Answer:
- The amount invested at 5%=$77,000
- The amount invested at 9%=$349,000
Step-by-step explanation:
- Let the amount invested at 5% simple interest =$x
He invested $41,000 more than 4 times the amount at 9%.
- This amount is: $(4x+41000)
Total Annual Interest Earned = $35,260
Therefore, Time=1 year
Simple Interest
Therefore, his total interest
=Interest from Investment 1 + Interest from Investment 2
Therefore:
The amount invested at 5%=$77,000
The amount invested at 9%=$(4*77,000+41000)=$349,000
We need to separate his total earnings out into the different categories:
Category 1 (2%): 30,000
Category 2 (3%): 60,000-30,000 = 30,000
Category 3 (5%): 92,000-60,000 = 32,000
To calculate a percentage we multiply by that percentage divided by 100.
Now we can work out the commissions:
1) 30,000*0.02 = $600
2) 30,000*0.03 = $900
3) 32,000*0.05 = $1600
Adding these together, we get $3100
Answer:
Step-by-step explanation:
Solve for 
:
-Multiply both sides of the equation by the denominator 
:
-Subtract both sides by 
:
So, the value of is 
.
Answer:
(1,4)
Step-by-step explanation:
The two lines intersect at 1,4 when you graph them
The first equation is already in slope intercept from, so you know the y-int. is 7 and the slope is 3. However, the second equation must be put in slope int. form.
5x+2y=3
move the y to the other side
5x=3-2y
move the 3 to the other side, so the y variable is by itself
5x-3=-2y
divide by -2 to the equation is equal to y
(-5x/2)+(3/2)=y
you now know the y int. of the second equation is 3/2 and the slope is -5/2
know that you know the slop int. formulas for both equations you can graph them
