You add -125 by its opposite which is 125 so 2x(-125+125)=400+125
2x=525
You then divide both sides by 2 and you get
X=262.5
A total of $27,000 was invested; part of it at 10% and part of it at 12%. The total yield was $2990. How much was invested at each rate?
Let
x -----> amount invested at 10%
(27,000-x) -----> amount invested at 12%
we have that
0.10(x)+0.12(27,000-x)=2990 ------> equation A
solve for x
0.10x+3,240-0.12x=2,990
0.12x-0.10x=3,240-2,990
0.02x=250
x=$12,500
so
27,000-x=27,000-12,500=$14,500
therefore
amount invested at 10% ----> $12,500
amount invested at 12% -----> $14,500
Answer:
The type of function is cexponential and Alinear
Answer:
Step-by-step explanation:
The last equation has 2 variables
If we double the first equation and subtract the second one from it, we get rid of y and then comparing the new equation with the last one we can easily solve it
<u>Step 1</u>
- 2(2x + y + 3z) = 2*20
- 4x + 2y + 6z = 40
<u>Step 2</u>
- 4x - x + 2y - 2y + 6z - (-z) = 40 - (-11)
- 3x + 7z = 51
<u>Step 3</u>
- 3x + 7z - (3x - 2z) = 51 - (-3)
- 7z + 2z = 54
- 9z = 54
- z = 6
<u>Then finding x</u>
- 3x - 2*6 = -3
- 3x = 12 - 3
- 3x = 9
- x = 3
<u>Then finding y using the first equation</u>
- 2*3 + y + 3*6 = 20
- y + 24 = 20
- y = -4
<u>The answer:</u>
