Answer:
n= 11.65 years
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $33,000
Future Value (FV)= $15,000
Decrease rate (d)= 7%
<u>To calculate the number of years it will take to reach $15,000; we need to use the following formula:</u>
<u></u>
n= ln(FV/PV) / ln(1+d)
n= ln(15,000/33,000) / ln(1.07)
n= 11.65 years
You will have a 3:6 probability of getting an even number
Given:
Total number of students at Colfax Middle School = 270
Ratio of boys to girls is 5:4.
Total number of students at Winthrop Middle School = 180
Ratio of boys to girls is 4:5.
The two schools hold a dance and all students from both schools attend.
To find:
The fraction of the students at the dance are girls
Solution:
There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4.

Number of boys 
Number of girls 
There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4:5.

Number of boys 
Number of girls 
Now,
Total number of students in both schools 

Total number of girls in both schools 

The fraction of the students at the dance are girls is



Therefore, the required fraction is
.
In order to solve this using V= B(h) (The B is area of the base) you need a radius it doesn't give us that but it does give us the circumference.
C= 3.14(2r)
25.12=2r divide each by 2
12.56=r
now use this in the volume formula:
V= 12.56^2(3.14)(66)
V=32,692.86 cubic inches
There's only information to answer question C.
We can only know that 32 marbles were chosen. (yellow and black)
Why?
To answer the first two questions (a and b), we need to know the total number of marbles, so, we can only answer the last question (c).
We know that 7/10 of the 20 yellow marbles were chosen.
So, calculating we have:

Also, we know that 18 black marbles were chosen, so, the total of marbles chosen is equal to 32 (yellow marbles and black marbles)

Have a nice day!