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Leno4ka [110]
3 years ago
9

Consider the following equation. x+4/x-6 +3/2x+5=7. What are the constraints on x?

Mathematics
1 answer:
TiliK225 [7]3 years ago
6 0
X cannot be 6 or -2/5  because if they were the denominator would be zero
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A total of $12,000 is invested in two corporate bonds that pay 7.5% and 9% simple interest. The invest wants an annual interest
nlexa [21]

Answer:

$13,200

Step-by-step explanation:

You need to use the simple interest formula

I = P * r * t

I = Interest accrued

P = Principal amount invested

r = Interest rate          you need to divide by 100 to get it in decimal form

t = time, in years        if you are given a partial year, divide the months by 12

P = $12,000                                    

r = 7.5% = .075                                    

t = 1                                                  

But, because we want I to equal $990 then I is

I = $990

So we ignore our P and instead solve for the P that will give us the desired result.

I = P * r * t

$990 = P * .075 * 1

$990 = P.075        Divide each side by .075

$990/.075 = P.075/.075

$990/.075 = P

$13,200 = P

So, to earn an annual interest income of $990, $13,200 will have to be invested in the 7.5% bond.

6 0
3 years ago
What is the solution to this system of linear equations?<br><br> x + y = 4<br><br> x − y = 6
Amiraneli [1.4K]
X+y = 4, therefore y = 4-x when you rearrange the equation.
You can subsitute this in: x-(4-x) = 6
-4+x = 6-x
x=10-x
2x = 10
x = 5
Substitute x into the previous equation:
5+y = 4
y = 4-5
y = -1
5 0
3 years ago
Read 2 more answers
Do the equations y = -6x +4 and y = 4x + 6 have one solution, no solution, or infinitely many solutions
Black_prince [1.1K]

Answer:

One solution

Step-by-step explanation:

We know there is only one solution because the lines do not have the same slope, nor are they the exact same line.

So we know they must have just one solution.

Best of luck

6 0
2 years ago
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Who's ur favorite song artist?
sukhopar [10]
Probably Metallica or Pink Floyd
7 0
3 years ago
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A sign on Corey's house says it was built in MDCCCXXX. What year is this?
Bad White [126]

It is approximately 1830.

M=1000

D=500

C=100

X=10

7 0
3 years ago
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