Given:
Principal = $1290
Rate of simple interest = 4%
Time = 9 months
To find:
The interest and total saving in the account altogether.
Solution:
The formula for simple interest is
...(i)
where, P is principal, r is rate of interest and t is time in years.
We know that,
Putting P=1290, r=4 and t=0.75 in (i), we get
So, the simple interest is $38.70.
Total savings is
Therefore, the total amount in the account altogether is $1328.70.
Answer:
Orion's belt width is 184 light years
Step-by-step explanation:
So we want to find the distance between Alnitak and Mintaka, which is the Orions belts
Let the distance between the Alnitak and Mintaka be x,
Then applying cosine
c²=a²+b²—2•a•b•Cosθ
The triangle is formed by the 736 light-years and 915 light years
Artemis from Alnitak is
a = 736lightyear
Artemis from Mintaka is
b = 915 light year
The angle between Alnitak and Mintaka is θ=3°
Then,
Applying the cosine rule
c²=a²+b²—2•a•b•Cosθ
c² =736² + 915² - 2×, 736×915×Cos3
c² = 541,696 + 837,225 - 1,345,034.1477702404
c² = 33,886.85222975954
c = √33,886.85222975954
c = 184.0838184897 light years
c = 184.08 light years
So, to the nearest light year, Orion's belt width is 184 light years
