Answer:
The correct answer is 20%
Hope this helped! :)
^-^
Start with
We observe that both fractions are not defined if 
. So, we will assume 
.
We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:
We multiply both sides by 
:
We move everything to one side and solve the quadratic equation:
We check the solution:
which is true
Solution
For this case we can do the following:
11y - 3x = 18
16y -3x = 33
We can multiply the first equation by -1 and we got:
-11y +3x =-18
16y -3x = 33
_______________
16y -11y = 33-18
5y = 15
y= 15/5 = 3
And then solving for x we got
x = -(18 -11*3)/ 3= -15/3 = 5
If you want to use integer tiles to find the product of 2(-5), think of it as you having 2 groups of 5 negative tiles, that is
-1 -1
-1 -1
-1 -1
-1 -1
-1 -1
Think of it as you having each of the -1 inside it's distinct tile. Now adding up these tiles you have -10.
Therefore 2(-5) is -10 using integer tiles.
If we are to use the number line, first draw your number line, then think of it as jumping twice while each jump is -5 big.
So the first jump from 0 will land on -5 and the second jump will land on -10 and that is the required answer using the number line.
Answer:
$13,200
Step-by-step explanation:
You need to use the simple interest formula
I = P * r * t
I = Interest accrued
P = Principal amount invested
r = Interest rate you need to divide by 100 to get it in decimal form
t = time, in years if you are given a partial year, divide the months by 12
P = $12,000
r = 7.5% = .075
t = 1
But, because we want I to equal $990 then I is
I = $990
So we ignore our P and instead solve for the P that will give us the desired result.
I = P * r * t
$990 = P * .075 * 1
$990 = P.075 Divide each side by .075
$990/.075 = P.075/.075
$990/.075 = P
$13,200 = P
So, to earn an annual interest income of $990, $13,200 will have to be invested in the 7.5% bond.
