Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Monthly deposit= $100
Interest rate= 0.06/12= 0.005
Number of periods= 12*5= 60 months
<u>a)</u>
<u>To calculate the future value, we need to use the following formula:</u>
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {100*[(1.005^60) - 1]} / 0.005
FV= $6,977
b) <u>If the deposit is at the beginning of the month, the interest is compounded one more period</u>. We need to use the following formula:
FV= {A*[(1+i)^n-1]}/i + {[A*(1+i)^n]-A}
FV= 6,977 + {[100*(1.005^60)] - 100}
FV= 6,977 + 35
FV= $7,012
Answer:
x/5 = 5280/1
Step-by-step explanation:
this is a proportion set up and then cross multiple. You will get your answer for x. Which is 26, 400 feet.
Total of $7.75
13 more quarters than nickels
15 nickels = $0.75
28 quarters = $7.00
28 - 15 = 13 coins
$7.00 + $0.75 = $7.75
She has 15 nickels and 28 quarters.
Each side is 9 cm. a square has equal sides, so 36 divided by 4= 9
Answer: The distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.
Step-by-step explanation:
Since we have given that
Distance between Ships A and B = 1425 feet
Angle of depression from ship A to the submarine =59°
Angle of depression from ship B to the submarine = 47°
As shown in the figure below:
Remaining angle will be
![180\textdegree-(47\textdegree+59\textdegree)\\\\=180\textdegree-106\textdegree\\\\=74\textdegree](https://tex.z-dn.net/?f=180%5Ctextdegree-%2847%5Ctextdegree%2B59%5Ctextdegree%29%5C%5C%5C%5C%3D180%5Ctextdegree-106%5Ctextdegree%5C%5C%5C%5C%3D74%5Ctextdegree)
So, we will use "Sine formula ":
![\frac{\sin 74\textdegree}{1425}=\frac{\sin 59\textdegree}{B}\\\\B=\frac{1425\times \sin 59\textdegree}{\sin 74\textdegree}\\\\B=1270.68\ feet](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%2074%5Ctextdegree%7D%7B1425%7D%3D%5Cfrac%7B%5Csin%2059%5Ctextdegree%7D%7BB%7D%5C%5C%5C%5CB%3D%5Cfrac%7B1425%5Ctimes%20%5Csin%2059%5Ctextdegree%7D%7B%5Csin%2074%5Ctextdegree%7D%5C%5C%5C%5CB%3D1270.68%5C%20feet)
Similarly,
![\frac{\sin 74\textdegree}{1425}=\frac{\sin 47\textdegree}{A}\\\\A=\frac{1425\times \sin 47\textdegree}{\sin 74\textdegree}\\\\A=1084.18\ feet](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%2074%5Ctextdegree%7D%7B1425%7D%3D%5Cfrac%7B%5Csin%2047%5Ctextdegree%7D%7BA%7D%5C%5C%5C%5CA%3D%5Cfrac%7B1425%5Ctimes%20%5Csin%2047%5Ctextdegree%7D%7B%5Csin%2074%5Ctextdegree%7D%5C%5C%5C%5CA%3D1084.18%5C%20feet)
Hence, the distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.