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Oliga [24]
3 years ago
11

Using the numbers 2, 3, 6, 8 write two powers that have the same value PLEASE HELP ME!!!

Mathematics
1 answer:
Neko [114]3 years ago
3 0
O to the power of 2 i think
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Mark has $100,000 to invest. His financial consultant advises him to diversify his investment in three types of bonds: short-ter
galina1969 [7]

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:

x*0,04+(100000-x-y)*0,05+y*0,06=5250

From the equation it is found that:

y=25000+x

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

x*0,04+75000*0,05+(25000+x)*0,06=5250

From the equation it is found that:

x=5000

Short-Term investment is 5000$

x+25000=y

Long-Term investment is 30000$

Rest of the money is Intermediate-Term investment 65000$

5 0
3 years ago
Simplify 3 + 5(x - 4)
tino4ka555 [31]
3+5(x-4)
= 3 + 5x - 20
= 5x - 17

3(x-6) = -12
3x - 18 = -12
3x = 6
x = 2
3 0
3 years ago
Connor had 37 green marbles. Then he bought 3 bags of blue marbles. There were 6 marbles in each bag. How many marbles does Conn
ycow [4]

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.

8 0
3 years ago
The diagram shows the graph of y = 2x + c, where c is a constant find the value of K.​
mote1985 [20]

Answer:

k=\frac{13}{2}

Step-by-step explanation:

The equation y=2x+c is a <em>linear equation</em>. By definition, the independent term on this equation (that is, the number that is not being multiplied by x) 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, c=-3 and we get the complete version of our linear equation:

y=2x-3

Now, looking at the graph we can see that the point (k,10) 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 x and y by the values of the given point (which are k and 10, respectively), and then solve for k:

10=2k-3\\10+3=2k\\13=2k\\2k=13\\k=\frac{13}{2}

And we are done!

4 0
3 years ago
Read 2 more answers
Building a is 271 meters taller than building
kvv77 [185]

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.

4 0
3 years ago
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