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.
“Times as fast” means you need to multiply the original speed (10^11) by how many times faster the faster processor works:
10^11 instructions/second • 10^3 faster = 10^14 instructions/second
The key is “___ times as fast”.
Answer:
y = 1/3 x.
Step-by-step explanation:
The slope of the given line is
(4 - (-2) / 2 - 4)
= -3.
So the slope of the line perpendicular to it = -1 / (-3) = 1/3.
This line also passes through the point (3, 1) so its equation is ( by the point-slope form):
y - 1 = 1/3(x - 3)
y - 1 = 1/3x - 1
y = 1/3 x (answer).
hope that help you mark me brinilylist
Hey, I'll be happy to assist you, but I need a picture or diagram with the measurements of the polygon and the poly itself :)
It looks like a reflection over the y-axis. There's a formula you can use when doing reflections over the y-axis, (x,y) is going to become (-x, y) thats also the coordinate rule I think.
If you apply that rule to each point you should get the reflected image.
G- (1, 3) then (-x,y) to get (-1,3)
E- (1, 2) then (-x,y) to get (-1, 2)
V- (5, 1) then (-x,y) to get (-5, 1)
X- (3, 3) then (-x,y) to get (-3, 3)
