If you're just looking for the simplified equation that would be : 5t + 28 = 6t - 34
But if you're looking to find the value of "t" that would be : t = 62
If then, you are looking for the answer to the equation with t inserted, the equations are equal both sides equal : 338
I hope that answered your question. If not, lmk.
So the slope intercept form is y=mx+b where m is slope and b is y intercept
so 16x+2y=12
subtract 16x from both sides
2y=12-16x
divide both sides by 2
y=-8x+6
slope is -8 and y intercept is 6
<span>
the main formula is </span>(cd)(x)=c(x).d(x) <span>
If c(x) = 4x – 2 and d(x) = x2 + 5x
so </span> (cd)(x) = (4x – 2)(x2 + <span>5x)=4x^3+20x²-2x²-10x=4x^3+18x²-10x
so the answer is A: </span><span>4x^3+18x²-10x</span><span>
</span>
Answer:
- $5000 at 10%, $10000 at 12% and 10000 at 16%
Step-by-step explanation:
- <em>One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?</em>
==================
Let the parts be x, y and z
<u>As per given we get below system of equations:</u>
- x + y + z = 25000
- 0.1x + 0.12y + 0.16z = 3200
- 0.1x + 0.2y = 0.16z
<u>Substitute 0.1x + 0.2y in the second equation:</u>
- 0.16z + 0.16z = 3200
- 0.32z = 3200
- z = 3200/0.32
- z = 10000
<u>Now we have:</u>
- x + y + 10000 = 25000 ⇒ x + y = 15000
and
- 0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600
<u>Multiply the second equation and then subtract the first one:</u>
- 10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000
- x + 1.2y - (x + y) = 16000 - 15000
- 0.2y = 1000
- y = 10000
Then
<u>So the parts are:</u>
- $5000 at 10%, $10000 at 12% and 10000 at 16%
value of y which satisfies equation 
is 
.
<u>Step-by-step explanation:</u>
We have , 3y+8=7y+11 . We need to find which value of y satisfies this equation 3y+8=7y+11 :
⇒
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒
Therefore, value of y which satisfies equation is .
