Answer:
$3100 is invested at 9%
$4900 is invested at 11%
Step-by-step explanation:
Let's take "x" be the amount invested at 9%.
(x + 1800) is invested in another account at 11%.
The interest amount earned by the two accounts is $818.
Here we can use the simple interest formula and find the amount invested in each account.
Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.
Simple interest =
0.09x + 0.11(x+1800) = 818
Now we have to simplify and find the value of x .
Use the distributive property and simplify the second term.
0.09x + 0.11x + 198 = 818
0.2x + 198 = 818
0.2x =818 - 198
0.2x = 620
x = 620/0.2
x = 3100.
So $3100 is invested at 9%
x + 1800 = 3100 + 1800
= $4900
$4900 is invested at 11%
Hope this helped.
Hi there,
It is 1 4/5. In decimal it is 1.8. Hope it helps:-)
Since all sides of the square are equal, therefore area of square can be calculated using the following rule:
area of square = side^2
200 = (side length)^2
therefore,
the length of each side is sqrt(200) = 14.14 ft
Answer:
Equation of line , 5x + 3y = 0
Step-by-step explanation:
The slope of a line passing through points (x₁,y₁) and (x₂,y₂) is given by 
Here points are given by (-3,0) and (-6,5)
Slope
The slope of parallel lines are same. So slope of required line 
Equation of a line with slope m passing through origin is given by
y =mx
So equation of line, 
Equation of line , 5x + 3y = 0
We know that According to Law of Sines :
where A - B - C are the Angles of the Three Vertices of the Triangle
a - b - c are the lengths of the Opposite sides of the Angles of the Respective Vertices A - B - C
From the Given Triangle we Can Notice that :
SinC = 0.682
C = 43°
