answer:
V = 140 pi ft^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 Bh where B is the area of the base
V = 1/3 (35 pi) * 12
V = 4*35 pi
V = 140 pi ft^3
We cannot approximate pi if we want the exact answer
Answer:
20 years.
Step-by-step explanation:
We have been given a formula
, which represents the value of an investment A (in dollars) after t years.
Substitute the given values:

Let us solve for k.


Take natural log of both sides:

Using property
, we will get:

We know that
, so

Dividing both sides by 1000, we will get:

Take natural log of both sides:







Divide both sides by
:


Therefore, it will take 20 years for the investment to be $9,000.
Answer:
80.796,64
Step-by-step explanation:
we know that
The fraction of each tile color can be found by dividing the number of tiles for each tile by the total number of tiles, then simplifying the fraction if possible.
Let
N----------> total number of tiles
Y---------> number of yellow tiles
B--------> number of blue tiles
P--------> number of purple tiles
we have

<u>1) Find the fraction of yellow tiles</u>
we know that
the fraction of yellow tiles is equal to

substitute the values

<u>2) Find the fraction of purple tiles</u>
we know that
the fraction of purple tiles is equal to

substitute the values

<u>3) Find the fraction of yellow tiles or purple tiles</u>
we know that
the fraction of yellow tiles or purple tiles is equal to

therefore
<u>the answer is</u>

To work this out you need to do 80 - 64 - 4.16 = 11.48
he received $11.48 change