Factor completely. x2+7x−18 Answer now PLZZZZZ

Mathematics

1 answer:

zimovet [89]2 years ago

4 0

Answer: ( − 2) ( + 9)

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Frank purchased an air conditioner for $3000. Its value depreciates at a rate of 8% each year. How much will the air conditioner

Lina20 [59]

Answer:

$2280

Step-by-step explanation:

Given: Cost of Air conditioner= $3000.

Rate of depreciation= 8%

Number of year= 3 years.

Now, finding the depreciation for 3 years.

Depreciation= $\frac{Cost\ of\ air\ conditioner\times rate\ of\ depreciation\times years}{100}$

Amount of depreciation= $\frac{\$ 3000\times 8\times 3}{100} = \$ 30\times 24$

∴ Amount of depreciation in 3 years is $720.

Cost of Air conditioner after 3 years= $Original\ cost - Amount\ of\ depreciation$

⇒ Cost of Air conditioner after 3 years= $\$ 3000-\$ 720= \$ 2280.$

∴ Cost of Air conditioner in 3 years is $2280.

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Elenna [48]

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2 years ago

Use the chain rule calculate dw/dr , dw/ds and dw/dt

Liono4ka [1.6K]

Answer:

$\frac{dw}{dr} = \frac{8\cdot r}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}$ , $\frac{dw}{ds} = \frac{10\cdot s}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}$ , $\frac{dw}{dt} = -\frac{2\cdot t}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}$

Step-by-step explanation:

We proceed to derive each expression by rule of chain. Let be $w = \ln (x+2\cdot y + 3\cdot z)$ , $x = r^{2}+t^{2}$ , $y = s^{2}-t^{2}$ and $z = r^{2}+s^{2}$ :