Answer:
Short-Term investment: 5000$
Intermediate-Term investment: 65000$
Long-Term investment: 30000$
Step-by-step explanation:
To construct our first equation lets define sort-term bond investment as x, long-term investment as y.
So the equation is:

From the equation it is found that:

Instead of y, if we put 25000+x the equation will be as following:

From the equation it is found that:

Short-Term investment is 5000$

Long-Term investment is 30000$
Rest of the money is Intermediate-Term investment 65000$
3+5(x-4)
= 3 + 5x - 20
= 5x - 17
3(x-6) = -12
3x - 18 = -12
3x = 6
x = 2
Answer:
55 marbles.
Step-by-step explanation:
You multiply 3 and 6 and that equals 18. You multiply the numbers together because you know he has 3 bags of marbles and he has 6 marbles in each bag. Then you take the 18 marbles and add them together with the 37 marbles and you get 55 marbles.
Answer:

Step-by-step explanation:
The equation
is a <em>linear equation</em>. By definition, the independent term on this equation (that is, the number that is not being multiplied by
) is the <em>y-intercept</em>, which is a fancy way of saying "the point where the line crosses the y-axis".
By looking at the equation, we know that our y-intercept is <em>c. </em>By looking at the graph, we can see that the y-intercept is -3. Therefore,
and we get the complete version of our linear equation:

Now, looking at the graph we can see that the point
lies on the line of the equation, which means that the point is a solution to our equation. All we have to do is replace
and
by the values of the given point (which are
and
, respectively), and then solve for
:

And we are done!
Let a and b represent the heights of the corresponding buildings (in meters).
... a = b +271 . . . . . . . a is 271 meters taller than b
... 2b -a = 211 . . . . . . if a is subtracted from twice b, the result is 211
Use the expression for a in the first equation to substitute for a in the second.
... 2b - (b+271) = 211
... b = 482 . . . . . . . . . . . simplify and add 271
... a = b +271 = 753
Building a is 753 meters tall; building b is 482 meters tall.