Answer:

Step-by-step explanation:
Let
x-----> the total students in the marching band
Applying proportion

Answer:
71°
Step-by-step explanation:
BDH is a triangle (as seen on figure)
<BDH + <DBH = <DHE ( Sum of two interior angles of a triangle is equal to the opposite exterior angle)
40° + 31° = X
X = 71°
Answer:
5/6
Step-by-step explanation:
slope = 4-(-1)/8-2 = 5/6
The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.
Step-by-step explanation:
The given is,
Compounds money quarterly
Double your money in 10 years
Step:1
Formula to calculate future investment with compounded quarterly,
...............................(1)
Where, A - Future amount
P - Initial investment\
r - Rate of interest
n - No. of compounding in a year
t - No. of years
Step:2
Let, P = X
A = 2X ( Double your money )
From given, n - 4 ( for compounding quarterly )
t - 10 years
From equation (1)



Take root
root on both side,
![\sqrt[40]{2} = (1+\frac{r}{4} )](https://tex.z-dn.net/?f=%5Csqrt%5B40%5D%7B2%7D%20%3D%20%281%2B%5Cfrac%7Br%7D%7B4%7D%20%29)





r = 6.992 %
Result:
The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.
Answer:
The answer to your question is: 5 bottles
Step-by-step explanation:
Process
First week
Divide 24 by 8
24/8 = 3 bottles = 1/8
but Sanjay drank 3/8 = 9 bottles
And there are 24 - 9 bottles left = 15
- Second week
Divide 15 by 3
15/3 = 5 then 5 bottles = 1/3
but sanjay drank 2/3 = 10 bottles
Then, there are 15 - 10 bottles left = 5