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.
Answer:

Step-by-step explanation:
Given that,
The sum of first n term of a sequence is
We need to find the sum of the first 5 terms.
Put n = 5,

So, the sum of first 5 terms is equal to
.
Answer:
Just divide the numbers by 10 and then multiply the quotient by 2. hope this helped
When trying to determine the distance between two points, one would use the distance formula.
The distance formula is attached above and all you need to do is plug in the points in order to get the distance.
For example, if you were to plug them in, you would get:
√(0+4)^2 + (0+2)^2
Answer:
The answer is 8 - 4i
you collect the like terms