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DerKrebs [107]
3 years ago
5

9x+5y=8 3x–y=4 what is the y-value of the solution to the system?

Mathematics
1 answer:
CaHeK987 [17]3 years ago
3 0

Answer:

y=7.51

Step-by-step explanation:

First, you have to simplify one of the equations down

3x-y=4

y=-4+3x

Second, you insert the value of y into the other equation and then solve for x

9x+5(-4+3x)=8

9x-20+15x=8

24x=28

x=1.17

Last, insert the value of x into the original equation and then solve for y

y=4+3(1.17)

y=7.51

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If $300 is invested at a rate of 6% per year and is compounded quarterly, how much will the investment be worth in 12 years?
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Answer:

$613.04

Step-by-step explanation:

<em>Compound Interest Formula:</em>

   A = P(1+\frac{r}{n})^{nt}

   n = number of compounds

   t = time

   r = interest rate

   P = principle amount (original amount)

   A = final amount

Since it's compounded quarterly, that means there will be 4 compounds per year, so n=4. The interest rate has to be converted to the decimal value, and this is done by simply dividing it by 100 to get r=0.06.

Plug Values into equation:

A = 300(1+\frac{0.06}{4})^{12*4}

Simplify inside parenthesis

A = 300(1.015)^{48}

Calculate exponent

A \approx 300(2.043478)

Multiply values

A \approx 613.04348

Round

A = 613.04

7 0
2 years ago
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Vinil7 [7]
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Step-by-step explanation:

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Which expression is equivalent to (1/4ab)^-2? Assume a is not equal to 0,b is not equal to 0
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23634+647342398+4673463472+56-12323+2312
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