Answer:
At 7% $54,000
At 9% $156,000
Step-by-step explanation:
Let x be the amount invested at 7%, Then 2x + 48000 will be the amount invested at 9%
We know that:
7% = 0.07 & 9% = 0.09
So we can write the interest equation as follows:
0.07x + 0.09 (2x + 48000) = 17820
0.07x + 0.18x + 4320 = 17820
0.25x + 4320 = 17820
Subtracting 4320 from both sides of the equation we get:
0.25x = 17820 - 4320
0.25x = 13500
Dividing both sides of the equation by 0.25 we get:
x = 13500 / 0.25
x = $54,000 invested at 7%
&
2 x 54000 + 48000
= $156,000 invested at 9%
Hence the amount invested at 7% is $54,000.
& the amount invested at 9% is $156,000.
The algebraic expression for a phrase is: 
.
Hope this help.
Answer:
2x^1+1
Step-by-step explanation:
Area=L X W
which means that (14x^4+7x^2) needs to be divided by 7x^2
factorise(14x^4+7x^2) which gives 7x(2x^2+1)
divide 7x(2x^2+1) by 7x^2
gives 2x^2 +1
Answer:
If you're looking for H it could be 6
Step-by-step explanation:
bc 6/3+16=18 so 6/3=2 so 2+16=18
Answer:
Step-by-step explanation:
As C and D are both at y = -9, the line below V₂ is vertical and located at
x = ½(22 + (-2) = 10
The line between V₁ and V₂ will contain the point halfway between B and D.
x = ½(14 + (-2)) = 6
y = ½(7 + (-9)) = -1
(6, -1)
The slope of the line between V₁ and V₂ is the same as between V₁ and our just found midpoint between B and D
m = (5 - (-1)) / (0 - 6) = -1
so the line equation is
y = -x + 5
Which intersects x = 10 at
y = -10 + 5 = -5
V₂ = (10, -5)
The distance between V₂ and B, C, and D is
d = √((14 - 10)² + (7 - (-5))²) = √160
The distance between V₁ and B, A, and D is
d = √((-10 - 0)² + (15 - 5)²) = √200
As √200 > √160, the dump should be located at V₁ or at least √200 away from any two of the points
