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2 years ago

Please help i really need it

Mathematics

1 answer:

Naya [18.7K]2 years ago

3 0

Answer:

Oliver's living expenses- 520(.1)=$52

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The population of a town grows exponentially. After 1 year, the population is 34,560. After 2 years, the population is 37,325. W

Vladimir [108]

Exponential growth has the form:

F=Ir^t, F=final amount, I=initial amount, r=rate, t=time.

First let's solve for the rate, r, using the points provided...

37325/34560=(Ir^2)/(Ir^1)

r≈1.08

Now find the initial amount...

34560=I(1.08)^1

I=32000 so now we have the entire equation, using x and y...

y=32000(1.08)^x

6 0

2 years ago

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Calculate two iterations of Newton's Method for the function using the given initial guess. (Round your answers to four decimal

pickupchik [31]

Answer:

The first and second iteration of Newton's Method are 3 and $\frac{11}{6}$ .

Step-by-step explanation:

The Newton's Method is a multi-step numerical method for continuous diffentiable function of the form $f(x) = 0$ based on the following formula:

$x_{i+1} = x_{i} -\frac{f(x_{i})}{f'(x_{i})}$

Where:

$x_{i}$ - i-th Approximation, dimensionless.

$x_{i+1}$ - (i+1)-th Approximation, dimensionless.

$f(x_{i})$ - Function evaluated at i-th Approximation, dimensionless.

$f'(x_{i})$ - First derivative evaluated at (i+1)-th Approximation, dimensionless.

Let be $f(x) = x^{2}-8$ and $f'(x) = 2\cdot x$ , the resultant expression is:

$x_{i+1} = x_{i} -\frac{x_{i}^{2}-8}{2\cdot x_{i}}$

First iteration: ( $x_{1} = 2$ )

$x_{2} = 2-\frac{2^{2}-8}{2\cdot (2)}$

$x_{2} = 2 + \frac{4}{4}$

$x_{2} = 3$

Second iteration: ( $x_{2} = 3$ )

$x_{3} = 3-\frac{3^{2}-8}{2\cdot (3)}$

$x_{3} = 2 - \frac{1}{6}$

$x_{3} = \frac{11}{6}$

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3 years ago

A triangle has a base of 9 feet and a height of 12 ft. What is the area of a triangle? A. 42ft^2 B. 54 ft^2 C. 84 ft^2 D. 108 ft

elena55 [62]

Answer:54sqft

Step-by-step explanation:

A=b*h/2

A=9*12/2=54sqft

5 0

2 years ago

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2 Through which pairs of points could a trend line

navik [9.2K]

Answer:

I'm pretty sure the answers are A and C but B could possibly be an answer too

hope this helped

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2 years ago

Mark and Edina have saved $15,600 and make a combined pay of $8,754 each month. What is the maximum amount they can spend on a h

Phantasy [73]

Given: $15,600 - savings
8,754- combined pay each month

Unknown: How much maximum amount they can spend on a house (loan & savings combined)?

Solution: $15,600 + 8,754=n

Answer: $24,354 is the maximum amount they spent (loan & savings combined)

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2 years ago

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