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3 years ago

Please help me answer. Thanks in advance.

Mathematics

1 answer:

Aleksandr [31]3 years ago

8 0

72kg - 54kg
180kg - xkg

cross multiply

72 · x = 180 · 54

72x = 9720 |divide both sides by 72

x = 135

Answer: 135kg.

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Consider the differential equation: dy/dx = (y-2)(x^2+1)

Klio2033 [76]

Answer:

Step-by-step explanation:

Given,

$\dfrac{dy}{dx}=(y-2)(x^2+1)$ ...(i)

Differentiating w.r. to x.

$\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)\dfrac{dy}{dx}$

From equation (1)

$\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)^2(y-2)$

Now, at the point (1,3)

$\dfrac{d^2y}{dx^2}= (3-2)(2\times 1)+ (1^2+1)^2(3-2)$

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Solve for x 4x – 4<8 AND 9x +5 > 23

Leno4ka [110]

Answer:

x<3 AND x>2

Step-by-step explanation:

First, 4x-4<8. Adding 4 to both sides, 4x<12, and dividing by 4, x<3.

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3 years ago

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Marat540 [252]

Answer:

Step-by-step explanation:

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7 0

3 years ago

bridget recieved 1400 from her grandfather as a birthday gift she decided to put the money in an account to save for college the

Simora [160]

Answer:

The amount received after 5 years is 1827.39

Step-by-step explanation:

The amount received by Bridget from his grandfather as the birthday gift = 1400 .

Since he wants to deposit it and save for college, he earns interest rate = 5.4%

He deposited this money for the years = 5 years.

Here, the Present value (PV) is = 1400

Interest rate ( r ) = 5.4% or 0.054

Since the interest rate is compounded semi annually, So, n = 10

Now if we calculate the future value of 1400 with interest rate 5.4 percent:

$\text{The amount received after 5 years} = PV(1 + \frac{r}{2} )^{n} \\$

$= 1400(1 + \frac{0.054}{2})^{10} \\$

$= 1827.39$

Therefore, 1827.39 will be the total money in his account after five years.

5 0

3 years ago