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3 years ago

−3x + 7y = −16 −9x + 5y = 16 slove this

Mathematics

1 answer:

Ahat [919]3 years ago

5 0

{-3x+7y=-16 ⇒ -3x=-16-7y (↓)

{-9x+5y=16

The second equation:

-9x+5y=16

3*(-3x)+5y=16 Substitute -3x (↑)

3* (-16-7y)+5y=16

-48-21y+5y=16 /+48

-16y=64 /:(-16)

y=-4

-3x=-16-7y

-3x=-16-7*(-4)=-16+28=12

-3x=12 /:(-3)

x=-4

Solution: (-4; -4)

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3 years ago

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3 years ago

How much money has to be invested at 5.9% interest compounded continuously to have $15,000 after 12 years?

scoray [572]

The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.

Step-by-step explanation:

The given is,

Future value, F = $15,000

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( compounded continuously )

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Step:1

Formula to calculate the present with compounded continuously,

$F=Pe^{(i)(t)}$ ...............(1)

Substitute the values in equation (1) to find the P value,

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$P=\frac{15000}{2.0299}$

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3 years ago

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3 years ago